Last update:
Fri May 31 10:34:57 MDT 2024
R. E. Showalter and
T. W. Ting Pseudoparabolic Partial Differential
Equations . . . . . . . . . . . . . . . 1--26
Martin Harrow On the boundedness and the stability of
solutions of some differential equations
of the fourth order . . . . . . . . . . 27--32
E. L. Koh A Representation of Hankel Transformable
Generalized Functions . . . . . . . . . 33--36
M. J. Moran and
R. A. Gaggioli On the Reduction of Differential
Equations to Algebraic Equations . . . . 37--40
Ronald M. Mathsen Interpolation in the Solution Sets of
Ordinary Differential Equations . . . . 41--51
Keith Miller Least squares methods for ill-posed
problems with a prescribed bound . . . . 52--74
H. M. Srivastava Certain Results Involving Generalized
Hypergeometric Functions . . . . . . . . 75--81
L. E. Payne On a Priori Bounds in the Cauchy Problem
for Elliptic Equations . . . . . . . . . 82--89
David Colton Applications of a Class of Singular
Partial Differential Equations to
Gegenbauer Series which Converge to Zero 90--95
R. P. Gilbert The Construction of Solutions for
Boundary Value Problems by Function
Theoretic Methods . . . . . . . . . . . 96--114
N. A. Logan and
K. S. Yee Note on Contour Integral Representations
for Products of Airy Functions . . . . . 115--117
Richard A. Handelsman and
John S. Lew Asymptotic Expansion of Laplace
Transforms Near the Origin . . . . . . . 118--130
M. Wayne Wilson On the Hahn Polynomials . . . . . . . . 131--139
Fred W. Dorr Some Examples of Singular Perturbation
Problems with Turning Points . . . . . . 141--146
Herbert W. Hethcote Error Bounds for Asymptotic
Approximations of Zeros of
Transcendental Functions . . . . . . . . 147--152
Wolfgang Wasow Simple Turning-Point Problems in
Unbounded Domains . . . . . . . . . . . 153--170
Willard Miller, Jr. Lie Theory and $q$-Difference Equations 171--188
Martin Harrow Further results on the boundedness and
the stability of solutions of some
differential equations of the fourth
order . . . . . . . . . . . . . . . . . 189--194
William T. Reid Monotoneity Properties of Solutions of
Hermitian Riccati Matrix Differential
Equations . . . . . . . . . . . . . . . 195--213
R. E. Showalter Well-Posed Problems for a Partial
Differential Equation of Order $ 2 m + 1
$ . . . . . . . . . . . . . . . . . . . 214--231
B. C. Carlson Some Extensions of Lardner's Relations
between ${}_0 {F}_3 $ and Bessel
Functions . . . . . . . . . . . . . . . 232--242
L. Carlitz Some Reduction Formulas for Generalized
Hypergeometric Functions . . . . . . . . 243--245
Willard Miller, Jr. Lie Theory and Special Functions
Satisfying Second Order Nonhomogeneous
Differential Equations . . . . . . . . . 246--265
Yudell L. Luke Evaluation of the Gamma Function by
Means of Padé Approximations . . . . . . 266--281
C. Y. Chan Continuous Dependence on the Data for a
Stefan Problem . . . . . . . . . . . . . 282--287
Thomas J. Osler The Fractional Derivative of a Composite
Function . . . . . . . . . . . . . . . . 288--293
Benjamin Muckenhoupt Equiconvergence and Almost Everywhere
Convergence of Hermite and Laguerre
Series . . . . . . . . . . . . . . . . . 295--321
E. L. Koh The Hankel Transformation of Negative
Order for Distributions of Rapid Growth 322--327
L. Carlitz Note on Certain Triangular Arrays . . . 328--332
R. F. Millar The Location of Singularities of
Two-Dimensional Harmonic Functions. I:
Theory . . . . . . . . . . . . . . . . . 333--344
R. F. Millar The Location of Singularities of
Two-Dimensional Harmonic Functions. II:
Applications . . . . . . . . . . . . . . 345--353
L. E. Payne Some Isoperimetric Inequalities for
Harmonic Functions . . . . . . . . . . . 354--359
R. Wong On a Laplace Integral Involving
Logarithms . . . . . . . . . . . . . . . 360--364
J. Steinig The Real Zeros of Struve's Function . . 365--375
L. E. May Perturbations in Fully Nonlinear Systems 376--391
Frank Stenger The Asymptotic Approximation of Certain
Integrals . . . . . . . . . . . . . . . 392--404
Willard Miller, Jr. Lie Theory and Some Special Solutions of
the Hypergeometric Equations . . . . . . 405--425
Kusum Soni A Unitary Transform Related to Some
Integral Equations . . . . . . . . . . . 426--436
Seymour V. Parter Nonlinear Eigenvalue Problems for Some
Fourth Order Equations. I: Maximal
Solutions . . . . . . . . . . . . . . . 437--457
Seymour V. Parter Nonlinear Eigenvalue Problems for Some
Fourth Order Equations. II: Fixed-Point
Methods . . . . . . . . . . . . . . . . 458--478
R. E. O'Malley, Jr. On Boundary Value Problems for a
Singularly Perturbed Differential
Equation with a Turning Point . . . . . 479--490
Vaclav Dolezal A Representation of Linear Continuous
Operators on Testing Functions and
Distributions . . . . . . . . . . . . . 491--506
R. H. Martin, Jr. On the Asymptotic Behavior of Autonomous
Differential Equations . . . . . . . . . 507--514
Stephen R. Bernfeld Noncontinuous Lyapunov Functions and
Extendability of Solutions . . . . . . . 515--523
Henry E. Fettis On the Reciprocal Modulus Relation for
Elliptic Integrals . . . . . . . . . . . 524--526
Harry Pollard and
D. V. Widder Inversion of a Convolution Transform
Related to Heat Conduction . . . . . . . 527--532
F. W. J. Olver A Paradox in Asymptotics . . . . . . . . 533--534
W. R. Utz The Nonoscillation of a Solution of a
Third Order Equation . . . . . . . . . . 535--537
Keith B. Oldham On the Evaluation of Certain Sums
Involving the Natural Numbers Raised to
an Arbitrary Power . . . . . . . . . . . 538--546
A. Erdélyi and
A. C. McBride Fractional Integrals of Distributions 547--557
B. L. J. Braaksma Asymptotic Analysis of a Differential
Equation of Turrittin . . . . . . . . . 1--16
Robert P. Gilbert and
Chi Yeung Lo On the Approximation of Solutions of
Elliptic Partial Differential Equations
in Two and Three Dimensions . . . . . . 17--30
M. M. Saffren and
E. W. Ng Recursive Algorithms for the Summation
of Certain Series . . . . . . . . . . . 31--36
Thomas J. Osler Taylor's Series Generalized for
Fractional Derivatives and Applications 37--48
Tetsuro Yamamoto A Note on the Spectral Mapping Theorem 49--51
W. C. Queen A Generalized Weierstrass Transformation
for the Case of Several Independent
Variables . . . . . . . . . . . . . . . 52--63
G. J. Etgen and
S. C. Tefteller A Two-Point Boundary Problem for
Nonlinear Second Order Differential
Systems . . . . . . . . . . . . . . . . 64--71
B. D. Sivazlian A Class of Multiple Integrals . . . . . 72--75
F. de Kok On the Method of Stationary Phase for
Multiple Integrals . . . . . . . . . . . 76--104
N. Liron Some Infinite Sums . . . . . . . . . . . 105--112
David Colton and
Robert P. Gilbert An Integral Operator Approach to
Cauchy's Problem for $ \Delta_{p + 2}
u({\bf x}) + F({\bf x})u({\bf x}) = 0 $ 113--132
Charles E. Roberts and
Geneva G. Belford Stability and Entering of the Origin for
Real, Nonlinear, Autonomous Differential
Equations of Third Order . . . . . . . . 133--148
B. L. J. Braaksma Global Reduction of Linear Differential
Systems Involving a Small Singular
Parameter . . . . . . . . . . . . . . . 149--165
G. Robert Redinbo A Note on the Construction of
Generalized Walsh Functions . . . . . . 166--167
C. A. Deavours A Boundary Value Problem Whose Solution
Involves Equations Nonlinear in an
Eigenvalue Parameter . . . . . . . . . . 168--186
Edgar A. Cohen, Jr. Theoretical Properties of Best
Polynomial Approximation in $ W^{1, 2}[
- 1, 1] $ . . . . . . . . . . . . . . . 187--192
Alfred Carasso The Abstract Backward Beam Equation . . 193--212
Merrell L. Patrick Some Inequalities Concerning Jacobi
Polynomials . . . . . . . . . . . . . . 213--220
B. S. Lalli and
W. A. Skrapek On the Boundedness and the Stability of
Some Differential Equations of the
Fourth Order . . . . . . . . . . . . . . 221--225
Wyman Fair Noncommutative Continued Fractions . . . 226--232
H. Guggenheimer Geometric Theory of Differential
Equations. I: Second Order Linear
Equations . . . . . . . . . . . . . . . 233--241
Richard K. Miller and
Alan Feldstein Smoothness of Solutions of Volterra
Integral Equations with Weakly Singular
Kernels . . . . . . . . . . . . . . . . 242--258
R. E. O'Malley, Jr. On the Asymptotic Solution of Initial
Value Problems for Differential
Equations with Small Delay . . . . . . . 259--268
J. N. Pandey and
M. Rahman The Maximum Likelihood Estimate of the
Noncentrality Parameter of a Noncentral
$ {F} $ Variate . . . . . . . . . . . . 269--276
Friedmann W. Stallmann An Existence and Uniqueness Theorem for
Boundary Value Problems of Nonlinear
Ordinary Differential Equations . . . . 277--285
J. N. Pandey A Representation Theorem for a Class of
Convolution Transformable Generalized
Functions . . . . . . . . . . . . . . . 286--289
J. M. Cushing Uniqueness of Positive Solutions to
Nonlinear Elliptic Problems . . . . . . 290--292
A. K. Gautesen and
W. E. Olmstead On the Solution of the Integral Equation
for the Potential of Two Strips . . . . 293--306
Willard Miller, Jr. On Lie Algebras of Difference Operators
and the Special Functions of
Mathematical Physics . . . . . . . . . . 307--327
Philip W. Walker Asymptotics for a Class of Nonanalytic
Second Order Differential Equations . . 328--339
Richard Askey Orthogonal Expansions with Positive
Coefficients. II . . . . . . . . . . . . 340--346
B. C. Carlson New Proof of the Addition Theorem for
Gegenbauer Polynomials . . . . . . . . . 347--351
A. M. Chak and
A. K. Agarwal An Extension of a Class of Polynomials.
II . . . . . . . . . . . . . . . . . . . 352--355
Stig-Olof Londen On the Asymptotic Behavior of the
Solution of a Nonlinear
Integrodifferential Equation . . . . . . 356--367
Alan R. Elcrat A Constructive Existence Theorem for a
Nonlinear Elliptic Equation . . . . . . 368--374
Donald R. Smith An Asymptotic Analysis of a Certain
Hyperbolic Cauchy Problem . . . . . . . 375--392
Gilbert G. Walter Singular Points of Sturm--Liouville
Series . . . . . . . . . . . . . . . . . 393--401
Gideon Peyser Hyperbolic Equations with Multiple
Characteristics and Time Dependent
Coefficients . . . . . . . . . . . . . . 402--412
Stephen H. Saperstone On a Differential Equation for the
Eigenvectors of a Real Symmetric Matrix 413--419
B. C. Carlson Appell Functions and Multiple Averages 420--430
Peter Wolfe Distribution Derivatives of Functions
Harmonic in the Unit Disc . . . . . . . 431--434
R. K. Miller Asymptotically Almost Periodic Solutions
of a Nonlinear Volterra System . . . . . 435--444
J. Korevaar and
T. Geveci Fields Due to Electrons on an Analytic
Curve . . . . . . . . . . . . . . . . . 445--453
Richard Saylor Time Reversal in Abstract Cauchy
Problems . . . . . . . . . . . . . . . . 454--457
J. L. Sox, Jr. and
W. J. Harrington A Class of Complete Orthogonal Sequences
of Periodic Functions . . . . . . . . . 458--466
Murray S. Klamkin Extensions of Dirichlet's Multiple
Integral . . . . . . . . . . . . . . . . 467--469
John V. Baxley Extreme Eigenvalues of Toeplitz Matrices
Associated with Certain Orthogonal
Polynomials . . . . . . . . . . . . . . 470--482
M. B. Rosenzweig On Weak Solutions of a Mildly Nonlinear
Dirichlet Problem . . . . . . . . . . . 483--495
N. Liron A Recurrence Concerning Rayleigh
Functions . . . . . . . . . . . . . . . 496--499
Paul B. Bailey A Variation of Hadamard's Finite Part
Integrals . . . . . . . . . . . . . . . 500--504
Zita Poracká-Divi Existence Theorem and Convergence of
Minimizing Sequences in Extremum
Problems . . . . . . . . . . . . . . . . 505--510
H. Arthur Dekleine Bounded Solutions for a Second Order
Nonlinear Equation . . . . . . . . . . . 511--520
Geoffrey Butler and
Thomas Rogers Pointwise Bounds on Derivatives of
Solutions to Ordinary Differential
Equations . . . . . . . . . . . . . . . 521--528
Edgar A. Cohen, Jr. Trigonometric Approximation in the
Sobolev Spaces $ W^{r, 2}[ - \pi, \pi] $
with Constant Weights . . . . . . . . . 529--535
D. Willett Disconjugacy tests for singular linear
differential equations . . . . . . . . . 536--545
Laurence Weinberg The asymptotic distribution of
eigenvalues for the boundary value
problem $ y''(x) - \lambda^2 p(x) y(x) =
0, y \in L_2 ( - \infty, + \infty) $ . . 546--566
L. Pamela Cook and
G. S. S. Ludford The Behavior as $ \varepsilon \to + 0 $
of Solutions to $ \varepsilon \nabla^2 w
= {{\partial w} / {\partial y}} $ in $ |
y | \leq 1 $ for Discontinuous Boundary
Data . . . . . . . . . . . . . . . . . . 567--594
M. Lawrence Glasser The Summation of Series . . . . . . . . 595--600
Patrick C. Bowie Uncertainty Inequalities for Hankel
Transforms . . . . . . . . . . . . . . . 601--606
R. A. Hunt and
M. H. Taibleson Almost Everywhere Convergence of Fourier
Series on the Ring of Integers of a
Local Field . . . . . . . . . . . . . . 607--625
Thomas J. Osler A Further Extension of the Leibniz Rule
to Fractional Derivatives and Its
Relation to Parseval's Formula . . . . . 1--16
Norman Levinson and
Ray Redheffer Schur's Theorem for Hurwitz Polynomials 17--19
Frank Stenger Transform methods for obtaining
asymptotic expansions of definite
integrals . . . . . . . . . . . . . . . 20--30
Willard Miller, Jr. Lie Theory and Generalized
Hypergeometric Functions . . . . . . . . 31--44
B. Granoff and
N. Bleistein Asymptotic Solutions of a $6$ th Order
Differential Equation with Two Turning
Points. Part I: Derivation by Method of
Steepest Descent . . . . . . . . . . . . 45--57
T. G. Hallam and
G. Ladas and
V. Lakshmikantham On the Asymptotic Behavior of Functional
Differential Equations . . . . . . . . . 58--64
W. A. Al-Salam and
T. S. Chihara Another Characterization of the
Classical Orthogonal Polynomials . . . . 65--70
Keith B. Oldham Errata: On the Evaluation of Certain
Sums Involving the Natural Numbers
Raised to an Arbitrary Power . . . . . . 71--71
Donald S. Cohen Multiple Solutions of Singular
Perturbation Problems . . . . . . . . . 72--82
R. G. Buschman Decomposition of an Integral Operator by
Use of Mikusi ski Calculus . . . . . . . 83--85
Herbert B. Keller Existence theory for multiple solutions
of a singular perturbation problem . . . 86--92
B. Granoff Asymptotic Solutions of a $6$ th Order
Differential Equation with Two Turning
Points. Part II: Derivation by Reduction
to a First Order System . . . . . . . . 93--104
John E. Lagnese General Boundary Value Problems for
Differential Equations of Sobolev Type 105--119
Philip Hartman On the Existence of Similar Solutions of
Some Boundary Layer Problems . . . . . . 120--147
James L. Kaplan On the Asymptotic Behavior of Volterra
Integral Equations . . . . . . . . . . . 148--156
M. Wayne Wilson On a New Discrete Analogue of the
Legendre Polynomials . . . . . . . . . . 157--169
Vaclav Dolezal A Generalized Causality of Linear
Continuous Operators Defined on
Distributions . . . . . . . . . . . . . 170--174
B. L. J. Braaksma Erratum: Asymptotic Analysis of a
Differential Equation of Turrittin . . . 175--175
A. K. Aziz and
M. G. Horak Periodic Solutions of Hyperbolic Partial
Differential Equations in the Large . . 176--182
Eduard Prugove ki Riemann--Stieltjes Integration of
Operator-Valued Functions with Respect
to Vector-Valued Functions in Banach
Spaces . . . . . . . . . . . . . . . . . 183--205
Richard Bouldin The Norm Continuity Properties of Square
Roots . . . . . . . . . . . . . . . . . 206--210
J. N. Pandey The Dual Poisson--Laguerre Transform of
a Class of Generalized Functions . . . . 211--229
Yngve Domar Harmonic Analysis of a Class of
Distributions on $ \mathbb {R}^n $, $ n
\geq 2 $ . . . . . . . . . . . . . . . . 230--245
W. Kolbe and
R. J. Nessel Saturation Theory in Connection with
Mellin Transform Methods . . . . . . . . 246--262
Kenneth D. Shere Multiple Asymptotic Expansions and
Singular Problems . . . . . . . . . . . 263--271
Kenneth D. Shere On Multiple Asymptotic Expansions . . . 272--284
R. Muki Uniform Asymptotic Expansions of
Integrals of the Lipschitz--Hankel Type 285--290
A. Pazy On the Applicability of Lyapunov's
Theorem in Hilbert Space . . . . . . . . 291--294
Seymour V. Parter Remarks on Singular Perturbation of
Certain Nonlinear Two-Point Boundary
Value Problems . . . . . . . . . . . . . 295--299
A. K. Aziz and
S. L. Brodsky Periodic Solutions of a Class of Weakly
Nonlinear Hyperbolic Partial
Differential Equations . . . . . . . . . 300--313
I. I. Hirschman, Jr. Integral Equations on Certain Compact
Homogeneous Spaces . . . . . . . . . . . 314--343
J. W. Heidel and
Don B. Hinton The Existence of Oscillatory Solutions
for a Nonlinear Differential Equation 344--351
L. Carlitz Explicit Evaluation of Certain
Polynomials . . . . . . . . . . . . . . 352--357
Stephen R. Bernfeld Perturbing Uniform Ultimate Bounded
Differential Systems . . . . . . . . . . 358--370
C. V. Pao Semigroups and Asymptotic Stability of
Nonlinear Differential Equations . . . . 371--379
Stan K. Kranzler Sums of Convolution Operators . . . . . 380--388
G. E. Lippman Spherical Means of Conjugate Fourier
Integrals in $ E_2 $ at the Critical
Index . . . . . . . . . . . . . . . . . 389--400
David Colton Bergman Operators for Elliptic Equations
in Four Independent Variables . . . . . 401--412
R. P. Srivastav Dual Integral Equations with
Trigonometric Kernels and Tempered
Distributions . . . . . . . . . . . . . 413--421
Tilak Raj Prabhakar Hypergeometric Integral Equations of a
General Kind and Fractional Integration 422--425
Reuven Meidan A Proof of a Theorem by Dolezal . . . . 426--427
Richard Datko Uniform Asymptotic Stability of
Evolutionary Processes in a Banach Space 428--445
A. D. Jackson and
L. C. Maximon Integrals of Products of Bessel
Functions . . . . . . . . . . . . . . . 446--460
Chi Yeung Lo Series Expansions of Solutions of $
{U}_{xx} + {U}_{yy} + \varepsilon^2
{U}_{tt} = {U}_t $ . . . . . . . . . . . 461--473
S. B. Eliason Vertical Asymptotes and Bounds for
Certain Solutions of a Class of Second
Order Differential Equations . . . . . . 474--484
N. Bleistein and
R. A. Handelsman and
J. S. Lew Functions Whose Fourier Transforms Decay
at Infinity: An Extension of the
Riemann--Lebesgue Lemma . . . . . . . . 485--495
Seymour V. Parter Remarks on the Existence Theory for
Multiple Solutions of a Singular
Perturbation Problem . . . . . . . . . . 496--505
George H. Knightly A Cauchy Problem for the Navier--Stokes
Equations in $ {R}^n $ . . . . . . . . . 506--511
G. J. Etgen and
S. C. Tefteller Second order differential equations with
general boundary conditions . . . . . . 512--519
K. W. Chang Singular perturbations of a general
boundary value problem . . . . . . . . . 520--526
R. E. Showalter Existence and Representation Theorems
for a Semilinear Sobolev Equation in
Banach Space . . . . . . . . . . . . . . 527--543
Alan R. Elcrat An inequality Related to Poisson's
Equation . . . . . . . . . . . . . . . . 544--545
S. P. Pethe and
A. Sharma Modified Abel Expansion and a Subclass
of Completely Convex Functions . . . . . 546--558
D. Willett Errata: Disconjugacy Tests for Singular
Linear Differential Equations . . . . . 559--559
G. Z. Forristall and
J. D. Ingram Evaluation of Distributions Useful in
Kontorovich--Lebedev Transform Theory 561--566
T. A. Bronikowski and
J. E. Hall and
J. A. Nohel Quantitative Estimates for a Nonlinear
System of Integrodifferential Equations
Arising in Reactor Dynamics . . . . . . 567--588
James D. Baker Boundedness Properties of Stationary
Linear Operators . . . . . . . . . . . . 589--594
Charles Swartz Continuous Linear Functionals on Certain
$ K \{ M_p \} $ Spaces . . . . . . . . . 595--598
M. S. Keener On Oscillatory Solutions of Certain
Fourth Order Linear Differential
Equations . . . . . . . . . . . . . . . 599--605
David Slepian On the Symmetrized Kronecker Power of a
Matrix and Extensions of Mehler's
Formula for Hermite Polynomials . . . . 606--616
David W. Fox Lower Bounds for Eigenvalues with
Displacement of Essential Spectra . . . 617--624
John Lagnese Exponential Stability of Solutions of
Differential Equations of Sobolev Type 625--636
Arun Verma Characterizations of $ \sigma $-Type
Zero Polynomial Sets . . . . . . . . . . 637--641
Joseph B. Kadane A Concave Property of the Hypergeometric
Function with Respect to a Parameter . . 642--643
R. S. Bucy and
J. Rodriguez-Canabal A Negative Definite Equilibrium and Its
Induced Cone of Global Existence for the
Riccati Equation . . . . . . . . . . . . 644--646
Noal C. Harbertson Perturbations in Nonlinear Systems . . . 647--653
Stephen R. Bernfeld and
James A. Yorke The Behavior of Oscillatory Solutions of
$ x''(t) + p(t)g(x(t)) = 0 $ . . . . . . 654--667
W. J. Harrington and
K. A. Patel Naylor Transforms of Mellin Type . . . . 1--7
Catherine Bandle The Rayleigh--Faber--Krahn Theorem for
the Characteristic Values Associated
with a Class of Nonlinear Boundary Value
Problems . . . . . . . . . . . . . . . . 8--14
Joan Rohrer Hundhausen A Generating Operator for Solutions of
Certain Partial Difference and
Differential Equations . . . . . . . . . 15--21
Kenneth B. Hannsgen A Volterra Equation with Parameter . . . 22--30
D. W. Bresters On the Equation of
Euler--Poisson--Darboux . . . . . . . . 31--41
David Colton Improperly Posed Initial Value Problems
for Self-Adjoint Hyperbolic and Elliptic
Equations . . . . . . . . . . . . . . . 42--51
G. J. Etgen and
N. C. Wong Cyclicly Related Differential Systems 52--61
J. Ernest Wilkins, Jr. The Eigenvalues of the Bethe
Differential System . . . . . . . . . . 62--77
Wolfgang Wasow Adiabatic Invariance of a Simple
Oscillator . . . . . . . . . . . . . . . 78--88
Anthony Wing-Kwok Leung Connection Formulas for Asymptotic
Solutions of Second Order Turning Points
in Unbounded Domains . . . . . . . . . . 89--103
Howard Chitwood Generalized Green's Matrices for Linear
Differential Systems . . . . . . . . . . 104--110
William F. Trench Nonnegative and Alternating Expansions
of One Set of Orthogonal Polynomials in
Terms of Another . . . . . . . . . . . . 111--115
S. E. Shamma and
S. N. Karp Asymptotic Eigenfunctions of a Singular
Integro-Differential Equation . . . . . 116--127
B. Davies Complex Zeros of Linear Combinations of
Spherical Bessel Functions and Their
Derivatives . . . . . . . . . . . . . . 128--133
Herbert B. Keller Stability Theory for Multiple
Equilibrium States of a Nonlinear
Diffusion Process: A Singularly
Perturbed Eigenvalue Problem . . . . . . 134--140
J. R. Cannon and
Mario Primicerio A Stefan Problem Involving the
Appearance of a Phase . . . . . . . . . 141--148
B. J. King and
A. L. Buren A General Addition Theorem for
Spheroidal Wave Functions . . . . . . . 149--160
L. Pamela Cook and
G. S. S. Ludford The Behavior as $ \varepsilon \to 0^+ $
of Solutions to $ \varepsilon \nabla^2 w
= ({\partial / {\partial y}})w $ on the
Rectangle $ 0 \leq x \leq l $,$ | y |
\leq 1 $ . . . . . . . . . . . . . . . . 161--184
William T. Reid Boundary Problems of Sturmian Type on an
Infinite Interval . . . . . . . . . . . 185--197
Richard D. Carmichael Generalized Cauchy and Poisson Integrals
and Distributional Boundary Values . . . 198--219
G. Gregory Stephen On Wiener--Hopf Operators Associated
with the Hankel Transform . . . . . . . 221--237
William L. Perry Finite Mellin Convolution Equations . . 238--244
Thomas Costello Generic Properties of Differential
Equations . . . . . . . . . . . . . . . 245--249
Howard A. Levine On the Uniquenes of Bounded Solutions to
$ u'(t) = {A}(t)u(t) $ and $ u''(t) =
{A}(t)u(t) $ in Hilbert Space . . . . . 250--259
D. T. Piele Asymptotically Neutral Families in $
{E}^3 $ . . . . . . . . . . . . . . . . 260--268
C. M. Petty and
W. E. Johnson Properties of Solutions of $ u'' +
c(t)f(u)h(u') = 0 $ with Explicit
Initial Conditions . . . . . . . . . . . 269--282
George C. Hsiao Singular Perturbations for a Nonlinear
Differential Equation with a Small
Parameter . . . . . . . . . . . . . . . 283--301
K. Soni and
R. P. Soni Lipschitz Behavior and Characteristic
Functions . . . . . . . . . . . . . . . 302--308
A. S. Farooqui A Complete Set of Orthonormal Harmonic
Functions . . . . . . . . . . . . . . . 309--313
Willard Miller, Jr. Symmetries of Differential Equations.
The Hypergeometric and Euler--Darboux
Equations . . . . . . . . . . . . . . . 314--328
Victor L. Shapiro Capacity and the Nonlinear
Navier--Stokes Equations . . . . . . . . 329--343
L. E. Adelson Singular Perturbation of an Improperly
Posed Problem . . . . . . . . . . . . . 344--366
Susan Schindler Explicit Integral Transform Proofs of
Some Transplantation Theorems for the
Hankel Transform . . . . . . . . . . . . 367--384
Lee Lorch and
M. E. Muldoon and
Peter Szego Some Monotonicity Properties of Bessel
Functions . . . . . . . . . . . . . . . 385--392
D. M. Rognlie and
B. C. Carlson Averaged Integral Transforms . . . . . . 393--407
Richard Escobedo Spherical Convergence and Certain
Singular Integrals . . . . . . . . . . . 409--416
John V. Erhart Lyapunov Theory and Perturbations of
Differential Equations . . . . . . . . . 417--432
L. Carlitz Some $q$-Analogues of Certain
Combinatorial Numbers . . . . . . . . . 433--446
Philip W. Schaefer Improvable Estimates in Some
Non-Well-Posed Problems for a System of
Elliptic Equations . . . . . . . . . . . 447--455
Thomas J. Osler A Correction to Leibniz Rule for
Fractional Derivatives . . . . . . . . . 456--459
Stig-Olof Londen Some Nonoscillation Theorems for a
Second Order Nonlinear Differential
Equation . . . . . . . . . . . . . . . . 460--465
K. Soni and
R. P. Soni Asymptotic Behavior of a Class of
Integral Transforms . . . . . . . . . . 466--481
Jerry L. Fields Uniform asymptotic expansions of certain
classes of Meijer $G$-functions for a
large parameter . . . . . . . . . . . . 482--507
George Gasper On Two Conjectures of Askey Concerning
Normalized Hankel Determinants for the
Classical Polynomials . . . . . . . . . 508--513
Michael H. Moore An Inner product Inequality . . . . . . 514--518
R. A. Handelsman and
N. Bleistein Asymptotic Expansions of Integral
Transforms with Oscillatory Kernels: A
Generalization of the Method of
Stationary Phase . . . . . . . . . . . . 519--535
Frank Stenger The approximate solution of
convolution-type integral equations . . 536--555
Robert W. Gunderson A result on differential inequalities
and its application to higher order
trajectory derivatives . . . . . . . . . 557--560
Frank de Hoog and
Richard Weiss On the Solution of a Volterra Integral
Equation with a Weakly Singular Kernel 561--573
C. K. Yuen Analysis of Walsh Transforms Using
Integration by Parts . . . . . . . . . . 574--584
R. P. Boas, Jr. and
M. B. Marcus Inequalities Involving a Function and
Its Inverse . . . . . . . . . . . . . . 585--591
Alan Schumitzky and
Tom Wenska Imbedding a Class of Linear Integral
Equations Through the First Critical
Point . . . . . . . . . . . . . . . . . 592--608
G. R. Bart and
R. L. Warnock Linear Integral Equations of the Third
Kind . . . . . . . . . . . . . . . . . . 609--622
John Lagnese Singular Differential Equations in
Hilbert Space . . . . . . . . . . . . . 623--637
Willard Miller, Jr. Lie Theory and the Appell Functions $
{F}_1 $ . . . . . . . . . . . . . . . . 638--655
Marion Orton Hilbert Transforms, Plemelj Relations,
and Fourier Transforms of Distributions 656--670
Byron L. Ehle $ {A}$-Stable Methods and Padé
Approximations to the Exponential . . . 671--680
G. E. Lippman Spherical Summability of Conjugate
Multiple Fourier Series and Integrals at
the Critical Index . . . . . . . . . . . 681--695
David Elliott and
P. D. Tuan Asymptotic Estimates of Fourier
Coefficients . . . . . . . . . . . . . . 1--10
John W. Schleusner A Note on Biorthogonal Polynomials in
Two Variables . . . . . . . . . . . . . 11--18
F. W. J. Olver Error Bounds for Stationary Phase
Approximations . . . . . . . . . . . . . 19--29
G. J. Olsder On the Existence of Analytic Solutions
of Systems of Equations if the Jacobian
is Zero . . . . . . . . . . . . . . . . 30--42
G. G. Bilodeau On Generalized Heat Polynomials . . . . 43--50
Charles F. Dunkl An expansion in ultraspherical
polynomials with nonnegative
coefficients . . . . . . . . . . . . . . 51--52
Richard Askey Certain Rational Functions Whose Power
Series Have Positive Coefficients. II 53--57
Richard Askey and
Harry Pollard Some Absolutely Monotonic and Completely
Monotonic Functions . . . . . . . . . . 58--63
Anthony V. Laginestra and
William E. Boyce Convergence and Evaluation of Sums of
Reciprocal Powers of Eigenvalues of
Boundary Value Problems Nonlinear in the
Eigenvalue Parameter . . . . . . . . . . 64--90
C. V. Pao Successive Approximations of Some
Nonlinear Initial-Boundary Value
Problems . . . . . . . . . . . . . . . . 91--102
David W. Bange A Constructive Existence Theorem for a
Nonlinear Parabolic Equation . . . . . . 103--110
N. S. Hall and
D. W. Quinn and
R. J. Weinacht Poisson Integral Formulas in Generalized
Bi-Axially Symmetric Potential Theory 111--118
Richard Askey Jacobi Polynomials, I. New Proofs of
Koornwinder's Laplace Type Integral
Representation and Bateman's Bilinear
Sum . . . . . . . . . . . . . . . . . . 119--124
Tom Koornwinder Jacobi Polynomials, II. An Analytic
Proof of the Product Formula . . . . . . 125--137
Howard A. Levine Some Additional Remarks on the
Nonexistence of Global Solutions to
Nonlinear Wave Equations . . . . . . . . 138--146
R. J. Weinacht Some Properties of Generalized Biaxially
Symmetric Helmholtz Potentials . . . . . 147--152
James Tippett An Existence-Uniqueness Theorem for
Two-Point Boundary Value Problems . . . 153--157
A. Erdélyi Asymptotic Evaluation of Integrals
Involving a Fractional Derivative . . . 159--171
Philip Hartman On Two-Point Boundary Value Problems for
Nonlinear Second Order Systems . . . . . 172--177
J. J. Koliha The Solution of Linear Equations in
Normed Spaces by Averaging Iteration . . 178--186
Anthony Leung Doubly Asymptotic Series for $n$ th
Order Differential Equations in
Unbounded Domains . . . . . . . . . . . 187--201
Mourad El-Houssieny Ismail On Obtaining Generating Functions of
Boas and Buck Type for Orthogonal
Polynomials . . . . . . . . . . . . . . 202--208
Ching-Ling Yu Integral Representation, Analytic
Continuation and the Reflection
Principle under the Complementing
Boundary Condition for Higher Order
Elliptic Equations in the Plane . . . . 209--223
Shui-Nee Chow and
D. R. Dunninger Local Uniqueness Theorems for a Class of
Higher Order Elliptic Equations . . . . 224--229
Heinz Otto Kreiss and
Seymour V. Parter Remarks on Singular Perturbations with
Turning Points . . . . . . . . . . . . . 230--251
B. C. Carlson Analytic Continuation of the Euler
Transform . . . . . . . . . . . . . . . 252--255
J. Bustoz and
C. W. Groetsch On Generalized Bernstein Polynomials . . 256--262
David Colton The Noncharacteristic Cauchy Problem for
Parabolic Equations in One Space
Variable . . . . . . . . . . . . . . . . 263--272
G. S. Jordan and
Robert L. Wheeler On the Asymptotic Behavior of Perturbed
Volterra Integral Equations . . . . . . 273--277
Walter Gautschi A Harmonic Mean Inequality for the Gamma
Function . . . . . . . . . . . . . . . . 278--281
Walter Gautschi Some Mean Value Inequalities for the
Gamma Function . . . . . . . . . . . . . 282--292
Richard Kraft Uniqueness and Existence for the
Integral Equation of Interreflections 293--302
Elliot Winston Asymptotic Stability for Ordinary
Differential Equations with Delayed
Perturbations . . . . . . . . . . . . . 303--308
Willard Miller, Jr. Lie Theory and Meijers's $ {G}$-Function 309--318
Hughes Edward On a Quadratic Eigenvalue Problem . . . 319--326
L. R. Bragg Linear Evolution Equations that Involve
Products of Commutative Operators . . . 327--335
Will Y. K. Lee On Spaces of Type $ H_\mu $ and Their
Hankel Transformations . . . . . . . . . 336--348
J. A. Nohel Addendum: Quantitative Estimates for a
Nonlinear System of Integrodifferential
Equations Arising in Reactor Dynamics 349--349
Charles F. Dunkl and
Donald E. Ramirez Krawtchouk Polynomials and the
Symmetrization of Hypergroups . . . . . 351--366
Abraham Ungar An Operator Related to the Inverse
Laplace Transform . . . . . . . . . . . 367--375
T. N. E. Greville On a Problem of E. L. De Forest in
Iterated Smoothing . . . . . . . . . . . 376--398
A. M. Fink Conjugate Inequalities for Functions and
Their Derivatives . . . . . . . . . . . 399--411
Kenneth B. Hannsgen A Volterra Equation in Hilbert Space . . 412--416
L. E. Adelson Singular Perturbation of an Improperly
Posed Cauchy Problem . . . . . . . . . . 417--424
Richard A. Handelsman and
John S. Lew Asymptotic Expansion of Laplace
Convolutions for Large Argument and Tail
Densities for Certain Sums of Random
Variables . . . . . . . . . . . . . . . 425--451
R. Bojanic and
Y. H. Lee An Estimate for the Rate of Convergence
of Convolution Products of Sequences . . 452--462
Chen-Kuang Ho A Uniqueness Theorem for Convolution
Equations in $ {L}^p ({R}^n) $ Spaces 463--468
John S. Lew Functions Whose Fourier Transforms Decay
at Infinity: Qualitative Criteria for an
Additional Case . . . . . . . . . . . . 469--472
G. A. Bogar Oscillations of $n$-th order
differential equations with retarded
argument . . . . . . . . . . . . . . . . 473--481
Kenneth L. Cooke A Linear Hyperbolic Problem All of Whose
Solutions are Constant after Finite Time 482--488
Robert B. Kelman and
Robert P. Feinerman Dual Orthogonal Series . . . . . . . . . 489--502
James H. Justice The Szeg\Ho Recursion Relation and
Inverses of Positive Definite Toeplitz
Matrices . . . . . . . . . . . . . . . . 503--508
Jet Wimp Equiconvergence Theorems for Series
Whose Terms Satisfy a Difference
Equation . . . . . . . . . . . . . . . . 509--516
Charles G. Lange Asymptotic Analysis of Nonlinear
Diffusion and Related Multidimensional
Integrals . . . . . . . . . . . . . . . 517--550
Chih-Bing Ling On Summation of Series of Hyperbolic
Functions . . . . . . . . . . . . . . . 551--562
D. T. Piele An Approximation of Harmonic Functions
in $ {E}^3 $ by Potentials of Unit
Charges . . . . . . . . . . . . . . . . 563--568
John R. Haddock On the Asymptotic Behavior of Solutions
of $ x'(t) = - a(t) f(x(t - r(t))) $ . . 569--573
I. M. Longman Best Rational Function Approximation for
Laplace Transform Inversion . . . . . . 574--580
V. G. Sigillito Exponential Decay of Functionals of
Solutions of a Pseudoparabolic Equation 581--585
B. C. Carlson Inequalities for Jacobi Polynomials and
Dirichlet Averages . . . . . . . . . . . 586--596
M. S. Mock An Initial Value Problem from
Semiconductor Device Theory . . . . . . 597--612
F. W. Kollett Two-Timing Methods Valid on Expanding
Intervals . . . . . . . . . . . . . . . 613--625
Willard Miller, Jr. Lie Theory and Separation of Variables.
I: Parabolic Cylinder Coordinates . . . 626--643
Howard A. Levine A Note on a Nonexistence Theorem for
Nonlinear Wave Equations . . . . . . . . 644--648
Donald G. Saari An Elementary Tauberian Theorem for
Absolutely Continuous Functions and for
Series . . . . . . . . . . . . . . . . . 649--662
Alan R. Elcrat Constructive Existence for Semilinear
Elliptic Equations with Discontinuous
Coefficients . . . . . . . . . . . . . . 663--672
Wolfgang Wasow Calculation of an Adiabatic Invariant by
Turning Point Theory . . . . . . . . . . 673--700
J. S. Muldowney and
D. Willett An Elementary Proof of the Existence of
Solutions to Second Order Nonlinear
Boundary Value Problems . . . . . . . . 701--707
H. D. Meyer A Representation for a Distributional
Solution of the Heat Equation . . . . . 708--722
Chin-Hung Ching The reduced wave equation with a
different radiation condition . . . . . 723--728
Kendall E. Atkinson An Existence Theorem for Abel Integral
Equations . . . . . . . . . . . . . . . 729--736
Richard D. Carmichael Analytic Representation of the
Distributional Finite Fourier Transform 737--761
Eli Passow Extended Chebyshev Systems on $ ( -
\infty, \infty) $ . . . . . . . . . . . 762--763
William L. Perry Inversion of General Integral Transforms 764--773
R. A. Sack Generating Functions for Spherical
Harmonics Part I: Three-Dimensional
Harmonics . . . . . . . . . . . . . . . 774--796
B. C. Carlson Expansion of Analytic Functions in
Jacobi Series . . . . . . . . . . . . . 797--808
J. R. Ridenhour and
R. P. Soni Parseval Relation and Tauberian Theorems
for the Hankel Transform . . . . . . . . 809--821
Willard Miller, Jr. Lie Theory and Separation of Variables.
II: Parabolic Coordinates . . . . . . . 822--836
Jerome A. Goldstein and
Arthur Lubin On Bounded Solutions of Nonlinear
Differential Equations in Hilbert Space 837--840
David E. Tepper Free Boundary Problem . . . . . . . . . 841--846
L. E. Payne Erratum: Some Isoperimetric Inequalities
for Harmonic Functions . . . . . . . . . 847--847
Stig-Olof Londen On the Asymptotic Behavior of the
Bounded Solutions of a Nonlinear
Volterra Equation . . . . . . . . . . . 849--875
N. M. Temme Analytical Methods for a Singular
Perturbation Problem in a Sector . . . . 876--887
A. Dijksma and
H. S. V. de Snoo Distributional Watson Transforms . . . . 888--892
Kiyoshi Kuga Brouwer's Fixed-Point Theorem: An
Alternative Proof . . . . . . . . . . . 893--897
David W. Zachmann Branching Solutions of Equations
Containing Several Parameters . . . . . 898--907
R. K. S. Rathore On a Sequence of Linear Trigonometric
Polynomial Operators . . . . . . . . . . 908--917
L. Billard and
Norman C. Severo Solution of a Class of Partial
Differential Equations with Initial
Conditions . . . . . . . . . . . . . . . 918--919
Abraham Ungar A Differential Transform . . . . . . . . 920--926
Kenneth B. Hannsgen A Linear Volterra Equation in Hilbert
Space . . . . . . . . . . . . . . . . . 927--940
Chin'Hung Ching On Averages of a Function and Its
Application to Boundary Value Problems
with Insufficient Data . . . . . . . . . 941--947
Marvin Shinbrot The Energy Equation for the
Navier--Stokes System . . . . . . . . . 948--954
Lennart Brynielsson On Fredholm Integral Equations of the
First Kind with Convex Constraints . . . 955--962
F. T. Howard Properties of Liron's Polynomials . . . 963--973
M. Z. Nashed and
Grace Wahba Generalized Inverses in Reproducing
Kernel Spaces: An Approach to
Regularization of Linear Operator
Equations . . . . . . . . . . . . . . . 974--987
G. J. Etgen and
C. D. Shih Conditions for the Nonoscillation of
Third Order Differential Equations with
Nonnegative Coefficients . . . . . . . . 1--8
William B. Jones and
W. J. Thron On Convergence of Padé Approximants . . . 9--16
Eutiquio C. Young A Mixed Problem for the
Euler--Poisson--Darboux Equation in Two
Space Variables . . . . . . . . . . . . 17--24
R. E. Showalter Nonlinear Degenerate Evolution Equations
and Partial Differential Equations of
Mixed Type . . . . . . . . . . . . . . . 25--42
J. R. Weiss and
E. Y. Yu An Investigation of Stability of Motion
Under Constantly Acting Disturbances . . 43--48
Douglas B. Price On the Laplace Transform for
Distributions . . . . . . . . . . . . . 49--80
M. S. A-Hameed and
F. Proschan Total Positivity Properties of
Generating Functions . . . . . . . . . . 81--84
Wolfgang Walter On Existence and Nonexistence in the
Large of Solutions of Parabolic
Differential Equations with a Nonlinear
Boundary Condition . . . . . . . . . . . 85--90
Jack W. Macki and
Paul Waltman A Boundary Value Problem for a
Two-Dimensional System with a Parameter 91--95
H. A. Lauwerier A Note on the van Wijngaarden
Transformation . . . . . . . . . . . . . 96--104
Edgar A. Cohen, Jr. Zero Distribution and Behavior of
Orthogonal Polynomials in the Sobolev
Space $ {W}^{1, 2} [ - 1, 1] $ . . . . . 105--116
Chih-Bing Ling On a Class of Weierstrass Elliptic
Functions at Half and Quarter Periods 117--128
Chih-Bing Ling On Summation of Series of Hyperbolic
Functions. II . . . . . . . . . . . . . 129--139
S. R. Bernfeld and
T. G. Hallam and
V. Lakshmikantham Asymptotic Equivalence of Nonlinear
Differential Equations in Banach Spaces 140--145
Catherine Bandle Bounds for the Solutions of Poisson
Problems and Applications to Nonlinear
Eigenvalue Problems . . . . . . . . . . 146--152
T. A. Bronikowski Dependence of a Nonlinear
Integrodifferential System on Parameters 153--167
Theodore Laetsch Asymptotic Branch Points and Multiple
Positive Solutions of Nonlinear Integral
Equations . . . . . . . . . . . . . . . 168--177
Theodore Laetsch Asymptotic Branch Points and Multiple
Positive Solutions of Nonlinear Integral
Equations . . . . . . . . . . . . . . . 178--191
A. J. Goldstein and
A. D. Hall Solutions to a Problem in Power Series
Reversion . . . . . . . . . . . . . . . 192--198
D. Naylor and
D. W. Barclay On an Expansion Problem Occurring in the
Theory of Diffraction . . . . . . . . . 199--207
E. H. de Groot and
E. M. de Jager On the Solution of an Integral Equation
of Convolution Type . . . . . . . . . . 208--227
Alan Schumitzky and
Tom Wenska An Operator Residue Theorem with
Applications to Branching Processes and
Renewal Type Integral Equations . . . . 229--235
Stephen Bancroft and
Thomas G. Hallam Bounded Solutions of Nonlinear
Differential Equations with Parameters 236--241
E. G. Grassmann and
J. Rokne An Explicit Calculation of Some Sets of
Minimal Capacity . . . . . . . . . . . . 242--249
M. Bertran Note on Orthogonal Polynomials in
$v$-Variables . . . . . . . . . . . . . 250--257
O. F. Hughes A Simplification of the
Schwarz--Christoffel Formula for
Symmetric Quadrilateral Transformation 258--261
Abdul J. Jerri and
Dale W. Kreisler Sampling Expansions with Derivatives for
Finite Hankel and Other Transforms . . . 262--267
James L. Kaplan and
James A. Yorke On the Stability of a Periodic Solution
of a Differential Delay Equation . . . . 268--282
Richard E. Ewing The Approximation of Certain Parabolic
Equations Backward in Time by Sobolev
Equations . . . . . . . . . . . . . . . 283--294
Vasilach Serge Algebraic Method for Solving Linear
Differential Equations Whose
Coefficients are Functions of One
Variable . . . . . . . . . . . . . . . . 295--311
Fred Brauer On a Nonlinear Integral Equation for
Population Growth Problems . . . . . . . 312--317
J. Gillis Integrals of Products of Laguerre
Polynomials . . . . . . . . . . . . . . 318--339
E. Kalnins On the Separation of Variables for the
Laplace Equation $ {\Delta } \psi +
{K}^2 \psi = 0 $ in Two- and
Three-Dimensional Minkowski Space . . . 340--374
Gregers L. Krabbe The Periodic Part of the Response to a
Periodic Excitation . . . . . . . . . . 375--403
William T. Reid Variational Methods and Quadratic
Functional Inequalities . . . . . . . . 404--416
H. L. Johnson An Integral Equation Formulation of a
Mixed Boundary Value Problem on a Sphere 417--426
Will Y. Lee On Schwartz's Hankel Transformation of
Certain Spaces of Distributions . . . . 427--432
J. M. Cushing An Operator Equation and Bounded
Solutions of Integro-Differential
Systems . . . . . . . . . . . . . . . . 433--445
Zvi Artstein Continuous dependence of solutions of
Volterra integral equations . . . . . . 446--456
R. P. Boas, Jr. and
C. O. Imoru Elementary Convolution Inequalities . . 457--471
J. Bustoz and
C. W. Groetsch Uniform Approximation operators
Generated by a Power Series Identity . . 472--479
Norman Bleistein and
Richard A. Handelsman Multidimensional Stationary Phase an
Alternative Derivation . . . . . . . . . 480--487
A. McD. Mercer The Characterization of the Cylinder
Functions by a Functional Equation . . . 488--495
Alan R. Elcrat Some Identities Concerning the Laplacian
of a Function Satisfying Mixed Boundary
Conditions . . . . . . . . . . . . . . . 496--502
David E. Tepper On a Free Boundary Problem, the Starlike
Case . . . . . . . . . . . . . . . . . . 503--505
R. K. Miller and
J. A. Nohel A Stable Manifold Theorem for a System
of Volterra Integro-Differential
Equations . . . . . . . . . . . . . . . 506--522
Min Ming Tang and
Paul C. Fife Asymptotic Expansions of Solutions of
Quasi-Linear Elliptic Equations with
Small Parameter . . . . . . . . . . . . 523--532
Tom Koornwinder Jacobi Polynomials, III. An Analytic
Proof of the Addition Formula . . . . . 533--543
Robert Horton Jacobi Polynomials. IV: A Family of
Variation Diminishing Kernel . . . . . . 544--550
Jerry L. Fields and
Mourad El-Houssieny Ismail On the Positivity of some ${}_1 F_2$'s 551--559
S. M. Shih and
M. C. Shen Uniform Asymptotic Approximation for
Viscous Fluid Flow Down an Inclined
Plane . . . . . . . . . . . . . . . . . 560--582
Adam C. McBride A Theory of Fractional Integration for
Generalized Functions . . . . . . . . . 583--599
Anthony Leung Errata: Connection Formulas for
Asymptotic Solutions of Second order
Turning Points in Unbounded Domains . . 600--600
Donald R. Smith A Nonlinear Bboundary Value Problem on
an Unbounded Interval . . . . . . . . . 601--615
John Lagnese Perturbations in a Class of Nonlinear
Abstract Equations . . . . . . . . . . . 616--627
J. R. Walton A Distributional Approach to Dual
Integral Equations of Titchmarsh Type 628--643
F. A. Howes Singularly Perturbed Nonlinear Boundary
Value Problems with Turning Points . . . 644--660
Joshua Yarmish Newton's Method Techniques for Singular
Perturbations . . . . . . . . . . . . . 661--680
Dale H. Mugler Completely Convex and Positive Harmonic
Functions . . . . . . . . . . . . . . . 681--688
Kenneth B. Hannsgen Uniform Boundedness in a Class of
Volterra Equations . . . . . . . . . . . 689--697
Hans P. Heinig Some Extensions of Hardy's Inequality 698--713
Chull Park An Extension of Parseval's Equation . . 714--723
S. T. Peng and
A. Hessel Convergence of Noncommutative Continued
Fractions . . . . . . . . . . . . . . . 724--727
Viorel Barbu Nonlinear Volterra Equations in a
Hilbert Space . . . . . . . . . . . . . 728--741
William Brunner Miller Separation Theorems for Self-Adjoint
Linear Differential Equations of the
Fourth Order . . . . . . . . . . . . . . 742--759
T. C. Benton Concerning $ \int_0^\infty e^{-a t}
J_\mu (b t)J_\nu (c t)t^{\mu - \nu } \,
d t $ . . . . . . . . . . . . . . . . . 761--765
Neil Berger and
Richard Handelsman Asymptotic Evaluation of Fractional
Integral Operators with Applications . . 766--773
R. L. van de Wetering Variation Diminishing Fourier--Jacobi
Transforms . . . . . . . . . . . . . . . 774--783
Bhagat Singh Asymptotic Nature of Nonoscillatory
Solutions of $n$ th Order Retarded
Differential Equations . . . . . . . . . 784--795
Michael Stecher Integral Operators and the
Noncharacteristic Cauchy Problem for
Parabolic Equations . . . . . . . . . . 796--811
J. D. Buckholtz and
J. K. Shaw Generalized Completely Convex Functions
and Sturm--Liouville Operators . . . . . 812--828
Yudell L. Luke On the Error in the Padé Approximants for
a Form of the Incomplete Gamma Function
Including the Exponential Function . . . 829--839
Stephen D. Fisher Duality Methods for Linear Variational
Problems in $ L^\infty $ . . . . . . . . 840--845
Howard A. Levine and
Amy C. Murray Asymptotic Behavior and Lower Bounds for
Semilinear Wave Equations in Hilbert
Space with Applications . . . . . . . . 846--859
Paul Gordon Summability Methods Obtained by
Substitution of Power Series . . . . . . 860--867
George Gasper Positive Integrals of Bessel Functions 868--881
R. C. Brown Duality Theory for $n$ th Order
Differential Operators under Stieltjes
Boundary Conditions . . . . . . . . . . 882--900
L. Carlitz Note on a Binomial Identity . . . . . . 901--905
James D'Archangelo An Integral Representation for the
Solution $ {W}_{km} $ of Whittaker's
Differential Equation . . . . . . . . . 907--912
George H. Knightly and
D. Sather Nonlinear Axisymmetric Buckled States of
Shallow Spherical Caps . . . . . . . . . 913--924
Gideon Peyser Stability of symmetric hyperbolic
systems with nonlinear feedback . . . . 925--936
David Colton Complete Families of Solutions for
Parabolic Equations with Analytic
Coefficients . . . . . . . . . . . . . . 937--947
George M. Muller A Set of Rational Functions Related to
the Euler--Fobenius Polynomials . . . . 948--959
B. C. Carlson Appell's Function $ {F}_4 $ as a Double
Average . . . . . . . . . . . . . . . . 960--965
Bruce C. Berndt The Evaluation of Certain Classes of
Nonabsolutely Convergent Double Series 966--977
V. R. Gopala Rao On the Behavior of Principal Fundamental
Solutions of Elliptic Equations . . . . 978--988
Robert P. Feinerman and
Donald J. Newman Dual Trigonometric Series --- a Related
Problem . . . . . . . . . . . . . . . . 989--997
James M. Sloss A New Integral Equation for Certain
Plane Dirichlet Problems . . . . . . . . 998--1006
Noam Gordon Matched Asymptotic Expansion Solutions
of Nonlinear Partial Differential
Equations with a Small Parameter . . . . 1007--1016
George E. Mitchell Self-Adjoint Differential Expressions in
Two Variables . . . . . . . . . . . . . 1017--1020
A. McD. Mercer Grünbaum's Inequality for Bessel
Functions and Its Extensions . . . . . . 1021--1023
I. I. Hirschman, Jr. On the Eigenvalues of Certain integral
Operators . . . . . . . . . . . . . . . 1024--1050
L. R. Bragg The Riemann--Liouville Integral and
Parameter Shifting in a Class of Linear
Abstract Cauchy Problems . . . . . . . . 1--12
Gary D. Jones Oscillation Criteria for Third Order
Differential Equations . . . . . . . . . 13--15
W. A. Al-Salam and
T. S. Chihara Convolutions of Orthonormal Polynomials 16--28
Daniel P. Maki On Birth-Death Processes with Rational
Growth Rates . . . . . . . . . . . . . . 29--36
Bhagat Singh Asymptotically Vanishing Oscillatory
Trajectories in Second Order Retarded
Equations . . . . . . . . . . . . . . . 37--44
Kenneth B. Hannsgen Continuous Parameter Dependence in a
Class of Volterra Equations . . . . . . 45--58
S. R. Schach New Identities for Legendre Associated
Functions of Integral Order and Degree.
I . . . . . . . . . . . . . . . . . . . 59--69
Richard Haberman Nonlinear Perturbations of the
Orr--Sommerfeld Equation --- Asymptotic
Expansion of the Logarithmic Phase Shift
Across the Critical Layer . . . . . . . 70--81
Mourad E. H. Ismail and
Douglas H. Kelker The Bessel Polynomials and the Student
$t$ Distribution . . . . . . . . . . . . 82--91
M. Rahman Construction of a Family of Positive
Kernels from Jacobi Polynomials . . . . 92--116
Vasant A. Ubhaya Moduli of Monotonicity with Applications
to Monotone Polynomial Approximation . . 117--130
R. F. Millar Singularities of Solutions to Exterior
Analytic Boundary Value Problems for the
Helmholtz Equation in Three Independent
Variables. I: The Plane Boundary . . . . 131--156
Friedrich Naundorf A Connection Problem for Second Order
Linear Differential Equations with Two
Irregular Singular Points . . . . . . . 157--175
E. N. Chukwu On the Boundedness and Stability of
Solutions of Some Differential Equations
of the Fifth Order . . . . . . . . . . . 176--194
Alfred Carasso Error Bounds in the Final Value Problem
for the Heat Equation . . . . . . . . . 195--199
S. J. Poreda A Generalization of the
Carathéodory--Fejér Problem . . . . . . . 200--212
William F. Trench Asymptotic Integration of Linear
Differential Equations Subject to
Integral Smallness Conditions Involving
Ordinary Convergence . . . . . . . . . . 213--221
Vincent G. Sigillito A Priori Inequalities and the Direchlet
Problem for a Pseudo-Parabolic Equation 222--229
Charles P. Boyer Lie Theory and Separation of Variables
for the Equation $ i U_t + \Delta_2 U -
\left (\frac {\alpha }{x_1^2} + \frac
{\beta }{x_2^2} \right) U = 0 $ . . . . 230--263
Gladys Hayes Crates and
John W. Jayne Inclusion Theorems for the Zeros of
Certain Recursively Generated
Polynomials . . . . . . . . . . . . . . 264--270
A. McD. Mercer The Characterization of Solutions of $
\nabla^2 \phi + \lambda^2 \phi = 0 $ by
a Functional Equation . . . . . . . . . 271--275
Jerome A. Goldstein and
Charles J. Monlezun Temporally Inhomogeneous Scattering
Theory. II: Approximation Theory and
Second Order Equations . . . . . . . . . 276--290
B. C. Carlson Quadratic Transformations of Appell
Functions . . . . . . . . . . . . . . . 291--304
Murray S. Klamkin and
James L. Reid Nonlinear Differential Equations
Equivalent to Solvable Nonlinear
Equations . . . . . . . . . . . . . . . 305--310
J. K. Shaw Series Expansions and Linear
Differential Operators . . . . . . . . . 311--331
George E. Andrews On $q$-Analogues of the Watson and
Whipple Summations . . . . . . . . . . . 332--336
Howard A. Levine and
Lawrence E. Payne On the Nonexistence of Entire Solutions
to Nonlinear Second Order Elliptic
Equations . . . . . . . . . . . . . . . 337--343
E. B. Saff and
R. S. Varga Zero-Free Parabolic Regions for
Sequences of Polynomials . . . . . . . . 344--357
M. Abdel-Hameed and
F. Proschan Preservation of Geometric Properties
under an Integral Transformation . . . . 359--365
Nathaniel Grossman Polygamma Functions of Arbitrary Order 366--372
Margaret C. Waid A Second Order Nonlinear Degenerate
Parabolic Equation with Nonlinear
Boundary Conditions . . . . . . . . . . 373--383
M. L. Glasser Time to Attain a Given Temperature at
the Center of a Sphere Due to Radial
Heat Flow . . . . . . . . . . . . . . . 384--385
M. Rahman A Five-Parameter Family of Positive
Kernels from Jacobi Polynomials . . . . 386--413
M. Rahman Some Positive Kernels and Bilinear Sums
for Hahn Polynomials . . . . . . . . . . 414--435
C. K. Chui and
E. R. Rozema and
P. W. Smith and
J. D. Ward Metric Curvature, Folding, and Unique
Best Approximation . . . . . . . . . . . 436--449
L. E. Payne and
R. P. Sperb Some a Priori and Isoperimetric
Inequalities Associated with a Class of
Boundary Value Problems for Doubly
Connected Domains . . . . . . . . . . . 451--460
R. E. Showalter Regularization and approximation of
second order evolution equations . . . . 461--472
Reuvan Meidan Causality of Time-Varying Nonlinear
Operators and the Extendibility of Their
Domains . . . . . . . . . . . . . . . . 473--480
Kenneth B. Hannsgen The Resolvent Kernel of an
Integrodifferential Equation in Hilbert
Space . . . . . . . . . . . . . . . . . 481--490
L. Erbe Oscillation and asymptotic behavior of
solutions of third order differential
delay equations . . . . . . . . . . . . 491--500
I. G. Sprinkhuizen-Kuyper Orthogonal Polynomials in Two Variables.
A Further Analysis of the Polynomials
Orthogonal over a Region Bounded by Two
Lines and a Parabola . . . . . . . . . . 501--518
Brian Straughan Growth and Uniqueness Theorems for an
Abstract Nonstandard Wave Equation . . . 519--528
W. J. Holman, III and
L. C. Biedenharn and
J. D. Louck On Hypergeometric Series Well-Poised in
$ {SU}(n) $ . . . . . . . . . . . . . . 529--541
Richard W. Leggett A New Approach to the $ {H}$-Equation of
Chandrasekhar . . . . . . . . . . . . . 542--550
Hendrik J. Kuiper Some Nonlinear Boundary Value Problems 551--564
K. E. Swick A Model of Single Species Population
Growth . . . . . . . . . . . . . . . . . 565--576
Victor L. Shapiro Isolated Singularities in Steady State
Fluid Flow . . . . . . . . . . . . . . . 577--601
Ivo Babu ka Solution of Interface Problems by
Homogenization. I . . . . . . . . . . . 603--634
Ivo Babu ka Solution of Interface Problems by
Homogenization. II . . . . . . . . . . . 635--645
Joyce R. McLaughlin An Inverse Eigenvalue Problem of Order
Four . . . . . . . . . . . . . . . . . . 646--661
A. van der Sluis Estimating the Solutions of Slowly
Varying Recursions . . . . . . . . . . . 662--695
Murray Schechter A Solvability Theorem for Homogeneous
Functions . . . . . . . . . . . . . . . 696--701
M. E. Cohen On Expansion Problems: New Classes of
Formulas for the Classical Functions . . 702--712
H. D. Meyer Half-Plane Representations and Harmonic
Continuation . . . . . . . . . . . . . . 713--722
James Ward Brown and
Marek Kuczma Self-Inverse Sheffer Sequences . . . . . 723--728
J. A. Burns and
T. L. Herdman Adjoint Semigroup Theory for a Class of
Functional Differential Equations . . . 729--745
Alan Elcrat and
Vincent G. Sigillito An Explicit a Priori Estimate for
Parabolic Equations with Applications to
Semilinear Equations . . . . . . . . . . 746--753
S. R. Schach New Identities for Legendre Associated
Functions of Integral Order and Degree.
II: Extension to Other Polynomials . . . 754--766
N. M. Temme Remarks on a Paper of A. Erdélyi . . . . 767--770
B. L. J. Braaksma and
A. Schuitman Some Classes of Watson Transforms and
Related Integral Equations for
Generalized Functions . . . . . . . . . 771--798
R. Wong Error Bounds for Asymptotic Expansions
of Hankel Transforms . . . . . . . . . . 799--808
A. Sharma and
J. Tzimbalario A Class of Cardinal Trigonometric
Splines . . . . . . . . . . . . . . . . 809--819
B. L. Sharma A Note on Carlitz's Formula . . . . . . 820--823
William F. Trench Orthogonal Polynomial Expansions with
Nonnegative Coefficients . . . . . . . . 824--833
Ll. G. Chambers Note on Reciprocity Relations Associated
with a Linear Hyperbolic, Partial
Differential Equation . . . . . . . . . 834--836
Reuven Meidan Distribution Theory as the Basis of a
Postulational Foundation of Linear
Optical Systems . . . . . . . . . . . . 837--842
Dennis D. Berkey An Asymptotic Floquet Theorem for Linear
Almost Periodic Systems . . . . . . . . 843--847
Thomas Wallgren Oscillation of Solutions of the
Differential Equation $ y'' + p(x)y =
f(x) $ . . . . . . . . . . . . . . . . . 848--857
P. W. Bates and
G. B. Gustafson Maximization of Green's Function over
Classes of Multipoint Boundary Value
Problems . . . . . . . . . . . . . . . . 858--871
J. J. Levin Some a Priori Bounds for Nonlinear
Volterra Equations . . . . . . . . . . . 872--897
William Rundell and
Michael Stecher A Method of Ascent for Parabolic and
Pseudoparabolic Partial Differential
Equations . . . . . . . . . . . . . . . 898--912
A. K. Choudhury On the pointwise completeness of
delay-differential systems of neutral
type . . . . . . . . . . . . . . . . . . 913--929
Carl de Boor On the Cardinal Spline Interpolant to $
e^{iut} $ . . . . . . . . . . . . . . . 930--941
H. Gingold and
S. Rosenblat Differential Equations with Moving
Singularities . . . . . . . . . . . . . 942--957
H. L. Johnson On a Mixed Boundary Value Problem for
the Reduced Wave Equation on a Sphere 1--15
Shair Ahmad and
Alan C. Lazer On the Components of Extremal Solutions
of Second Order Systems . . . . . . . . 16--23
Lim Chee-Seng Axial Radiation Reception. Part II . . . 24--51
Robert Carmignani and
Keith Schrader Subfunctions and Distributional
Inequalities . . . . . . . . . . . . . . 52--68
T. Ohtsuki and
T. Fujisawa and
S. Kumagai Existence Theorems and a Solution
Algorithm for Piecewise-Linear Resistor
Networks . . . . . . . . . . . . . . . . 69--99
Rudy A. Gideon and
John Gurland Some Alternative Expansions for the
Distribution Function of a Noncentral
Chi-Square Random Variable . . . . . . . 100--110
C. C. Travis and
E. C. Young Uniqueness of Solutions to Singular
Boundary Value Problems . . . . . . . . 111--117
Kuo-Liang Chiou The Geometry of Indefinite $ {J}$-Spaces
and Strong Stability Criteria of
Canonical Differential Equations with
Periodic Coefficients . . . . . . . . . 118--126
F. W. J. Olver Connection Formulas for Second-Order
Differential Equations with Multiple
Turning Points . . . . . . . . . . . . . 127--154
John R. Cannon and
Paul Nelson Weak Solutions of the Time-Dependent
Continuous-Energy Equation of Neutron
Diffusion . . . . . . . . . . . . . . . 155--165
Roger C. McCann Inequalities for the Zeros of Bessel
Functions . . . . . . . . . . . . . . . 166--170
J. T. Lewis and
M. E. Muldoon Monotonicity and convexity properties of
zeros of Bessel functions . . . . . . . 171--178
D. H. Sattinger Group Representation Theory and Branch
Points of Nonlinear Functional Equations 179--201
J. Bustoz On the Zeros of Certain Jacobi
Polynomial Sums . . . . . . . . . . . . 202--205
C. A. Micchelli and
Allan Pinkus Moment Theory for Weak Chebyshev Systems
with Applications to Monosplines,
Quadrature Formulae and Best One-Sided $
L^1 $-Approximation by Spline Functions
with Fixed Knots . . . . . . . . . . . . 206--230
B. C. Carlson Elliptic Integrals of the First Kind . . 231--242
Raimond A. Struble The Numerical-Valued Fourier Transform
in the Two-Sided Operational Calculus 243--257
Raimond A. Struble Linear Transformations in the
Operational Calculus . . . . . . . . . . 258--270
J. K. Shaw Analytic properties of generalized
completely convex functions . . . . . . 271--279
Miriam Bareket On an Isoperimetric Inequality for the
First Eigenvalue of a Boundary Value
Problem . . . . . . . . . . . . . . . . 280--287
M. S. Klamkin On Chaplygin's Problem . . . . . . . . . 288--289
E. N. Gilbert and
D. Slepian Doubly Orthogonal Concentrated
Polynomials . . . . . . . . . . . . . . 290--319
L. Carlitz Some Expansions and Convolution Formulas
Related to MacMahon's Master Theorem . . 320--336
Reuven Meidan Linear Continuous Operators in $ {L}^p $
and Generalized Random Processes: A
Kernel Representation . . . . . . . . . 337--345
Viorel Barbu On a Nonlinear Volterra Integral
Equation on a Hilbert Space . . . . . . 346--355
Harold D. Meyer A Representation for Distributional
Solutions of Parabolic Problems . . . . 356--367
Charles J. Holland Singular Perturbations in the First
Boundary Value Problem for Parabolic
Equations . . . . . . . . . . . . . . . 368--374
Jenö Pal On a Concept of a Derivative Among
Functions Defined on the Dyadic Field 375--391
W. E. Olmstead Extent of the Left Branching Solution to
Certain Bifurcation Problems . . . . . . 392--401
D. Naylor On an Integral Transform Occurring in
the Theory of Diffraction . . . . . . . 402--411
Herbert Wyrwich An Explicit Solution of the Central
Connection Problem for an $n$ th Order
Linear Ordinary Differential Equation
with Polynomial Coefficients . . . . . . 412--422
George Gasper Positive Sums of the Classical
Orthogonal Polynomials . . . . . . . . . 423--447
Peter Lancaster and
Jon G. Rokne Solutions of Nonlinear Operator
Equations . . . . . . . . . . . . . . . 448--457
R. J. Hangelbroek and
C. G. Lekkerkerker Decompositions of a Hilbert Space and
Factorization of a W--A Determinant . . 458--472
Vaclav Dolezal Nonlinear Networks with Current Sources
and Tellegen's Theorem . . . . . . . . . 473--485
A. McD. Mercer Integral representations and
inequalities for Bessel functions . . . 486--490
David W. Fox and
James T. Stadter An Eigenvalue Estimation Method of
Weinberger and Weinstein's Intermediate
Problems . . . . . . . . . . . . . . . . 491--503
R. González and
R. Kress On the Treatment of a Dirichlet--Neumann
Mixed Boundary Value Problem for
Harmonic Functions by an Integral
Equation Method . . . . . . . . . . . . 504--517
L. Carlitz A Class of Generating Functions . . . . 518--532
Leopold Simar A Note on Stieltjes Moment Sequences . . 533--534
Tom Koornwinder The Addition Formula for Laguerre
Polynomials . . . . . . . . . . . . . . 535--540
Loyal Durand A Symmetrical Addition Formula for the
Laguerre Polynomials . . . . . . . . . . 541--546
R. K. Miller and
A. N. Michel $ L_2 $-Stability and -Instability of
Large-Scale Systems Described by
Integrodifferential Equations . . . . . 547--557
Philip Hartman On the Products of Solutions of Second
Order Disconjugate Differential
Equations and the Whittaker Differential
Equation . . . . . . . . . . . . . . . . 558--571
Joseph Auslander Filter Stability in Dynamical Systems 573--579
L. C. Baird and
S. Sancaktar and
P. F. Zweifel The Poincaré--Bertrand Formula: a
Derivation and a Generalization . . . . 580--591
Russell C. Thompson An Invariance Property of Solutions to
Second Order Differential Inequalities
in Ordered Banach Spaces . . . . . . . . 592--603
Andrew Acker Heat Flow Inequalities with Applications
to Heat Flow Optimization Problems . . . 604--618
R. S. Bucy and
A. J. Mallinckrodt and
H. Youssef High Speed Convolution of Periodic
Functions . . . . . . . . . . . . . . . 619--625
Kenneth B. Hannsgen Uniform $ {L}^1 $ Behavior for an
Integrodifferential Equation with
Parameter . . . . . . . . . . . . . . . 626--639
Gilbert Stengle Asymptotic Estimates for the Adiabatic
Invariance of a Simple Oscillator . . . 640--654
Norman Bleistein Asymptotic Expansions of Integral
Transforms of Functions with Logarithmic
Singularities . . . . . . . . . . . . . 655--672
F. W. J. Olver Connection Formulas for Second-Order
Differential Equations Having an
Arbitrary Number of Turning Points of
Arbitrary Multiplicities . . . . . . . . 673--700
L. Carlitz Note on Some Convolved Power Sums . . . 701--709
Donatus U. Anyanwu Uniform Asymptotic Solutions of
Nonhomogeneous Differential Equations
with Turning Points . . . . . . . . . . 710--718
Chung-Ling Yu Cauchy's Problem for Systems of First
Order Analytic Elliptic Equations in the
Plan . . . . . . . . . . . . . . . . . . 719--740
T. C. Lee and
D. Willett Second Order Singular Boundary Value
Problems . . . . . . . . . . . . . . . . 741--755
J. L. Goldberg and
J. L. Ullman A Note on Positive Real Functions . . . 757--762
Paul Binding and
Patrick J. Browne A Variational Approach to Multiparameter
Eigenvalue Problems for Matrices . . . . 763--777
L. M. Hall Regular Singular Differential Equations
Whose Conjugate Equation Has Polynomial
Solutions . . . . . . . . . . . . . . . 778--784
A. M. Fink Mean Value Inequalities . . . . . . . . 785--791
L. A. Medeiros and
G. Perla Menzala Existence and Uniqueness for Periodic
Solutions of the Benjamin--Bona--Mahony
Equation . . . . . . . . . . . . . . . . 792--799
B. A. Hargrave and
B. D. Sleeman Lamé Polynomials of Large Order . . . . . 800--842
Lim Chee-Seng A Transversely Isotropic Elliptic
Equation: An ARR Analogy Approach . . . 843--853
M. Faierman On the Distribution of the Eigenvalues
of a Two-Parameter System of Ordinary
Differential Equations of the Second
Order . . . . . . . . . . . . . . . . . 854--870
P. W. Schaefer and
R. P. Sperb Maximum Principles and Bounds in Some
Inhomogeneous Elliptic Boundary Value
Problems . . . . . . . . . . . . . . . . 871--878
A. M. Russell Applications of Riemann--Stieltjes
Integrals of Order $k$ in Functional
Analysis . . . . . . . . . . . . . . . . 879--890
Ronald A. De Vore Monotone Approximation by Splines . . . 891--905
Ronald A. De Vore Monotone Approximation by Polynomials 906--921
Nathaniel Grossman Errata: Polygamma Functions of Arbitrary
Order . . . . . . . . . . . . . . . . . 922--922
Ivo Babu ka Solution of Interface Problems by
Homogenization. III . . . . . . . . . . 923--937
T. R. Kiffe A Volterra Equation with a
Nonconvolution Kernel . . . . . . . . . 938--949
Stig-Olof Londen On an Integral Equation in a Hilbert
Space . . . . . . . . . . . . . . . . . 950--970
Alberto Baider and
Barry Cherkas Hypoelliptic Infinitesimal Generators 971--977
Henry E. Fettis New relations between two types of
Bessel function integrals . . . . . . . 978--982
B. D. Craven and
J. J. Koliha Generalizations of Farkas' Theorem . . . 983--997
G. B. Khosrovshahi Nonexistence of Nontrivial Solutions of
Schrödinger Type Systems . . . . . . . . 998--1013
Mizan Rahman On a Generalization of the Poisson
Kernel for Jacobi Polynomials . . . . . 1014--1031
L. Erbe Comparison Theorems for Second Order
Riccati Equations with Applications . . 1032--1037
A. Ronveaux and
M-C. Dumont-Lepage and
J. Habay Bounds on the Number of Poles of the
Solution of a General Riccati Equation 1038--1056
Stephen L. Campbell Linear Systems of Differential Equations
with Singular Coefficients . . . . . . . 1057--1066
James P. Keener On the Validity of the Two-Timing Method
for Large Times . . . . . . . . . . . . 1067--1091
Ingemar Nåsell Rational Bounds for Ratios of Modified
Bessel Functions . . . . . . . . . . . . 1--11
E. G. Kalnins and
Willard Miller, Jr. Lie Theory and the Wave Equation in
Space-Time. 2. The Group $ S O(4,
\mathbb {C}) $ . . . . . . . . . . . . . 12--33
Chih-Bing Ling Generalization of Certain Summations Due
to Ramanujan . . . . . . . . . . . . . . 34--48
Paul L. Davis On the Linear Theory of Heat Conduction
for Materials with Memory . . . . . . . 49--53
John W. Dettman Saturation Theorems Connected with the
Abstract Wave Equation . . . . . . . . . 54--64
L. Carlitz Some Combinatorial Identities of
Bernstein . . . . . . . . . . . . . . . 65--75
Loyal Durand Product Formulas and Nicholson-Type
Integrals for Jacobi Functions. I:
Summary of Results . . . . . . . . . . . 76--86
E. Grassmann and
J. Rokne Calculation of Some Extremal Conformal
Mappings . . . . . . . . . . . . . . . . 87--105
James S. Muldowney Linear Differential Inequalities . . . . 106--120
Patrick M. Brown Integral Operators for Fourth Order
Linear Parabolic Equations . . . . . . . 121--141
Gunnar Aronsson and
Bengt Winzell On an elliptic boundary value problem
with mixed boundary conditions, arising
in suspended sediment transport theory 142--150
Melvin Mullin The Energy Approach to the Karman--Föppl
Equations . . . . . . . . . . . . . . . 151--156
Rivka Senderovizh On Convexity Preserving Operators . . . 157--159
George C. Hsiao Singular Perturbation of an Exterior
Dirichlet Problem . . . . . . . . . . . 160--184
Sarp Adali Existence and Asymptotic Stability of
Solutions of an Abstract
Integrodifferential Equation with
Applications to Viscoelasticity . . . . 185--206
K. A. Heimes Green's Functions for Linear Second
Order Systems . . . . . . . . . . . . . 207--214
F. A. Howes The Asymptotic Solution of a Class of
Singularly Perturbed Nonlinear Boundary
Value Problems via Differential
Inequalities . . . . . . . . . . . . . . 215--249
F. A. Howes Singularly Perturbed Nonlinear Boundary
Value Problems with Turning Points. II 250--271
M. F. Barnsley and
P. D. Robinson Rational Approximant Bounds for a Class
of Two-Variable Stieltjes Functions . . 272--290
David Slepian and
Henry J. Landau A Note on the Eigenvalues of Hermitian
Matrices . . . . . . . . . . . . . . . . 291--297
Koichi Niijima On the Behavior of Solutions of a
Singularly Perturbed Boundary Value
Problem with a Turning Point . . . . . . 298--311
Steven I. Marcus and
Alan S. Willsky Algebraic Structure and Finite
Dimensional Nonlinear Estimation . . . . 312--327
F. W. J. Olver Sufficient Conditions for
Ackerberg--O'Malley Resonance . . . . . 328--355
Roger Nussbaum A Periodicity Threshold Theorem for Some
Nonlinear Integral Equations . . . . . . 356--376
J. Boersma On Certain Multiple Integrals Occurring
in a Waveguide Scattering Problem . . . 377--393
Joyce R. McLaughlin An Inverse Eigenvalue Problem of Order
Four --- An Infinite Case . . . . . . . 395--413
P. Masani Dilations as Propagators of Hilbertian
Varieties . . . . . . . . . . . . . . . 414--456
Tom Koornwinder and
Ida Sprinkhuizen-Kuyper Generalized Power Series Expansions for
a Class of Orthogonal Polynomials in Two
Variables . . . . . . . . . . . . . . . 457--483
C. A. Swanson Wirtinger's Inequality . . . . . . . . . 484--491
T. Matsumoto An Implicit Function Theorem and Its
Applications to Nonlinear Electrical
Networks . . . . . . . . . . . . . . . . 492--499
Leo W. Lampone A Positive Polynomial Expansion Problem
in Minimum Variance Smoothing . . . . . 500--514
C. D. Luning An Iterative Technique for Obtaining
Solutions of a Thomas--Fermi Equation 515--523
B. C. Carlson Short Proofs of Three Theorems on
Elliptic Integrals . . . . . . . . . . . 524--528
Frank J. S. Wang Asymptotic Behavior of Some
Deterministic Epidemic Models . . . . . 529--534
Paul B. Bailey and
Michael J. Norris On the interval of existence for
nonlinear two-point boundary value
problems . . . . . . . . . . . . . . . . 535--557
H. D. Victory, Jr. On the spectral radius of integral
operators defined by a class of
difference kernels . . . . . . . . . . . 558--567
Y. V. Venkatesh Global Variation Criteria for the $ L_2
$-Stability of Nonlinear Time Varying
Systems . . . . . . . . . . . . . . . . 568--581
S. C. Tefteller Nonhomogeneous second order differential
systems with integral boundary
conditions . . . . . . . . . . . . . . . 583--590
Robert P. Feinerman and
Robert B. Kelman Dual Orthogonal Series with Oscillatory
Modifiers . . . . . . . . . . . . . . . 591--594
Wolfram Luther A Tauberian remainder theorem for the
Hankel transform . . . . . . . . . . . . 595--599
Allan M. Krall Orthogonal Polynomials through Moment
Generating Functionals . . . . . . . . . 600--603
Robert D. Morton and
Allan M. Krall Distributional Weight Functions for
Orthogonal Polynomials . . . . . . . . . 604--626
Charles F. Dunkl An Addition Theorem for Hahn
Polynomials: The Spherical Functions . . 627--637
Joel N. Franklin Minimum Principles for Ill-Posed
Problems . . . . . . . . . . . . . . . . 638--650
Louis B. Bushard Computationally Useful Bounds for
Singular Nonlinear Second Order Boundary
Value Problems . . . . . . . . . . . . . 651--659
Harris S. Shultz Operational Calculus for Functions of
Two Variables . . . . . . . . . . . . . 660--666
Robert P. Feinerman Dual Orthogonal Series with Modifier
Tending to Zero . . . . . . . . . . . . 667--670
P. S. Crooke and
R. P. Sperb Isoperimetric Inequalities in a Class of
Nonlinear Eigenvalue Problems . . . . . 671--681
Stephan Ruscheweyh On the Kakeya--Eneström Theorem and
Gegenbauer Polynomial Sums . . . . . . . 682--686
Takao Nambu Asymptotic behavior of solutions of a
class of nonlinear differential
equations in Banach space . . . . . . . 687--718
R. Kent Nagle Nonlinear Boundary Value Problems for
Ordinary Differential Equations with a
Small Parameter . . . . . . . . . . . . 719--729
Joseph W. Jerome Existence and approximation of weak
solutions of nonlinear Dirichlet
problems with discontinuous coefficients 730--742
James D. Baker and
James A. Dyer A Stieltjes integral formula for Daniell
functionals . . . . . . . . . . . . . . 743--750
Nicholas J. Rose The Laurent Expansion of a Generalized
Resolvent with Some Applications . . . . 751--758
Mourad E. H. Ismail and
Martin E. Muldoon Monotonicity of the Zeros of a
Cross-Product of Bessel Functions . . . 759--767
J. R. Kuttler and
V. G. Sigillito Bounding Eigenvalues of Elliptic
Operators . . . . . . . . . . . . . . . 768--773
Shlomo Breuer and
Joseph J. Roseman A Lower Bound for the Eigenvalues of the
Elliptic Dirichlet Problem for a General
Domain in Terms of Its Characteristic
Dimension . . . . . . . . . . . . . . . 774--778
Henry E. Fettis Corrigendum: New Relations between Two
Types of Bessel Function Integrals . . . 779--779
L. Carlitz Solution of Certain Recurrences. II . . 781--786
G. A. Hively On a class of nonlinear integral
equations arising in transport theory 787--792
Gustaf Gripenberg An existence result for a nonlinear
Volterra integral equation in a Hilbert
space . . . . . . . . . . . . . . . . . 793--805
Philip Hartman Monotony properties and inequalities for
Green's functions for multipoint
boundary value problems . . . . . . . . 806--814
F. Nakajima A Stability Criterion of Diagonal
Dominance Type . . . . . . . . . . . . . 815--824
E. C. Obi A Note on the Rayleigh Polynomials . . . 825--834
R. Wong Asymptotic expansions of fractional
integrals involving logarithms . . . . . 835--842
Clement McCalla Zeros of the solutions of first-order
functional-differential equations . . . 843--847
Erkki Oja $S$-orthogonal projection operators as
asymptotic solutions of a class of
matrix differential equations . . . . . 848--854
Olof J. Staffans An asymptotic problem for a positive
definite operator-valued Volterra kernel 855--866
Olof J. Staffans On the asymptotic behavior of finite
energy solutions of an abstract integral
equation . . . . . . . . . . . . . . . . 867--875
M. Farkas Estimates on the existence regions of
perturbed periodic solutions . . . . . . 876--890
Mizan Rahman A Positive Kernel for Hahn--Eberlein
Polynomials . . . . . . . . . . . . . . 891--905
Allan J. Fryant Interpolation and approximation of
generalized axisymmetric potentials . . 906--914
Eng-Bin Lim Asymptotic Bounds of Solutions of the
Functional Differential Equation $ x'(t)
= a x(\lambda t) + b x(t) + f(t), \quad
0 < \lambda < 1 $ . . . . . . . . . . . . 915--920
K. R. Patil and
N. K. Thakare Multilinear generating function for the
Konhauser biorthogonal polynomial sets 921--923
D. W. Bresters On a Generalized Euler--Poisson--Darboux
Equation . . . . . . . . . . . . . . . . 924--934
David Colton The scattering of acoustic waves by a
spherically stratified medium and an
obstacle . . . . . . . . . . . . . . . . 935--942
James S. Muldowney Comparison Theorems for Linear Boundary
Value Problems . . . . . . . . . . . . . 943--955
Y. G. Sficas and
I. P. Stavroulakis On the Oscillatory and Asymptotic
Behavior of a Class of Differential
Equations with Deviating Arguments . . . 956--966
D. Naylor On a Nonself Adjoint Eigenfunction
Expansion . . . . . . . . . . . . . . . 967--978
Jon H. Davis A multi-time scale method in
almost-periodic stability problems . . . 979--995
J. W. de Roever Analytic Representations and Fourier
Transforms of Analytic Functionals in $
Z^{\prime } $ Carried by the Real Space 996--1019
P. de Mottoni and
A. Tesei On the solutions of a class of nonlinear
Sturm--Liouville problems . . . . . . . 1020--1029
V. H. Weston On the asymptotic solution of a partial
differential equation with an
exponential nonlinearity . . . . . . . . 1030--1053
Paul Binding and
Patrick J. Browne A variational approach to
multi-parameter eigenvalue problems in
Hilbert space . . . . . . . . . . . . . 1054--1067
Do Tan Si Representation of special functions by
differintegral and hyperdifferential
operators . . . . . . . . . . . . . . . 1068--1075
H. Gingold A method of global blockdiagonalization
for matrix-valued functions . . . . . . 1076--1082
W. F. Langford The generalized inverse of an unbounded
linear operator with unbounded
constraints . . . . . . . . . . . . . . 1083--1095
Barbara Fromm Chambers Analytic Continuation via Hadamard's
Product . . . . . . . . . . . . . . . . 1096--1104
R. H. Martin, Jr. Asymptotic behavior for semilinear
differential equations in Banach spaces 1105--1119
William Rundell and
Michael Stecher A Runge approximation and unique
continuation theorem for pseudoparabolic
equations . . . . . . . . . . . . . . . 1120--1125
Catherine Bandle Estimates for the Green's functions of
elliptic operators . . . . . . . . . . . 1126--1136
Shair Ahmad and
A. C. Lazer An $N$-dimensional extension of the
Sturm separation and comparison theory
to a class of nonselfadjoint systems . . 1137--1150
G. W. Reddien and
G. F. Webb Numerical approximation of nonlinear
functional differential equations with $
L^2 $ initial functions . . . . . . . . 1151--1171
A. D. Rawlins and
J. D. Morgan Monotonic Properties of Analytic
Functions . . . . . . . . . . . . . . . 1172--1178
Andrew Acker A Free Boundary Optimization Problem . . 1179--1191
William B. Jones and
W. J. Thron Sequences of meromorphic functions
corresponding to a formal Laurent series 1--17
Bhagat Singh Necessary and sufficient condition for
maintaining oscillations and
nonoscillations in general functional
equations and their asymptotic
properties . . . . . . . . . . . . . . . 18--31
Walter G. Kelley A nonlinear singular perturbation
problem for second-order systems . . . . 32--37
Wm. R. Allaway Extensions of Sheffer Polynomial Sets 38--48
W. E. Mahfoud and
S. M. Rankin Some Properties of Solutions of $ (r(t)
\psi (x)x')' + a(t)f(x) = 0 $ . . . . . 49--54
William T. Patula Growth and oscillation properties of
second order linear difference equations 55--61
Reuven Meidan Reproducing-kernel Hilbert spaces of
distributions and generalized stochastic
processes . . . . . . . . . . . . . . . 62--70
James H. Curry Bounded solutions of finite dimensional
approximations to the Boussinesq
equations . . . . . . . . . . . . . . . 71--77
J. Cigler A note on a paper by L. Carlitz: ``A
class of generating functions'' (SIAM J.
Math. Anal. \bf 8 (1977), no. 3,
518--532) . . . . . . . . . . . . . . . 78--79
F. J. Wilson Ideal Inversion Formulae for the Fourier
Transform . . . . . . . . . . . . . . . 80--85
A. G. Kartsatos and
J. Toro Oscillation and asymptotic behavior of
forced nonlinear equations . . . . . . . 86--95
L. E. Payne and
G. A. Philippin On some maximum principles involving
harmonic functions and their derivatives 96--104
C. E. Siewert and
J. S. Phelps, III On solutions of a transcendental
equation basic to the theory of
vibrating plates . . . . . . . . . . . . 105--111
Thomas G. Kurtz A variational formula for the growth
rate of a positive operator semigroup 112--117
D. Wexler Frequency domain stability for a class
of equations arising in reactor dynamics 118--138
L. Lundin and
F. Stenger Cardinal-type approximations of a
function and its derivatives . . . . . . 139--160
Hans G. Kaper Boundary value problems of mixed type
arising in the kinetic theory of gases 161--178
Hans G. Kaper Spectral representation of an unbounded
linear transformation arising in the
kinetic theory of gases . . . . . . . . 179--191
I. J. Zucker The Summation of Series of Hyperbolic
Functions . . . . . . . . . . . . . . . 192--206
Robert E. Hartwig and
Jim Shoaf On the derivative of the Drazin inverse
of a complex matrix . . . . . . . . . . 207--216
R. L. Gutmann and
A. N. Michel Stability of interconnected systems
described by stochastic nonlinear
Volterra integral equations . . . . . . 217--236
B. H. Gilding Stabilization of Flows Through Porous
Media . . . . . . . . . . . . . . . . . 237--246
A. G. Miamee and
H. Salehi On the bilateral prediction error matrix
of a multivariate stationary stochastic
process . . . . . . . . . . . . . . . . 247--252
Yoshiaki Kawamura Invertibility of Lipschitz continuous
mappings and its application to
electrical network equations . . . . . . 253--265
Joachim Hartung A Note on Restricted Pseudoinverses . . 266--273
T. Kiffe and
M. Stecher $ {L}^2 $ Solutions of Volterra Integral
Equations . . . . . . . . . . . . . . . 274--280
John B. Butler, Jr. On the inverse problem for selfadjoint
operators defined on certain rigged
Hilbert spaces . . . . . . . . . . . . . 281--291
Dale H. Mugler Completely Convex Functions and
Convergence . . . . . . . . . . . . . . 292--296
William Kolata Weakly perturbed forms and the spectral
properties of associated eigenvalue
problems . . . . . . . . . . . . . . . . 297--305
G. Blankenship and
S. Sachs Singularly perturbed linear stochastic
ordinary differential equations . . . . 306--320
C. P. May A saturation theorem for modified
Bernstein polynomials in $ L_p $-spaces 321--330
M. Vitins Error bounds in the method of averaging
based on properties of average motion 331--336
Yuzo Ohta Nonlinear accretive mappings in Banach
spaces: the solvability and a solution
algorithm . . . . . . . . . . . . . . . 337--353
Vaclav Dolezal Optimal linearization of equations
involving monotone operators . . . . . . 354--364
Ph. Clément and
J. A. Nohel Abstract linear and nonlinear Volterra
equations preserving positivity . . . . 365--388
George H. Knightly and
D. Sather Nonlinear buckling and stability of
cylindrical panels . . . . . . . . . . . 389--403
Vaclav Dolezal Solvability of a Class of Hilbert
Networks . . . . . . . . . . . . . . . . 404--411
C. C. Travis and
G. F. Webb An abstract second-order semilinear
Volterra integro-differential equation 412--424
Loyal Durand Addition formulas for Jacobi,
Gegenbauer, Laguerre, and hyperbolic
Bessel functions of the second kind . . 425--437
Mizan Rahman An elementary proof of Dunkl's addition
theorem for Krawtchouk polynomials . . . 438--445
S. Kamin On elliptic singular perturbation
problems with turning points . . . . . . 447--455
Paul W. Spikes Criteria of limit circle type for
nonlinear differential equations . . . . 456--462
W. F. Smyth Constant Limit of a Sequence of Iterates 463--471
Paul G. Nevai An asymptotic formula for the
derivatives of orthogonal polynomials 472--477
Mourad E. H. Ismail and
M. V. Tamhankar A Combinatorial Approach to Some
Positivity Problems . . . . . . . . . . 478--485
C. J. van Duyn On the diffusion of immiscible fluids in
porous media . . . . . . . . . . . . . . 486--497
C. T. Mullis and
R. A. Roberts On weak equivalence of linear systems
and finite state systems . . . . . . . . 498--511
Robert C. Busby and
Wyman Fair Convergence of ``periodic in the limit''
operator continued fractions . . . . . . 512--522
Vaclav Dolezal Linearization of Monotone Hilbert
Networks . . . . . . . . . . . . . . . . 523--531
Itshak Borosh and
Charles K. Chui On characterization of functions by
their Gauss--Chebyshev quadratures . . . 532--541
Stephen L. Campbell and
Nicholas J. Rose Singular Perturbation of Autonomous
Linear Systems . . . . . . . . . . . . . 542--551
Viorel Barbu Existence for nonlinear Volterra
equations in Hilbert spaces . . . . . . 552--569
Paul L. Davis On the speed of propagation of solutions
of integro-differential equations . . . 570--576
Stanley R. Deans Gegenbauer Transforms via the Radon
Transform . . . . . . . . . . . . . . . 577--585
Serge Vasilach Algebraic Method for Solving Linear
Partial Differential Equations with
Variable Coefficients. Part I: Basic
Theory . . . . . . . . . . . . . . . . . 586--602
Avraham Feintuch Strictly and strongly strictly causal
linear operators . . . . . . . . . . . . 603--613
John E. Franke and
James F. Selgrade A computer method for verification of
asymptotically stable periodic orbits 614--628
Raimond A. Struble Operational Rules . . . . . . . . . . . 629--642
Dan Amir and
Zvi Ziegler Expansions of generalized completely
convex functions . . . . . . . . . . . . 643--654
Kathryn Kuiken Heun's Equation and the Hypergeometric
Equation . . . . . . . . . . . . . . . . 655--657
Jean-Marc Vanden-Broeck and
Leonard W. Schwartz A One-Parameter Family of Sequence
Transformations . . . . . . . . . . . . 658--666
William T. Reid Some aspects of oscillation and boundary
problem theory for Hamiltonian systems
in a $ B^* $-algebra . . . . . . . . . . 667--681
R. F. Millar Singularities of solutions to exterior
analytic boundary value problems for the
Helmholtz equation in three independent
variables. II. The axisymmetric boundary 682--694
R. E. O'Malley, Jr. A singular singularly-perturbed linear
boundary value problem . . . . . . . . . 695--708
H. Gingold On Continuous Triangularization of
Matrix Functions . . . . . . . . . . . . 709--720
Frank J. S. Wang Perturbation and Maximum Number of
Infectives of Some SIR Epidemic Models 721--727
H. J. K. Moet A note on the asymptotic behavior of
solutions of the KPP equation . . . . . 728--732
B. F. Logan Limits in $ L_p $ of convolution
transforms with kernels $ a K(a t),
\quad a \rightarrow 0 $ . . . . . . . . 733--740
B. F. Logan Inequalities and minimum norm kernels
for the Hardy class $ H_p $ . . . . . . 741--751
B. F. Logan Note on Construction of Weight Functions 752--756
N. M. Temme The asymptotic expansion of the
incomplete gamma functions . . . . . . . 757--766
Ramendra Krishna Bose Realizability theory of continuous
linear operators on groups . . . . . . . 767--777
Roger Chalkley Analytic solutions of algebraic
differential equations . . . . . . . . . 778--782
Fred Brauer Decay rates for solutions of a class of
differential-difference equations . . . 783--788
Allan L. Edelson Positive Solutions of the Equation $
(m(t) x'(t))' + A(t) x(t) = 0 $ . . . . 789--793
M. Lowengrub and
J. Walton Systems of Generalized Abel Equations 794--807
J. R. Walton Systems of generalized Abel integral
equations with applications to
simultaneous dual relations . . . . . . 808--822
Dieter Schmidt and
Gerhard Wolf A method of generating integral
relations by the simultaneous
separability of generalized Schrödinger
equations . . . . . . . . . . . . . . . 823--838
Gustaf Gripenberg On a frequency domain condition used in
the theory of Volterra equations . . . . 839--843
C. T. Kelley Solution of $ {H}$-Equations by
Iteration . . . . . . . . . . . . . . . 844--849
Eckhard Grassmann and
Jon Rokne Calculation of extremum problems for
univalent functions . . . . . . . . . . 850--874
K. J. Brown and
H. Budin On the existence of positive solutions
for a class of semilinear elliptic
boundary value problems . . . . . . . . 875--883
Mourad E. H. Ismail and
Douglas H. Kelker Special functions, Stieltjes transforms
and infinite divisibility . . . . . . . 884--901
J. Bustoz and
N. Savage Inequalities for ultraspherical and
Laguerre polynomials . . . . . . . . . . 902--912
A. K. Aziz and
M. Schneider Frankl--Morawetz problem in $ \mathbf
{R}^3 $ . . . . . . . . . . . . . . . . 913--921
G. F. Webb A bifurcation problem for a nonlinear
hyperbolic partial differential equation 922--932
Richard Tremblay Some operational formulas involving the
operators $ x D $, $ x \Delta $ and
fractional derivatives . . . . . . . . . 933--943
A. H. Zemanian Countably infinite nonlinear
time-varying active electrical networks 944--960
Ralph W. Carr and
Kenneth B. Hannsgen A nonhomogeneous integro-differential
equation in Hilbert space . . . . . . . 961--984
Earl R. Barnes Stability conditions for second-order
ordinary differential equations with
periodic coefficients . . . . . . . . . 985--1001
Arieh Iserles On the $A$-acceptability of Padé
approximations . . . . . . . . . . . . . 1002--1007
Richard Askey and
James Wilson A set of orthogonal polynomials that
generalize the Racah coefficients or $ 6
- j $ symbols . . . . . . . . . . . . . 1008--1016
Gustaf Gripenberg On an Abstract Integral Equation . . . . 1017--1021
L. Carlitz Some multiple power series with zero-one
coefficients . . . . . . . . . . . . . . 1022--1040
Richard D. Carmichael Analytic functions related to the
distributions of exponential growth . . 1041--1068
Wallace Goldberg and
Harry Hochstadt On a Hill's Equation with Two Gaps in
Its Spectrum . . . . . . . . . . . . . . 1069--1076
Serge Vasilach Algebraic method for solving linear
partial differential equations with
variable coefficients. II. Fundamental
solutions . . . . . . . . . . . . . . . 1077--1088
R. K. Miller and
A. N. Michel Stability of linear Volterra
integro-differential equations of order
$n$ . . . . . . . . . . . . . . . . . . 1089--1091
R. K. S. Rathore and
P. N. Agrawal The unsettled problem of M. G. Kre\uìn on
nonnegative polynomials in $T$-systems 1092--1094
P. N. Shivakumar and
R. Wong Asymptotic expansion of multiple Fourier
transforms . . . . . . . . . . . . . . . 1095--1104
Andreu Mas-Colell Homeomorphisms of compact, convex sets
and the Jacobian matrix . . . . . . . . 1105--1109
John L. Lewis Applications of a convolution theorem to
Jacobi polynomials . . . . . . . . . . . 1110--1120
Vaclav Dolezal A sensitivity analysis of systems
consisting of linear blocks . . . . . . 1121--1137
Olof J. Staffans On the Asymptotic Spectrum of a
Convolution . . . . . . . . . . . . . . 1138--1143
J. Naumann On a class of first-order evolution
inequalities arising in heat conduction
with memory . . . . . . . . . . . . . . 1144--1160
I. Gohberg and
P. Lancaster and
L. Rodman Perturbation theory for divisors of
operator polynomials . . . . . . . . . . 1161--1183
Paul G. Nevai and
Jesús S. Dehesa On asymptotic average properties of
zeros of orthogonal polynomials . . . . 1184--1192
A. H. Zemanian Countably Infinite Time-Varying
Electrical Networks . . . . . . . . . . 1193--1198
Philip Hartman Some Singular Nonoscillatory Boundary
Value Problems . . . . . . . . . . . . . 1199--1219
Jan Sanders On the Passage through Resonance . . . . 1220--1243
Catherine Bandle A remark on a paper: ``On some maximum
principles involving harmonic functions
and their derivatives'' [SIAM J. Math.
Anal. \bf 10 (1979), no. 1, 96--104; MR
81f:31011a] . . . . . . . . . . . . . . 1244--1245
Dorel Homentcovschi Conformal mapping of the domain exterior
to a thin region . . . . . . . . . . . . 1246--1257
Jerry M. Feinberg Some Wirtinger-like inequalities . . . . 1258--1271
William T. Patula Growth, oscillation and comparison
theorems for second-order linear
difference equations . . . . . . . . . . 1272--1279
J. Ladev\`eze and
P. Ladev\`eze Lower bounds for the fundamental free
membrane eigenvalue . . . . . . . . . . 1280--1292
R. C. Churchill and
J. F. Selgrade On the Poincaré criterion for asymptotic
stability . . . . . . . . . . . . . . . 1293--1298
M. Kojima and
R. Saigal A Study of $ {\text {PC}}^1 $
Homeomorphisms on Subdivided Polyhedrons 1299--1312
R. E. White Weak solutions of $ (p(x)u^{\prime }
(x))^{\prime } + g(x)u^{\prime } (x) + q
u(x) = f $ with $ q, \, f \in H_{-1}[a,
\, b] $, $ 0 < p(x) \in L_{\infty }[a, \,
b] $, $ g(x) \in L_{\infty }[a, \, b] $
and $ u \in H_1 [a, \, b] $ . . . . . . 1313--1325
René P. Sperb Corrigendum and addendum: ``Maximum
principles and bounds in some
inhomogeneous elliptic boundary
problems'' [SIAM J. Math. Anal. \bf 8
(1977), no. 5, 871--878; MR \bf 58
#11889] by P. W. Schaefer and R. P.
Sperb . . . . . . . . . . . . . . . . . 1326--1326
P. P. N. de Groen The nature of resonance in a singular
perturbation problem of turning point
type . . . . . . . . . . . . . . . . . . 1--22
Manfred Sommer Characterization of continuous
selections for the metric projection for
generalized splines . . . . . . . . . . 23--40
Frank R. de Hoog and
Richard Weiss On the boundary value problem for
systems of ordinary differential
equations with a singularity of the
second kind . . . . . . . . . . . . . . 41--60
R. E. White Value set at $ x \in \Omega $ for an
arbitrary distribution with applications
to local extrema of $ f \in C(\Omega) $
and a maximum principle for ordinary
differential equations . . . . . . . . . 61--72
Aaron Fialkow The zeros of the odd and even parts of a
Hurwitz polynomial . . . . . . . . . . . 73--81
T. Kiffe and
M. Stecher Properties and applications of the
resolvent operator to a Volterra
integral equation in Hilbert space . . . 82--91
R. Wong Asymptotic Expansion of the Hilbert
Transform . . . . . . . . . . . . . . . 92--99
Dennis Stanton Product formulas for $q$-Hahn
polynomials . . . . . . . . . . . . . . 100--107
E. N. Chukwu A neutral functional differential
equation of Lurie type . . . . . . . . . 108--114
R. D. Gregory A Note on Multiple Asymptotic Series . . 115--118
G. S. Jordan and
Robert L. Wheeler Structure of resolvents of Volterra
integral and integro-differential
systems . . . . . . . . . . . . . . . . 119--132
Thomas P. Laine The product formula and convolution
structure for the generalized Chebyshev
polynomials . . . . . . . . . . . . . . 133--146
Paolo Manselli and
Keith Miller Dimensionality reduction methods for
efficient numerical solution, backward
in time, of parabolic equations with
variable coefficients . . . . . . . . . 147--159
Antonio Granata Canonical factorizations of disconjugate
differential operators . . . . . . . . . 160--172
Steven D. Taliaferro On the angular variation of solutions of
second order linear systems . . . . . . 173--180
Brian Straughan Consequences of analyticity in linear
elastostatics and related systems . . . 181--189
G. J. Butler Integral averages and the oscillation of
second order ordinary differential
equations . . . . . . . . . . . . . . . 190--200
Andrew Acker A Free Boundary Optimization Problem. II 201--209
Andrew Acker Errata: ``A free boundary optimization
problem'' [SIAM J. Math. Anal. \bf 9
(1978), no. 6, 1179--1191; MR 80d:49031] 209--209
Hendrik J. Kuiper and
Steven M. Shew Strong solutions for
infinite-dimensional Riccati equations
arising in transport theory . . . . . . 211--222
Lee Lorch Turánians and Wronskians for the zeros of
Bessel functions . . . . . . . . . . . . 223--227
I. M. Sheffer On a Class $ W[k, s; C_{ij}] $ of
Polynomial Sets: Part I . . . . . . . . 228--241
Kenneth B. Stolarsky A stronger logarithmic inequality
suggested by the entropy inequality . . 242--247
A. Azzam On Dirichlet's problem for elliptic
equations in sectionally smooth
$n$-dimensional domains . . . . . . . . 248--253
Vasilios Alexiades and
John R. Cannon Free Boundary Problems in Solidification
of Alloys . . . . . . . . . . . . . . . 254--264
Frederick Bloom Bounds for solutions to a class of
integro-differential equations
associated with a theory of rigid
nonconducting material dielectrics . . . 265--291
N. S. Wilkes Continuous dependence and instability in
linear thermoelasticity . . . . . . . . 292--299
Judith A. Armstrong and
Norman Bleistein Asymptotic expansions of integrals with
oscillatory kernels and logarithmic
singularities . . . . . . . . . . . . . 300--307
William A. Porter Synthesis of Polynomic Systems . . . . . 308--315
M. Golubitsky and
B. L. Keyfitz A qualitative study of the steady-state
solutions for a continuous flow stirred
tank chemical reactor . . . . . . . . . 316--339
Wayne T. Ford and
Maria C. Fuente and
Margaret C. Waid Porous Media Problems . . . . . . . . . 340--347
Vasilios Alexiades A singular parabolic initial-boundary
value problem in a noncylindrical domain 348--357
T. S. Chihara Orthogonal polynomials whose
distribution functions have finite point
spectra . . . . . . . . . . . . . . . . 358--364
M. Shearer Secondary Bifurcation Near a Double
Eigenvalue . . . . . . . . . . . . . . . 365--389
R. P. Singal A short note on a differential recursion
formula for Appell's hypergeometric
function $ F_3 $ . . . . . . . . . . . . 390--391
Vaclav Dolezal An approximation theorem for a
Hammerstein-type equation and
applications . . . . . . . . . . . . . . 392--399
Robert R. Stevens Periodic Solutions of $ x'' + g(t, x) =
0 $ . . . . . . . . . . . . . . . . . . 400--403
Michael A. Arbib and
Ernest G. Manes Generalized Hankel Matrices and System
Realization . . . . . . . . . . . . . . 405--424
Arun Verma A quadratic transformation of a basic
hypergeometric series . . . . . . . . . 425--427
B. C. Carlson The Laplace transform of a product of
Bessel functions . . . . . . . . . . . . 428--435
C. K. Chui and
P. W. Smith and
J. D. Ward Degree of $ {L}_p $ Approximation by
Monotone Splines . . . . . . . . . . . . 436--447
Stephen J. Willson A Semigroup on the Space of Compact
Convex Bodies . . . . . . . . . . . . . 448--457
James Murdock and
Clark Robinson A Note on the Asymptotic Expansion of
Eigenvalues . . . . . . . . . . . . . . 458--459
Günther Nürnberger Nonexistence of continuous selections of
the metric projection and weak Chebyshev
systems . . . . . . . . . . . . . . . . 460--467
Alan Lambert Statistical independence and invariant
subspaces for point transformation . . . 468--472
Deborah Tepper Haimo Homogeneous Generalized Temperatures . . 473--487
Stuart P. Lloyd Hamming Association Schemes and Codes on
Spheres . . . . . . . . . . . . . . . . 488--505
R. G. Langebartel Fourier expansions of rational fractions
of elliptic integrals and Jacobian
elliptic functions . . . . . . . . . . . 506--513
Edmund Christiansen Limit Analysis for Plastic Plates . . . 514--522
Wayne J. Holman, III Summation theorems for hypergeometric
series in $ {\rm U}(n) $ . . . . . . . . 523--532
Harlan W. Stech Periodic solutions to a nonlinear
Volterra integro-differential equation 533--544
W. S. Loud A bifurcation application of the
generalized inverse of a linear
differential operator . . . . . . . . . 545--558
C. V. Pao Nonexistence of global solutions for an
integro-differential system in reactor
dynamics . . . . . . . . . . . . . . . . 559--564
H. L. Johnson A Mixed Boundary Value Problem Viewed as
a Type V Problem . . . . . . . . . . . . 565--576
Victor L. Shapiro Saddle points and Ritz--Galerkin
approximations . . . . . . . . . . . . . 577--595
Marion Orton The generalized Abel equations for
Schwartz distributions . . . . . . . . . 596--611
Masayasu Mimura and
Masahisa Tabata and
Yuzo Hosono Multiple solutions of two-point boundary
value problems of Neumann type with a
small parameter . . . . . . . . . . . . 613--631
J. R. Cannon and
Emmanuele DiBenedetto On the existence of weak-solutions to an
$n$-dimensional Stefan problem with
nonlinear boundary conditions . . . . . 632--645
D. J. Hartfiel Concerning the eigenvalues of $ D A $
under variations of the entries of $D$
and $A$ . . . . . . . . . . . . . . . . 646--653
Gustaf Gripenberg On the asymptotic behavior of resolvents
of Volterra equations . . . . . . . . . 654--662
Giovanni Monegato Some new inequalities related to certain
ultra-spherical polynomials . . . . . . 663--667
Gustaf Gripenberg On nonlinear Volterra equations with
nonintegrable kernels . . . . . . . . . 668--682
Frank J. S. Wang Stability of an Age-Dependent Population 683--689
James A. Wilson Some Hypergeometric Orthogonal
Polynomials . . . . . . . . . . . . . . 690--701
R. Shail On integral representations for Lamé and
other special functions . . . . . . . . 702--723
Charles K. Chui and
Philip W. Smith An application of spline approximation
with variable knots to optimal
estimation of the derivative . . . . . . 724--736
Paul A. Fuhrmann Operator measures, selfadjoint operators
and dynamical systems . . . . . . . . . 737--757
Jan A. Sanders Asymptotic approximations and extension
of time-scales . . . . . . . . . . . . . 758--770
S. Simons The use of polynomials in evaluating
certain probabilistic integrals . . . . 771--786
George E. Andrews Notes on the Dyson Conjecture . . . . . 787--792
Olof J. Staffans On a Nonlinear Hyperbolic Volterra
Equation . . . . . . . . . . . . . . . . 793--812
David D. Bleecker and
Leslie C. Wilson Splitting the Spectrum of a Riemannian
Manifold . . . . . . . . . . . . . . . . 813--818
Mark A. Pinsky The Eigenvalues of an Equilateral
Triangle . . . . . . . . . . . . . . . . 819--827
Kusum Soni Exact error terms in the asymptotic
expansion of a class of integral
transforms. I. Oscillatory kernels . . . 828--841
Howard A. Levine and
John T. Montgomery The quenching of solutions of some
nonlinear parabolic equations . . . . . 842--847
Reinhard Schäfke and
Dieter Schmidt The connection problem for general
linear ordinary differential equations
at two regular singular points with
applications in the theory of special
functions . . . . . . . . . . . . . . . 848--862
Reinhard Schäfke The connection problem for two
neighboring regular singular points of
general linear complex ordinary
differential equations . . . . . . . . . 863--875
J. Bustoz and
N. Savage Inequalities for ultraspherical and
Laguerre polynomials. II . . . . . . . . 876--884
G. S. Jordan and
Robert L. Wheeler Weighted $ L^1 $-remainder theorems for
resolvents of Volterra equations . . . . 885--900
K. E. Swick Periodic solutions of a nonlinear
age-dependent model of single species
population dynamics . . . . . . . . . . 901--910
L. A. Skinner Note on the asymptotic behavior of
multidimensional Laplace integrals . . . 911--917
Doron Zeilberger The algebra of linear partial difference
operators and its applications . . . . . 919--932
William R. Wade Uniqueness of Walsh series which satisfy
an averaged growth condition . . . . . . 933--937
Richard Askey Some basic hypergeometric extensions of
integrals of Selberg and Andrews . . . . 938--951
Juhani Pitkäranta Estimates for the derivatives of
solutions to weakly singular Fredholm
integral equations . . . . . . . . . . . 952--968
D. Wexler On frequency domain stability for
evolution equations in Hilbert spaces
via the algebraic Riccati equation . . . 969--983
S. Gudder and
F. Schroeck Generalized Convexity . . . . . . . . . 984--1001
J. F. Colombeau and
A. Meril A Remark on Equations $ y'' + p_1 y' +
p_2 y = 0 $ at an Irregular Singular
Point . . . . . . . . . . . . . . . . . 1002--1010
E. G. Kalnins and
Willard Miller, Jr. Killing tensors and variable separation
for Hamilton--Jacobi and Helmholtz
equations . . . . . . . . . . . . . . . 1011--1026
B. R. Handa and
S. G. Mohanty On $q$-binomial coefficients and some
statistical applications . . . . . . . . 1027--1035
T. Kiffe A Perturbation of an Abstract Volterra
Equation . . . . . . . . . . . . . . . . 1036--1046
D. H. Martin Conditional positivity of quadratic
forms in Hilbert space . . . . . . . . . 1047--1057
L. A. Skinner Uniformly Valid Expansions for Laplace
Integrals . . . . . . . . . . . . . . . 1058--1067
Kurt Bernardo Wolf and
Thomas H. Seligman Harmonic Analysis on Bilateral Classes 1068--1074
Hendrik J. Kuiper Invariant sets for nonlinear elliptic
and parabolic systems . . . . . . . . . 1075--1103
Gerhard Kristensson A uniqueness theorem for Helmholtz'
equation: penetrable media with an
infinite interface . . . . . . . . . . . 1104--1117
Shair Ahmad and
Alan C. Lazer On an Extension of the Sturm Comparison
Theorem . . . . . . . . . . . . . . . . 1--9
N. Anderson and
E. B. Saff and
R. S. Varga An extension of the Eneström--Kakeya
theorem and its sharpness . . . . . . . 10--22
Serge Vasilach Algebraic method for solving systems of
linear differential equations with
variable coefficients . . . . . . . . . 23--39
Vaclav Dolezal Feedback reducing sensitivity by a
factor $ \lambda < 1 $ . . . . . . . . . 40--48
M. C. Shen and
K. C. Lin and
S. M. Shih Peristaltic Transport of a
Fluid-Particle Mixture . . . . . . . . . 49--59
Earl R. Barnes Stability conditions for linear
Hamiltonian systems with periodic
coefficients . . . . . . . . . . . . . . 60--71
Gary D. Jones An Ordering of Oscillation Types for $
y^{(n)} + p y = 0. $ . . . . . . . . . . 72--77
I. Troch On the interval of disconjugacy of
linear autonomous differential equations 78--89
Robert A. Howland, Jr. A quadratic transformation technique for
the solution of nonlinear systems . . . 90--103
Robert Schreiber Regularity of singular two-point
boundary value problems . . . . . . . . 104--109
L. Raymon Piecewise Monotone Interpolation in
Polynomial Time . . . . . . . . . . . . 110--114
A. H. Zemanian The characteristic-resistance method for
grounded semi-infinite grids . . . . . . 115--138
E. C. Obi Corrigendum: ``A note on the Rayleigh
polynomials'' [SIAM J. Math. Anal. \bf 9
(1978), no. 5, 825--834; MR 80j:33010] 139--139
M. J. Norris and
R. D. Driver A uniqueness theorem for ordinary
differential equations . . . . . . . . . 141--144
Mizan Rahman A stochastic matrix and bilinear sums
for Racah--Wilson polynomials . . . . . 145--160
D. M. Bressoud Linearization and related formulas for
$q$-ultraspherical polynomials . . . . . 161--168
Andrew Acker An extremal problem involving current
flow through distributed resistance . . 169--172
Allan C. Peterson Existence-uniqueness for focal-point
boundary value problems . . . . . . . . 173--185
James Ward Brown and
Steven M. Roman Inverse Relations for Certain Sheffer
Sequences . . . . . . . . . . . . . . . 186--195
George Gasper Summation Formulas for Basic
Hypergeometric Series . . . . . . . . . 196--200
Marjorie McCracken The resolvent problem for the Stokes
equations on halfspace in $ L_p $ . . . 201--228
Bui An Ton Existence and uniqueness of a classical
solution of an initial-boundary value
problem of the theory of shallow waters 229--241
A. Azzam On Dirichlet's problem for elliptic
equations in sectionally smooth
$n$-dimensional domains. II . . . . . . 242--242
Stephen J. Hegner Linear Decomposable Systems in
Continuous Time . . . . . . . . . . . . 243--273
Jack W. Silverstein Describing the behavior of eigenvectors
of random matrices using sequences of
measures on orthogonal groups . . . . . 274--281
Edward W. Larsen Bounds and maximum principles for the
solution of the linear transport
equation . . . . . . . . . . . . . . . . 282--292
John C. Kieffer and
Maurice Rahe Markov Channels are Asymptotically Mean
Stationary . . . . . . . . . . . . . . . 293--305
Alain Damlamian How to homogenize a nonlinear diffusion
equation: Stefan's problem . . . . . . . 306--313
E. C. Tomastik Conjugate and focal points of
second-order differential systems . . . 314--320
Ole Caprani and
Kaj Madsen and
L. B. Rall Integration of Interval Functions . . . 321--341
M. S. Henry and
K. Wiggins Approximation theory methods for linear
and nonlinear differential equations
with deviating arguments . . . . . . . . 342--354
Mizan Rahman Families of biorthogonal rational
functions in a discrete variable . . . . 355--367
James S. Muldowney On invertibility of linear ordinary
differential boundary value problems . . 368--384
Avner Friedman Variational Inequalities in Sequential
Analysis . . . . . . . . . . . . . . . . 385--397
Donald C. Benson Principal Solutions for Liénard's
Equation . . . . . . . . . . . . . . . . 398--412
Stephen C. Persek Hierarchies of iterated averages for
systems of ordinary differential
equations with a small parameter . . . . 413--420
W. W. Symes Stable solution of the inverse
reflection problem for a smoothly
stratified elastic medium . . . . . . . 421--453
Mourad E. H. Ismail The Basic Bessel Functions and
Polynomials . . . . . . . . . . . . . . 454--468
Vaclav Dolezal A Note on Strictly Causal Operators . . 469--470
Jacques Dutka Two Results of Ramanujan . . . . . . . . 471--476
K. Glashoff and
J. Sprekels An application of Glicksberg's theorem
to set-valued integral equations arising
in the theory of thermostats . . . . . . 477--486
L. A. Skinner Erratum: ``Uniformly valid expansions
for Laplace integrals'' . . . . . . . . 487--487
L. R. Bragg The radial wave and
Euler--Poisson--Darboux equations with
singular data . . . . . . . . . . . . . 489--501
Gilbert G. Walter and
Paul G. Nevai Series of Orthogonal Polynomials as
Boundary Values . . . . . . . . . . . . 502--513
Ph. Clément and
J. A. Nohel Asymptotic behavior of solutions of
nonlinear Volterra equations with
completely positive kernels . . . . . . 514--535
Mark J. Friedman Mathematical study of the nonlinear
singular integral magnetic field
equation. III . . . . . . . . . . . . . 536--540
Kuo Shung Cheng Uniqueness of a limit cycle for a
predator-prey system . . . . . . . . . . 541--548
R. K. Beatson Convex Approximation by Splines . . . . 549--559
M. J. Leitman An integro-differential equation for
plane waves propagating into a random
fluid: asymptotic behavior . . . . . . . 560--571
Don Hinton Eigenfunction expansions for a singular
eigenvalue problem with eigenparameter
in the boundary condition . . . . . . . 572--584
Gustaf Gripenberg Integrability of resolvents of systems
of Volterra equations . . . . . . . . . 585--594
Gustaf Gripenberg Asymptotic solutions of some nonlinear
Volterra integral equations . . . . . . 595--602
Robert A. Gardner Comparison and stability theorems for
reaction-diffusion systems . . . . . . . 603--616
E. G. Kalnins and
Willard Miller, Jr. Killing tensors and nonorthogonal
variable separation for Hamilton--Jacobi
equations . . . . . . . . . . . . . . . 617--629
Martin Braun Invariant curves, homoclinic points, and
ergodicity in area-preserving mappings 630--638
D. G. Aronson Widder's inversion theorem and the
initial distribution problems . . . . . 639--651
Yasutaka Sibuya A theorem concerning uniform
simplification at a transition point and
the problem of resonance . . . . . . . . 653--668
James F. Selgrade Asymptotic behavior of solutions to
multiple loop positive feedback systems 669--678
Luis A. Caffarelli and
Avner Friedman and
Augusto Visintin A free boundary problem describing
transition in a superconductor . . . . . 679--690
W. Balser and
W. B. Jurkat and
D. A. Lutz On the reduction of connection problems
for differential equations with an
irregular singular point to ones with
only regular singularities. I . . . . . 691--721
L. R. Bragg Vector Lifting and Factorable
Differential Operators . . . . . . . . . 722--730
Emmanuele Di Benedetto and
R. E. Showalter Implicit Degenerate Evolution Equations
and Applications . . . . . . . . . . . . 731--751
A. J. E. M. Janssen Positivity of Weighted Wigner
Distributions . . . . . . . . . . . . . 752--758
John B. Bell The noncharacteristic Cauchy problem for
a class of equations with time
dependence. I. Problems in one space
dimension . . . . . . . . . . . . . . . 759--777
John B. Bell The noncharacteristic Cauchy problem for
a class of equations with time
dependence. II. Multidimensional
problems . . . . . . . . . . . . . . . . 778--797
P. Deift and
E. Trubowitz A Continuum Limit of Matrix Inverse
Problems . . . . . . . . . . . . . . . . 799--818
J. L. Lavoie and
R. Tremblay The Jabotinsky Matrix of a Power Series 819--825
Shmuel Friedland A Generalization of the Kreiss Matrix
Theorem . . . . . . . . . . . . . . . . 826--832
A. S. Cavaretta, Jr. and
W. Dahmen and
C. A. Micchelli and
P. W. Smith On the solvability of certain systems of
linear difference equations . . . . . . 833--841
Richard Datko The Perron Condition for
Differential-Difference Equations in a
Hilbert Space . . . . . . . . . . . . . 842--852
Steven D. Taliaferro Asymptotic Behavior of Solutions of $
y'' = \varphi (t) f(y) $ . . . . . . . . 853--865
Joseph DiGiallonardo Existence, oscillation and eigenvalue
comparison theorems for two- and
three-point fourth order problems . . . 866--873
C. D. Luning and
W. L. Perry Positive solutions of negative exponent
generalized Emden--Fowler boundary value
problems . . . . . . . . . . . . . . . . 874--879
C. Atkinson and
G. E. H. Reuter and
C. J. Ridler-Rowe Traveling wave solution for some
nonlinear diffusion equations . . . . . 880--892
Peter H. Chang and
Howard A. Levine The quenching of solutions of semilinear
hyperbolic equations . . . . . . . . . . 893--903
Pierangelo Marcati Asymptotic behavior in age-dependent
population dynamics with hereditary
renewal law . . . . . . . . . . . . . . 904--916
G. Alduncin and
J. T. Oden Analysis of Galerkin approximations of a
class of pseudomonotone diffusion
problems . . . . . . . . . . . . . . . . 917--930
R. J. McEliece and
B. Reznick and
J. B. Shearer A Turán inequality arising in information
theory . . . . . . . . . . . . . . . . . 931--934
Franz Peherstorfer Characterization of Positive Quadrature
Formulas . . . . . . . . . . . . . . . . 935--942
A. Verma and
V. K. Jain Some Transformations of Basic
Hypergeometric Functions. Part I . . . . 943--956
V. K. Jain Some Transformations of Basic
Hypergeometric Functions. Part II . . . 957--961
Edward G. Dunne and
Dale H. Mugler Analogies from complex analysis and heat
conduction for wave propagation . . . . 1--15
D. Hilhorst A nonlinear evolution problem arising in
the physics of ionized gases . . . . . . 16--39
C. A. Swanson Bounded positive solutions of semilinear
Schrödinger equations . . . . . . . . . . 40--47
Anne--Marie Lefevere A nonlinear boundary value problem
suggested by the Laplace equation for an
elastic and axisymmetric membrane . . . 48--60
F. A. Howes Differential inequalities of higher
order and the asymptotic solution of
nonlinear boundary value problems . . . 61--80
Melvin L. Heard An abstract parabolic Volterra
integro-differential equation . . . . . 81--105
N. A. Derzko and
S. P. Sethi General solution of the price-dividend
integral equation . . . . . . . . . . . 106--111
Lynn R. Williams and
Richard W. Leggett Nonzero solutions of nonlinear integral
equations modeling infectious disease 112--121
Lynn R. Williams and
Richard W. Leggett Unique and multiple solutions of a
family of differential equations
modeling chemical reactions . . . . . . 122--133
Nira Dyn and
Grace Wahba On the estimation of functions of
several variables from aggregated data 134--152
Marie-Thér\`ese Kohler-Jobin Symmetrization with Equal Dirichlet
Integrals . . . . . . . . . . . . . . . 153--161
Massimo Bruschi and
Paolo Emilio Ricci An Explicit Formula for $ f(\mathcal
{A}) $ and the Generating Functions of
the Generalized Lucas Polynomials . . . 162--165
Morris W. Hirsch Systems of differential equations which
are competitive or cooperative. I. Limit
sets . . . . . . . . . . . . . . . . . . 167--179
John J. Benedetto A closure problem for signals in
semigroup invariant systems . . . . . . 180--207
J. Hainzl On a General Concept for Separation of
Variables . . . . . . . . . . . . . . . 208--225
M. Renardy A quasilinear parabolic equation
describing the elongation of thin
filaments of polymeric liquids . . . . . 226--238
N. M. Temme The uniform asymptotic expansion of a
class of integrals related to cumulative
distribution functions . . . . . . . . . 239--253
A. Azzam and
E. Kreyszig On solutions of elliptic equations
satisfying mixed boundary conditions . . 254--262
Ahmed I. Zayed Laguerre Series as Boundary Values . . . 263--279
Manfred Sommer Characterization of continuous
selections of the metric projection for
a class of weak Chebyshev spaces . . . . 280--294
Ira Gessel and
Dennis Stanton Strange Evaluations of Hypergeometric
Series . . . . . . . . . . . . . . . . . 295--308
M. A. Kowalski The recursion formulas for orthogonal
polynomials in $n$ variables . . . . . . 309--315
M. A. Kowalski Orthogonality and recursion formulas for
polynomials in $n$ variables . . . . . . 316--323
Thomas P. Laine Projection formulas and a new proof of
the addition formula for the Jacobi
polynomials . . . . . . . . . . . . . . 324--330
J. H. B. Kemperman A Hurwitz Matrix is Totally Positive . . 331--341
Carl de Boor and
Joseph W. Jerome Professional Biography: Michael Golomb vii--xiv
Paul H. Rabinowitz Periodic solutions of Hamiltonian
systems: a survey . . . . . . . . . . . 343--352
H. F. Weinberger Long-Time Behavior of a Class of
Biological Models . . . . . . . . . . . 353--396
C. M. Dafermos Global smooth solutions to the
initial-boundary value problem for the
equations of one-dimensional nonlinear
thermoviscoelasticity . . . . . . . . . 397--408
D. D. Pence and
P. W. Smith Asymptotic properties of best $ L_p[0,
\, 1] $ approximation by splines . . . . 409--420
Michael Golomb and
Joseph Jerome Equilibria of the curvature functional
and manifolds of nonlinear interpolating
spline curves . . . . . . . . . . . . . 421--458
Ralph W. Carr and
Kenneth B. Hannsgen Resolvent formulas for a Volterra
equation in Hilbert space . . . . . . . 459--483
Peter A. Markowich A theory for the approximation of
solutions of boundary value problems on
infinite intervals . . . . . . . . . . . 484--513
Harold E. Benzinger Rayleigh--Schrödinger perturbation of
semigroups . . . . . . . . . . . . . . . 515--531
Martin Day Exponential leveling for stochastically
perturbed dynamical systems . . . . . . 532--540
J. F. Painter and
R. E. Meyer Turning-Point Connection at Close
Quarters . . . . . . . . . . . . . . . . 541--554
Y. Nishiura Global structure of bifurcating
solutions of some reaction-diffusion
systems . . . . . . . . . . . . . . . . 555--593
Karen A. Ames On the comparison of solutions of
related properly and improperly posed
Cauchy problems for first order operator
equations . . . . . . . . . . . . . . . 594--606
Dennis W. Brewer The differentiability with respect to a
parameter of the solution of a linear
abstract Cauchy problem . . . . . . . . 607--620
B. E. Willner and
T. J. Mahar The two-dimensional eigenvalue range and
extremal eigenvalue problems . . . . . . 621--631
Alan R. Elcrat Separated Flow Past a Plate with Spoiler 632--639
Hans Kemnitz Polynomial expansions for solutions of $
D_x^r u(x, \, t) = D_t u(x, \, t) $, $ r
= 2, \, 3, \, 4, \, \cdots $ . . . . . . 640--650
Richard Askey and
James Wilson A Set of Hypergeometric Orthogonal
Polynomials . . . . . . . . . . . . . . 651--655
Douglas A. Leonard Orthogonal polynomials, duality and
association schemes . . . . . . . . . . 656--663
Ahmed I. Zayed and
Gilbert G. Walter Series of Orthogonal Polynomials as
Hyperfunctions . . . . . . . . . . . . . 664--675
Louise A. Raphael The Stieltjes summability method and
summing Sturm--Liouville expansions . . 676--689
L. B. Rall Integration of interval functions. II.
The finite case . . . . . . . . . . . . 690--697
Bui An Ton On the existence and uniqueness of a
local classical solution of an
initial-boundary value problem for
incompressible nonhomogeneous viscous
fluids . . . . . . . . . . . . . . . . . 699--716
Patrick S. Hagan Traveling wave and multiple traveling
wave solutions of parabolic equations 717--738
W. E. Fitzgibbon Global existence and boundedness of
solutions to the extensible beam
equation . . . . . . . . . . . . . . . . 739--745
Charles V. Coffman On the structure of solutions $ \Delta^2
u = \lambda u $ which satisfy the
clamped plate conditions on a right
angle . . . . . . . . . . . . . . . . . 746--757
Jonathan Bell and
Chris Cosner and
Willy Bertiger Solutions for a Flux-Dependent Diffusion
Model . . . . . . . . . . . . . . . . . 758--769
A. H. Zemanian Nonuniform Semi-Infinite Grounded Grids 770--788
S. Gutman Compact perturbations of $m$-accretive
operators in general Banach spaces . . . 789--800
Hans Engler A version of the chain rule and
integro-differential equations in
Hilbert spaces . . . . . . . . . . . . . 801--810
J. M. Cushing Periodic Kolmogorov Systems . . . . . . 811--827
Stephen C. Persek Asymptotic stability and the method of
iterated averages for almost periodic
systems . . . . . . . . . . . . . . . . 828--841
Paul Binding Multiparameter Variational Principles 842--855
G. Edgar Parker and
Terry J. Walters Constructing solutions to $
\smallint_0^1 f(j) A(j, \, x) / f(x) \,
d j = \smallint_0^1 f(x) A(x, \, j) /
f(j) \, d j $ . . . . . . . . . . . . . 856--865
D. Leviatan and
H. N. Mhaskar The rate of monotone spline
approximation in the $ L_p $-norm . . . 866--874
Andrew Young and
Hassan Hamideh The Zeros of Certain Jacobi Polynomials 875--878
Ruth Azor and
J. Gillis and
J. D. Victor Combinatorial Applications of Hermite
Polynomials . . . . . . . . . . . . . . 879--890
S. A. Fulling The local geometric asymptotics of
continuum eigenfunction expansions. I.
Overview . . . . . . . . . . . . . . . . 891--912
Roger Lui A nonlinear integral operator arising
from a model in population genetics. I.
Monotone initial data . . . . . . . . . 913--937
Roger Lui A nonlinear integral operator arising
from a model in population genetics. II.
Initial data with compact support . . . 938--953
Gustaf Gripenberg Nonexistence of smooth solutions for
shearing flows in a nonlinear
viscoelastic fluid . . . . . . . . . . . 954--961
Kenneth B. Hannsgen and
Robert L. Wheeler Complete monotonicity and resolvents of
Volterra integro-differential equations 962--969
David Colton Runge's theorem and far field patterns
for the impedance boundary value problem
in acoustic wave propagation . . . . . . 970--977
Hans Volkmer Integral relations for Lamé functions . . 978--987
I. G. Macdonald Some Conjectures for Root Systems . . . 988--1007
Richard Askey A $q$-Beta Integral Associated with $
{BC}_1 $ . . . . . . . . . . . . . . . . 1008--1010
Tom H. Koornwinder Krawtchouk polynomials, a unification of
two different group theoretic
interpretations . . . . . . . . . . . . 1011--1023
Vitold Belevitch The Gauss hypergeometric ratio as a
positive real function . . . . . . . . . 1024--1040
David Elliott Orthogonal polynomials associated with
singular integral equations having a
Cauchy kernel . . . . . . . . . . . . . 1041--1052
D. Naylor and
P. H. Chang On a Formula of Inversion . . . . . . . 1053--1071
J. A. Sanders On the Fundamental Theorem of Averaging 1--10
Peter A. Markowich Analysis of boundary value problems on
infinite intervals . . . . . . . . . . . 11--37
J. J. Shepherd Concurrent flow in a bubble-column
reactor at high Péclet numbers . . . . . 38--46
J. Colby Kegley A global existence and uniqueness
theorem for a Riccati equation . . . . . 47--59
E. C. Tomastik Comparison theorems for second order
nonselfadjoint differential systems . . 60--65
P. Markowich and
M. Renardy A nonlinear Volterra
integro-differential equation describing
the stretching of polymeric liquids . . 66--97
John A. Burns and
Terry L. Herdman and
Harlan W. Stech Linear functional-differential equations
as semigroups on product spaces . . . . 98--116
Norimichi Hirano Local existence theorems for nonlinear
differential equations . . . . . . . . . 117--125
E. G. Kalnins and
Willard Miller, Jr. Conformal Killing tensors and variable
separation for Hamilton--Jacobi
equations . . . . . . . . . . . . . . . 126--137
R. O. Ayeni On the Blow up Problem for Semilinear
Heat Equations . . . . . . . . . . . . . 138--141
Catherine Bandle and
René P. Sperb Qualitative behavior and bounds in a
nonlinear plasma problem . . . . . . . . 142--151
J. B. Reade Eigenvalues of Positive Definite Kernels 152--157
Klaus Barbey Periodically Invariant Linear Systems 158--166
C. V. Pao Comparison and stability of solutions
for a neutron transport problem with
temperature feedback . . . . . . . . . . 167--184
Frank Deutsch and
Petar Kenderov Continuous selections and approximate
selection for set-valued mappings and
applications to metric projections . . . 185--194
Annie A. M. Cuyt A comparison of some multivariate
Padé-approximants . . . . . . . . . . . . 195--202
A. Clausing Type $t$ Entropy and Majorization . . . 203--208
S. Basu and
N. K. Bose Matrix Stieltjes Series and Network
Models . . . . . . . . . . . . . . . . . 209--222
L. B. Rall Mean Value and Taylor Forms in Interval
Analysis . . . . . . . . . . . . . . . . 223--238
Y. Yomdin On functions representable as a supremum
of a family of smooth functions . . . . 239--246
B. F. Logan Hilbert transform of a function having a
bounded integral and a bounded
derivative . . . . . . . . . . . . . . . 247--248
B. F. Logan Extremal problems for positive-definite
bandlimited functions. I. Eventually
positive functions with zero integral 249--252
B. F. Logan Extremal problems for positive-definite
bandlimited functions. II. Eventually
negative functions . . . . . . . . . . . 253--257
B. F. Logan Extremal problems for positive-definite
bandlimited functions. III. The maximum
number of zeros in an interval $ [0, \,
T] $ . . . . . . . . . . . . . . . . . . 258--268
B. F. Logan An integral equation connected with the
Jacobi polynomials . . . . . . . . . . . 269--322
L. J. Lange $ \delta $-Fraction Expansions of
Analytic Functions . . . . . . . . . . . 323--368
H. M. Srivastava A note on a multilinear generating
function for the Konhauser biorthogonal
polynomials . . . . . . . . . . . . . . 369--371
S. Ahmed and
Martin E. Muldoon Reciprocal power sums of differences of
zeros of special functions . . . . . . . 372--382
Andrea Laforgia and
Martin E. Muldoon Inequalities and approximations for
zeros of Bessel functions of small order 383--388
B. C. Carlson and
John L. Gustafson Total positivity of mean values and
hypergeometric functions . . . . . . . . 389--395
J. Gillis and
B. Reznick and
D. Zeilberger On Elementary Methods in Positivity
Theory . . . . . . . . . . . . . . . . . 396--398
Angelo B. Mingarelli and
Allan M. Krall Legendre type polynomials under an
indefinite inner product . . . . . . . . 399--402
Rupert Lasser Linearization of the product of
associated Legendre polynomials . . . . 403--408
George Gasper and
Mizan Rahman Positivity of the Poisson kernel for the
continuous $q$-ultraspherical
polynomials . . . . . . . . . . . . . . 409--420
James A. Murdock Some asymptotic estimates for higher
order averaging and a comparison with
iterated averaging . . . . . . . . . . . 421--424
S. P. Hastings and
A. B. Poore A nonlinear problem arising from
combustion theory: Li nán's problem . . . 425--430
Peter A. Markowich and
Richard Weiss Nonlinear Eigenvalue Problems on
Infinite Intervals . . . . . . . . . . . 431--449
R. E. Meyer and
J. F. Painter Connection for Wave Modulation . . . . . 450--462
G. J. Butler and
L. H. Erbe Nonlinear integral Riccati systems and
comparison theorems for linear
differential equations . . . . . . . . . 463--473
Man Kam Kwong and
James S. W. Wong On an Oscillation Theorem of Belohorec 474--476
James T. Sandefur, Jr. Existence and uniqueness of solutions of
second order nonlinear differential
equations . . . . . . . . . . . . . . . 477--487
J. B. McLeod and
P. J. Olver The connection between partial
differential equations soluble by
inverse scattering and ordinary
differential equations of Painlevé type 488--506
George C. Hsiao and
Kirk E. Jordan A numerical treatment for parabolic
equations with a small parameter . . . . 507--521
Michel Pierre Parabolic Capacity and Sobolev Spaces 522--533
David H. Wagner The Riemann problem in two space
dimensions for a single conservation law 534--559
A. Bamberger and
M. Schatzman New results on the vibrating string with
a continuous obstacle . . . . . . . . . 560--595
Richard D. Carmichael and
Stephen P. Richters Holomorphic functions in tubes which
have distributional boundary values and
which are $ H^p $ functions . . . . . . 596--621
Jeffrey S. Geronimo and
Paul G. Nevai Necessary and sufficient conditions
relating the coefficients in the
recurrence formula to the spectral
function for orthogonal polynomials . . 622--637
D. G. Aronson and
L. A. Caffarelli and
S. Kamin How an initially stationary interface
begins to move in porous medium flow . . 639--658
Peter N. Brown Decay to Uniform States in Competitive
Systems . . . . . . . . . . . . . . . . 659--673
Robert L. Sachs Completeness of derivatives of squared
Schrödinger eigenfunctions and explicit
solutions of the linearized KdV equation 674--683
Jong Uhn Kim Solutions to the equations of
one-dimensional viscoelasticity in BV 684--695
Gilles A. Francfort Homogenization and Linear
Thermoelasticity . . . . . . . . . . . . 696--708
Norio Yoshida Oscillation properties of solutions of
second order elliptic equations . . . . 709--718
J. L. Moseley Asymptotic solutions for a Dirichlet
problem with an exponential nonlinearity 719--735
Evan Eugene Twombly and
J. W. Thomas Bifurcating instability of the free
surface of a ferrofluid . . . . . . . . 736--766
David V. Finch and
Donald C. Solmon A characterization of the range of the
divergent beam x-ray transform . . . . . 767--771
Philip Hartman Asymptotic integration of ordinary
differential equations . . . . . . . . . 772--779
S. A. Fulling The local geometric asymptotics of
continuum eigenfunction expansions. II.
One-dimensional systems . . . . . . . . 780--795
B. H. Pourciau Global Properties of Proper Lipschitzian
Maps . . . . . . . . . . . . . . . . . . 796--799
A. Sharma and
P. Vértesi Mean Convergence and Interpolation in
Roots of Unity . . . . . . . . . . . . . 800--806
Joaquin Bustoz and
Mourad E. H. Ismail Turán inequalities for ultraspherical and
continuous $q$-ultraspherical
polynomials . . . . . . . . . . . . . . 807--818
C. Markett Cohen type inequalities for Jacobi,
Laguerre and Hermite expansions . . . . 819--833
K. F. Andersen and
H. P. Heinig Weighted norm inequalities for certain
integral operators . . . . . . . . . . . 834--844
B. F. Logan Erratum: ``Hilbert transform of a
function having a bounded integral and a
bounded derivative'' . . . . . . . . . . 845--845
Clark Robinson Sustained resonance for a nonlinear
system with slowly varying coefficients 847--860
Neil Fenichel Oscillatory bifurcations in singular
perturbation theory. I. Slow
oscillations . . . . . . . . . . . . . . 861--867
Neil Fenichel Oscillatory bifurcations in singular
perturbation theory. II. Fast
oscillations . . . . . . . . . . . . . . 868--874
Peter A. Markowich and
C. A. Ringhofer Systems of singular perturbation
problems with a first order turning
point . . . . . . . . . . . . . . . . . 875--896
Peter A. Markowich and
C. A. Ringhofer Singular perturbation problems with a
singularity of the second kind . . . . . 897--914
George Dassios and
Manoussos Grillakis Equipartition of Energy in Scattering
Theory . . . . . . . . . . . . . . . . . 915--924
Vasilios Alexiades and
Elias C. Aifantis Singular problems in the theory of
stress-assisted diffusion . . . . . . . 925--933
J. L. Moseley A two-dimensional Dirichlet problem with
an exponential nonlinearity . . . . . . 934--946
Fred Brauer Constant-rate harvesting of
age-structured populations . . . . . . . 947--961
Jed Chapin and
John L. B. Gamlen On the Rate of Convergence of Stopped
Random Walks . . . . . . . . . . . . . . 962--973
Keith B. Oldham The reformulation of an infinite sum via
semi-integration . . . . . . . . . . . . 974--981
James D. McCall Mean growth, $ H_p $ spaces and
subharmonic functions in the upper
half-plane . . . . . . . . . . . . . . . 982--986
Michel Mizony Une transformation de Laplace--Jacobi.
(French) [A Laplace--Jacobi
transformation] . . . . . . . . . . . . 987--1003
L. Mirsky An inequality of the Markov--Bernstein
type for polynomials . . . . . . . . . . 1004--1008
Annie A. M. Cuyt The $ \varepsilon $-algorithm and
Padé-approximants in operator theory . . 1009--1014
K. Soni A note on uniform asymptotic expansion
of incomplete Laplace integrals . . . . 1015--1018
H. J. Landau The inverse problem for the vocal tract
and the moment problem . . . . . . . . . 1019--1035
Martin Golubitsky and
Jerrold Marsden The Morse lemma in infinite dimensions
via singularity theory . . . . . . . . . 1037--1044
Michael Buchner and
Jerrold Marsden and
Stephen Schecter Examples for the Infinite Dimensional
Morse Lemma . . . . . . . . . . . . . . 1045--1055
Jerry Bona and
Ragnar Winther The Korteweg--de Vries equation, posed
in a quarter-plane . . . . . . . . . . . 1056--1106
David Terman A free boundary problem arising from a
bistable reaction-diffusion equation . . 1107--1129
Sze Bi Hsu Steady states of a system of partial
differential equations modeling
microbial ecology . . . . . . . . . . . 1130--1138
Howard A. Levine The quenching of solutions of linear
parabolic and hyperbolic equations with
nonlinear boundary conditions . . . . . 1139--1153
L. E. Payne and
G. A. Philippin Isoperimetric inequalities in the
torsion and clamped membrane problems
for convex plane domains . . . . . . . . 1154--1162
Giuseppe Chiti A bound for the ratio of the first two
eigenvalues of a membrane . . . . . . . 1163--1167
George C. Hsiao and
Richard J. Weinacht Singular perturbations for a semilinear
hyperbolic equation . . . . . . . . . . 1168--1179
S. J. L. van Eijndhoven and
J. de Graaf and
R. S. Pathak A Characterization of the Spaces $
\mathfrak {S}_{{1 / {k + 1}}}^{{k / {k +
1}}} $ by Means of Holomorphic
Semigroups . . . . . . . . . . . . . . . 1180--1186
Stig--Olof Londen On some integral equations with locally
finite measures and $ L^{\infty }
$-perturbations . . . . . . . . . . . . 1187--1203
Jerry L. Fields Uniform asymptotic expansions of a class
of Meijer $G$-functions for a large
parameter . . . . . . . . . . . . . . . 1204--1253
John Guckenheimer Multiple Bifurcation Problems of
Codimension Two . . . . . . . . . . . . 1--49
J. W. Bruce and
P. J. Giblin and
C. G. Gibson Caustics in Extended Euclidean Space . . 50--68
Bernie Greenspan and
Philip Holmes Repeated resonance and homoclinic
bifurcation in a periodically forced
family of oscillators . . . . . . . . . 69--97
Moody T. Chu On the global convergence of the Toda
lattice for real normal matrices and its
applications to the eigenvalue problem 98--104
Harry Hochstadt On the width of the instability
intervals of the Mathieu equation . . . 105--107
Stanly Steinberg Factored product expansions of solutions
of nonlinear differential equations . . 108--115
Jaromír \vSim\vsa Asymptotic Integration of Perturbed
Linear Differential Equations under
Conditions Involving Ordinary Integral
Convergence . . . . . . . . . . . . . . 116--123
Allan C. Peterson Boundary value problems for an $n$ th
order linear difference equation . . . . 124--132
G. Little and
J. B. Reade Eigenvalues of Analytic Kernels . . . . 133--136
J. B. Reade Eigenvalues of positive definite
kernels. II . . . . . . . . . . . . . . 137--142
Bruce C. Berndt and
Larry A. Goldberg Analytic properties of arithmetic sums
arising in the theory of the classical
theta functions . . . . . . . . . . . . 143--150
Michael G. Cowling and
John F. Price Bandwidth versus time concentration: the
Heisenberg--Pauli--Weyl inequality . . . 151--165
B. L. Granovsky and
Eli Passow Chebyshev Systems of Minimal Degree . . 166--169
A. J. E. M. Janssen A note on Hudson's theorem about
functions with nonnegative Wigner
distributions . . . . . . . . . . . . . 170--176
Frank M. Cholewinski Generalized Fock Spaces and Associated
Operators . . . . . . . . . . . . . . . 177--202
R. B. Paris An inequality for the Bessel function $
J_\nu (\nu x) $ . . . . . . . . . . . . 203--205
Árpád Elbert and
Andrea Laforgia On the Square of the Zeros of Bessel
Functions . . . . . . . . . . . . . . . 206--212
B. F. Logan Errata: ``An integral equation connected
with the Jacobi polynomials'' [SIAM J.
Math. Anal. \bf 14 (1983), no. 2,
269--322; MR 84f:45006] . . . . . . . . 213--213
George Bard Ermentrout and
Nancy Kopell Frequency plateaus in a chain of weakly
coupled oscillators. I . . . . . . . . . 215--237
M. Hurley and
C. Martin Newton's Algorithm and Chaotic Dynamical
Systems . . . . . . . . . . . . . . . . 238--252
Reinhard Schäfke A connection problem for a regular and
an irregular singular point of complex
ordinary differential equations . . . . 253--271
D. B. Hinton and
J. K. Shaw On boundary value problems for
Hamiltonian systems with two singular
points . . . . . . . . . . . . . . . . . 272--286
Ewa Weinmüller On the boundary value problem for
systems of ordinary second-order
differential equations with a
singularity of the first kind . . . . . 287--307
S. R. Grace and
B. S. Lalli Oscillation theorems for damped
differential equations of even order
with deviating arguments . . . . . . . . 308--316
Mark A. O'Donnell Boundary and corner layer behavior in
singularly perturbed semilinear systems
of boundary value problems . . . . . . . 317--332
Michael Renardy Singularly perturbed hyperbolic
evolution problems with infinite delay
and an application to polymer rheology 333--349
Chris Cosner Pointwise bounds for strongly coupled
time dependent systems of
reaction-diffusion equations . . . . . . 350--356
Masayoshi Tsutsumi Nonexistence of global solutions to the
Cauchy problem for the damped nonlinear
Schrödinger equations . . . . . . . . . . 357--366
Patrick Rabier A necessary and sufficient condition for
the coerciveness of a class of
functionals and its applications . . . . 367--388
B. F. Logan Integrals of High-Pass Functions . . . . 389--405
I. J. Zucker Some infinite series of exponential and
hyperbolic functions . . . . . . . . . . 406--413
W. A. Al-Salam and
A. Verma On Quadratic Transformations of Basic
Series . . . . . . . . . . . . . . . . . 414--421
Gerhard Dangelmayr and
Ian Stewart Classification and unfolding of
sequential bifurcations . . . . . . . . 423--445
E. J. Holder and
D. Schaeffer Boundary conditions and mode jumping in
the von Kármán equations . . . . . . . . . 446--458
A. H. Nasr A study of one-dimensional Schrödinger
equation with nonlocal potential . . . . 459--467
Robert L. Sachs A justification of the KdV approximation
to first order in the case of
$N$-soliton water waves in a canal . . . 468--489
Anthony W. Leung and
Gen Shun Chen Positive solutions for
temperature-dependent two-group neutron
flux equations: equilibria and
stabilities . . . . . . . . . . . . . . 490--499
John W. Barker Interactions of fast and slow waves in
problems with two time scales . . . . . 500--513
Marcy Barge Invariant manifolds and the onset of
reversal in the Rikitake two-disk dynamo 514--529
John Smillie Competitive and cooperative tridiagonal
systems of differential equations . . . 530--534
Richard W. Ziolkowski and
Georges A. Deschamps The asymptotic Poincaré lemma and its
applications . . . . . . . . . . . . . . 535--558
Hans Volkmer Integral representations for products of
Lamé functions by use of fundamental
solutions . . . . . . . . . . . . . . . 559--569
Kurt Kreith and
Taka\^si Kusano and
Norio Yoshida Oscillation properties of nonlinear
hyperbolic equations . . . . . . . . . . 570--578
Kenneth B. Hannsgen and
Robert L. Wheeler Uniform $ L^1 $ behavior in classes of
integro-differential equations with
completely monotonic kernels . . . . . . 579--594
R. C. Grimmer and
F. Kappel Series expansions for resolvents of
Volterra integro-differential equations
in Banach space . . . . . . . . . . . . 595--604
Michael B. Saxe and
Thomas O. Sherman Hilbert and Fourier Transforms on a
Sphere . . . . . . . . . . . . . . . . . 605--620
Alfred K. Louis Orthogonal function series expansions
and the null space of the Radon
transform . . . . . . . . . . . . . . . 621--633
Walter G. Kelley Boundary and interior layer phenomena
for singularly perturbed systems . . . . 635--641
P. W. Eloe and
Johnny Henderson Nonlinear boundary value problems and a
priori bounds on solutions . . . . . . . 642--647
Lawrence Turyn Perturbation of Periodic Boundary
Conditions . . . . . . . . . . . . . . . 648--655
Donald C. Benson A Prüfer transformation for Liénard's
equation . . . . . . . . . . . . . . . . 656--669
J. Ildefonso Diaz and
Jesús Hernández On the existence of a free boundary for
a class of reaction-diffusion systems 670--685
Atsushi Yoshikawa On the behavior of the solutions to the
Lamm equation of the ultracentrifuge . . 686--711
B. F. Logan On the Eigenvalues of a Certain Integral
Equation . . . . . . . . . . . . . . . . 712--717
Andrew Markoe Fourier inversion of the attenuated
x-ray transform . . . . . . . . . . . . 718--722
A. Grossmann and
J. Morlet Decomposition of Hardy functions into
square integrable wavelets of constant
shape . . . . . . . . . . . . . . . . . 723--736
B. C. Carlson and
Dorothy B. Shaffer Starlike and Prestarlike Hypergeometric
Functions . . . . . . . . . . . . . . . 737--745
Annie A. M. Cuyt The QD-algorithm for Padé-approximants in
operator theory . . . . . . . . . . . . 746--752
George Cybenko Restrictions of normal operators, Padé
approximation and autoregressive time
series . . . . . . . . . . . . . . . . . 753--767
George Gasper and
Mizan Rahman Product formulas of Watson, Bailey and
Bateman types and positivity of the
Poisson kernel for $q$-Racah polynomials 768--789
G. Nürnberger and
L. L. Schumaker and
M. Sommer and
H. Strauss Generalized Chebyshevian Splines . . . . 790--804
Lars Vretare Formulas for elementary spherical
functions and generalized Jacobi
polynomials . . . . . . . . . . . . . . 805--833
Y. Y. Feng and
D. X. Qi A Sequence of Piecewise Orthogonal
Polynomials . . . . . . . . . . . . . . 834--844
Jean C. Piquette and
A. L. Van Buren Technique for evaluating indefinite
integrals involving products of certain
special functions . . . . . . . . . . . 845--855
R. Moeckel Heteroclinic phenomena in the isosceles
three-body problem . . . . . . . . . . . 857--876
K. R. Meyer Scaling Hamiltonian Systems . . . . . . 877--889
Els van der Aa and
Ferdinand Verhulst Asymptotic integrability and periodic
solutions of a Hamiltonian system in
1:2:2-resonance . . . . . . . . . . . . 890--911
G. J. Butler and
V. Sree Hari Rao Some properties of second order linear
differential equations and perturbations
that preserve them . . . . . . . . . . . 912--921
Uri Elias Comparison theorems for disfocality and
disconjugacy of differential equations 922--931
William F. Trench Asymptotic integration of linear
differential equations subject to mild
integral conditions . . . . . . . . . . 932--942
Bruno Gabutti An existence theorem for a boundary
value problem related to that of Falkner
and Skan . . . . . . . . . . . . . . . . 943--956
Hans G. Kaper and
Man Kam Kwong and
Anton Zettl Regularizing transformations for certain
singular Sturm--Liouville boundary value
problems . . . . . . . . . . . . . . . . 957--963
Robert F. Millar The analytic Cauchy problem for fourth
order elliptic equations in two
independent variables . . . . . . . . . 964--978
Hajime Urakawa Numerical computations of the spectra of
the Laplacian on $7$-dimensional
homogeneous manifolds $ {\rm SU}(3) /
T(k, \, l)$ . . . . . . . . . . . . . . 979--987
John J. Benedetto A Local Uncertainty Principle . . . . . 988--995
David Colton and
Andreas Kirsch Dense sets and far field patterns in
acoustic wave propagation . . . . . . . 996--1006
Ray Redheffer Convergence of Fourier Series at a
Discontinuity . . . . . . . . . . . . . 1007--1009
Ronald J. Evans and
Dennis Stanton Asymptotic formulas for zero-balanced
hypergeometric series . . . . . . . . . 1010--1020
Franz Peherstorfer Characterization of quadrature formula.
II . . . . . . . . . . . . . . . . . . . 1021--1030
Erik A. van Doorn On oscillation properties and the
interval of orthogonality of orthogonal
polynomials . . . . . . . . . . . . . . 1031--1042
Marci Perlstadt A property of orthogonal polynomial
families with polynomial duals . . . . . 1043--1054
Jürgen Scheurle and
Jerrold Marsden Bifurcation to Quasi-Periodic Tori in
the Interaction of Steady State and Hopf
Bifurcations . . . . . . . . . . . . . . 1055--1074
Glen Richard Hall Resonance zones in two-parameter
families of circle homeomorphisms . . . 1075--1081
S. R. Grace and
B. S. Lalli and
C. C. Yeh Oscillation theorems for nonlinear
second order differential equations with
a nonlinear damping term . . . . . . . . 1082--1093
D. F. St. Mary On a Comparison Theorem of Hille for
Self-Adjoint Second Order Linear
Differential Systems . . . . . . . . . . 1094--1099
S. P. Sethi and
N. A. Derzko and
J. Lehoczky General solution of the stochastic
price-dividend integral equation: a
theory of financial valuation . . . . . 1100--1113
Ray Redheffer and
Reinhard Redlinger Quenching in time-delay systems: a
summary and a counterexample . . . . . . 1114--1124
Maria Elena Schonbek Existence of Solutions to Singular
Conservation Laws . . . . . . . . . . . 1125--1139
P. J. McKenna and
I. Lasiecka Some perturbation results and their
applications to stabilization of
hyperbolic systems . . . . . . . . . . . 1140--1152
Lorenza Diomeda and
Benedetta Lisena Boundary problems for the biharmonic
operator in a square with $ L^p $-data 1153--1168
Yu. A. Kaz\cprimemin On a polynomial basis in some spaces of
analytic functions . . . . . . . . . . . 1169--1176
Paul Nevai Asymptotics for Orthogonal Polynomials
Associated with $ \exp ( - x^4) $ . . . 1177--1187
Franz Peherstorfer On a sufficient condition for best $ L^1
$-approximation . . . . . . . . . . . . 1188--1195
R. B. Barrar and
H. L. Loeb Optimal Monosplines with a Maximal
Number of Zeros . . . . . . . . . . . . 1196--1204
D. Naylor On simplified asymptotic formulas for a
class of Mathieu functions . . . . . . . 1205--1213
R. Tremblay and
B. J. Fug\`ere Expansions of operators related to $ x D
$ and the fractional derivative . . . . 1214--1219
David A. Field Convergence Theorems for Matrix
Continued Fractions . . . . . . . . . . 1220--1227
M. L. Glasser Some Useful Properties of the Hilbert
Transform . . . . . . . . . . . . . . . 1228--1230
M. E. Muldoon and
R. Spigler Some Remarks on Zeros of Cylinder
Functions . . . . . . . . . . . . . . . 1231--1233
J. R. Kuttler A Nodal Line Theorem for the Sloshing
Problem . . . . . . . . . . . . . . . . 1234--1237
Neil Fenichel Global uniqueness in geometric singular
perturbation theory . . . . . . . . . . 1--6
H. Gingold An asymptotic decomposition method
applied to multi-turning point problems 7--27
Peter B. Percell and
Peter N. Brown Finite Determination of Bifurcation
Problems . . . . . . . . . . . . . . . . 28--46
John H. Maddocks Restricted quadratic forms and their
application to bifurcation and stability
in constrained variational principles 47--68
Gustaf Söderlind and
Robert M. M. Mattheij Stability and asymptotic estimates in
nonautonomous linear differential
systems . . . . . . . . . . . . . . . . 69--92
C. P. Boyer and
E. G. Kalnins and
P. Winternitz Separation of variables for the
Hamilton--Jacobi equation on complex
projective spaces . . . . . . . . . . . 93--109
William J. Hrusa Global existence and asymptotic
stability for a semilinear hyperbolic
Volterra equation with large initial
data . . . . . . . . . . . . . . . . . . 110--134
Reinhard Redlinger On Volterra's Population Equation with
Diffusion . . . . . . . . . . . . . . . 135--142
Guy Canadas Speed of propagation of solutions of a
linear integro-differential equation
with nonconstant coefficients . . . . . 143--147
J. T. Marti The least constant in Friedrichs'
inequality in one dimension . . . . . . 148--150
Rémi Sentis Study of the corrector of the eigenvalue
of a transport operator . . . . . . . . 151--166
B. F. Logan The norm of certain convolution
transforms on $ L_p $ spaces of entire
functions of exponential type . . . . . 167--179
Jacques Dutka On Some Gamma Function Inequalities . . 180--185
B. Nassrallah and
Mizan Rahman Projection formulas, a reproducing
kernel and a generating function for
$q$-Wilson polynomials . . . . . . . . . 186--197
Lloyd N. Trefethen and
Martin H. Gutknecht On convergence and degeneracy in
rational Padé and Chebyshev approximation 198--210
Norio Yoshida Forced Oscillations of Extensible Beams 211--220
E. G. Kalnins and
Willard Miller, Jr. Related Evolution Equations and Lie
Symmetries . . . . . . . . . . . . . . . 221--232
Paul E. Sacks Global behavior for a class of nonlinear
evolution equations . . . . . . . . . . 233--250
Carmen Cortazar and
Manuel Elgueta The asymptotic behaviour of the solution
of a nonlinear diffusion equation . . . 251--258
T. S. Angell and
R. E. Kleinman The Helmholtz equation with $ L_2 $
boundary values . . . . . . . . . . . . 259--278
Björn Gustafsson Applications of variational inequalities
to a moving boundary problem for
Hele--Shaw flows . . . . . . . . . . . . 279--300
P. E. Kloeden Global existence of classical solutions
in the dissipative shallow water
equations . . . . . . . . . . . . . . . 301--315
Stephen J. Willson On Coherent Growth of Configurations . . 316--330
S. P. Hastings and
A. B. Poore Liñán's Problem from Combustion Theory,
Part II . . . . . . . . . . . . . . . . 331--340
David C. Barnes Extremal Problems for Eigenvalues with
Applications to Buckling, Vibration and
Sloshing . . . . . . . . . . . . . . . . 341--357
Richard W. Ziolkowski $n$-series problems and the coupling of
electromagnetic waves to apertures: a
Riemann--Hilbert approach . . . . . . . 358--378
Hans Kemnitz Polynomial Expansions for Solutions of
the System $ D_{X_1}^k U(X_1, \cdots,
X_r) = D_{X_k} U(X_1, \cdots, X_r)^* $ 379--391
K. Soni and
R. P. Soni A Note on Summability and Asymptotics 392--404
H. G. Burchard and
K. Höllig $N$-width and entropy of $ H_p$-classes
in $ L_q( - 1, 1)$ . . . . . . . . . . . 405--421
Morris W. Hirsch Systems of differential equations that
are competitive or cooperative. II.
Convergence almost everywhere . . . . . 423--439
Taka\^si Kusano and
Charles A. Swanson Growth Properties of Stationary
Klein--Gordon Equations . . . . . . . . 440--446
Michael Shearer Elementary wave solutions of the
equations describing the motion of an
elastic string . . . . . . . . . . . . . 447--459
Wei Ming Ni and
Paul Sacks The number of peaks of positive
solutions of semilinear parabolic
equations . . . . . . . . . . . . . . . 460--471
Michael I. Weinstein Modulational stability of ground states
of nonlinear Schrödinger equations . . . 472--491
Christopher Beattie Convergence of essential spectra for
intermediate Hamiltonians . . . . . . . 492--499
Michael Böhm and
R. E. Showalter Diffusion in Fissured Media . . . . . . 500--509
Michel Langlais A nonlinear problem in age-dependent
population diffusion . . . . . . . . . . 510--529
Reza Malek-Madani and
John A. Nohel Formation of singularities for a
conservation law with memory . . . . . . 530--540
Gustaf Gripenberg An eigenvalue problem for a Volterra
integral operator with infinite delay 541--547
J. B. Reade On the sharpness of Weyl's estimate for
eigenvalues of smooth kernels . . . . . 548--550
W. R. Madych Limits of Dilated Convolution Transforms 551--558
A. Iserles Order stars, approximations and finite
differences. I. The general theory of
order stars . . . . . . . . . . . . . . 559--576
L. Auslander and
R. Tolimieri Radar Ambiguity Functions and Group
Theory . . . . . . . . . . . . . . . . . 577--601
Tom H. Koornwinder Matrix elements of irreducible
representations of $ {\rm SU}(2) \times
{\rm SU}(2) $ and vector-valued
orthogonal polynomials . . . . . . . . . 602--613
Árpád Elbert and
Andrea Laforgia On the Convexity of the Zeros of Bessel
Functions . . . . . . . . . . . . . . . 614--619
Audrey Terras Special functions for the symmetric
space of positive matrices . . . . . . . 620--640
Jack W. Silverstein The limiting eigenvalue distribution of
a multivariate $F$ matrix . . . . . . . 641--646
A. Verma and
V. K. Jain Some summation formulae for
nonterminating basic hypergeometric
series . . . . . . . . . . . . . . . . . 647--655
Peter B. Borwein Rational Interpolation to $ e^x $, II 656--662
M. J. Leitman On the asymptotic behavior of solutions
to kinetic equations . . . . . . . . . . 663--674
Hendrik J. Kuiper Generalized Operator Riccati Equations 675--694
W. Greenberg and
C. V. M. van der Mee An abstract model for radiative transfer
in an atmosphere with reflection by the
planetary surface . . . . . . . . . . . 695--702
José M. Moral Medina Linear Operators Related to
Time-Invariant Discrete Filters . . . . 703--712
Harold E. Benzinger Strong Resolvent Convergence of
Diffusion Operators . . . . . . . . . . 713--724
Ahmed I. Zayed and
Gilbert G. Walter On the singularities of singular
Sturm--Liouville expansions and an
associated class of elliptic PDEs . . . 725--740
William F. Trench Functional perturbations of second order
differential equations . . . . . . . . . 741--756
Jaromír \vSim\vsa The Condition of Ordinary Integral
Convergence in the Asymptotic Theory of
Linear Differential Equations With
Almost Constant Coefficients . . . . . . 757--769
Taka\^si Kusano and
Bhagat Singh Asymptotic Behavior of Solutions of a
Class of Higher Order Ordinary
Differential Equations . . . . . . . . . 770--784
A. Iserles Order stars, approximations and finite
differences. II. Theorems in
approximation theory . . . . . . . . . . 785--802
Avraham A. Melkman $n$-widths and optimal interpolation of
time- and band-limited functions. II . . 803--813
Ernst Hairer and
Arieh Iserles and
Syvert P. Nòrsett Rational approximations to the
exponential function with two complex
conjugate interpolation points . . . . . 814--821
Kenneth B. Howell Directionally dependent asymptotic
behavior of biharmonic functions with
applications to elasticity . . . . . . . 822--847
Mark A. Pinsky Completeness of the eigenfunctions of
the equilateral triangle . . . . . . . . 848--851
Rameshwar D. Gupta and
Donald St. P. Richards Hypergeometric functions of scalar
matrix argument are expressible in terms
of classical hypergeometric functions 852--858
Mizan Rahman and
Mihr J. Shah An infinite series with products of
Jacobi polynomials and Jacobi functions
of the second kind . . . . . . . . . . . 859--875
Jan Hrabowski Multiple Hypergeometric Functions and
Simple Lie Groups $ {\bf {\text {SL}}} $
and $ {\bf {\text {Sp}}} $ . . . . . . . 876--886
Jet Wimp Some explicit Padé approximants for the
function $ \Phi ' / \Phi $ and a related
quadrature formula involving Bessel
functions . . . . . . . . . . . . . . . 887--895
Avram Sidi Asymptotic expansions of Mellin
transforms and analogues of Watson's
lemma . . . . . . . . . . . . . . . . . 896--906
Joseph Gruendler The existence of homoclinic orbits and
the method of Mel\cprimenikov for
systems in $ \mathbf {R}^n $ . . . . . . 907--931
Gilbert Stengle Transcendental estimates for the
adiabatic variation of linear
Hamiltonian systems . . . . . . . . . . 932--940
Charles M. Elliott and
Avner Friedman Analysis of a model of percolation in a
gently sloping sand-bank . . . . . . . . 941--954
Luis A. Caffarelli and
Avner Friedman A nonlinear evolution problem associated
with an electropaint process . . . . . . 955--969
Thomas I. Vogel A free-boundary problem arising from a
galvanizing process . . . . . . . . . . 970--979
Michael Böhm and
R. E. Showalter A Nonlinear Pseudoparabolic Diffusion
Equation . . . . . . . . . . . . . . . . 980--999
H. O. Fattorini On the Schrödinger singular perturbation
problem . . . . . . . . . . . . . . . . 1000--1019
A. Iserles Order Stars, Approximations and Finite
Differences. III Finite Differences for
$ u_t = \omega u_{xx} $ . . . . . . . . 1020--1033
Olof J. Staffans Extended initial and forcing function
semigroups generated by a functional
equation . . . . . . . . . . . . . . . . 1034--1048
David Colton and
Rainer Kress Dense sets and far field patterns in
electromagnetic wave propagation . . . . 1049--1060
George Gasper Rogers' linearization formula for the
continuous $q$-ultraspherical
polynomials and quadratic transformation
formulas . . . . . . . . . . . . . . . . 1061--1071
B. C. Carlson and
John L. Gustafson Asymptotic Expansion of the First
Elliptic Integral . . . . . . . . . . . 1072--1092
Mourad E. H. Ismail On sieved orthogonal polynomials. I.
Symmetric Pollaczek analogues . . . . . 1093--1113
Andrew Markoe and
Eric Todd Quinto An elementary proof of local
invertibility for generalized and
attenuated Radon transforms . . . . . . 1114--1119
Isabel Salgado Labouriau Degenerate Hopf Bifurcation and Nerve
Impulse . . . . . . . . . . . . . . . . 1121--1133
Harlan W. Stech Nongeneric Hopf bifurcations in
functional-differential equations . . . 1134--1151
G. Fusco and
J. K. Hale Stable equilibria in a scalar parabolic
equation with variable diffusion . . . . 1152--1164
Jeffery Cooper and
Walter Strauss The initial boundary problem for the
Maxwell equations in the presence of a
moving body . . . . . . . . . . . . . . 1165--1179
Roger Lui A nonlinear integral operator arising
from a model in population genetics.
III. Heterozygote inferior case . . . . 1180--1206
Henri Berestycki and
Basil Nicolaenko and
Bruno Scheurer Traveling wave solutions to combustion
models and their singular limits . . . . 1207--1242
A. J. Roberts An Introduction to the Technique of
Reconstitution . . . . . . . . . . . . . 1243--1257
A. van Harten and
R. R. Van Hassel A Quasi-linear, Singular Perturbation
Problem of Hyperbolic Type . . . . . . . 1258--1267
Peter A. Markowich A nonlinear eigenvalue problem modelling
the avalanche effect in semiconductor
diodes . . . . . . . . . . . . . . . . . 1268--1283
David C. Barnes Extremal Problems for Eigenvalue
Functionals . . . . . . . . . . . . . . 1284--1294
J. C. F. De Oliveira and
L. A. V. Carvalho A Lyapunov Functional for a Retarded
Differential Equation . . . . . . . . . 1295--1305
Rong Hua Li A Theorem for the Uniform Boundedness of
a Family of Compact Operators . . . . . 1306--1308
J. L. Brenner A new set of polynomial means related to
the means of Maclaurin . . . . . . . . . 1309--1316
Walter Van Assche Weighted Zero Distribution for
Polynomials Orthogonal on an Infinite
Interval . . . . . . . . . . . . . . . . 1317--1334
J. de Sousa Pinto A Generalised Hankel Convolution . . . . 1335--1346
Angelo B. Mingarelli On the existence of conjugate points for
a second order ordinary differential
equation . . . . . . . . . . . . . . . . 1--6
Harry Gingold and
Po Fang Hsieh Global simplification of a singularly
perturbed almost diagonal system . . . . 7--18
G. J. Butler and
L. H. Erbe Oscillation results for second order
differential systems . . . . . . . . . . 19--29
E. C. Tomastik Comparison theorems for certain
differential systems of arbitrary order 30--37
José M. Ferreira On the Stability of a Distributed
Network . . . . . . . . . . . . . . . . 38--45
Olof J. Staffans Semigroups generated by a neutral
functional-differential equation . . . . 46--57
V. Hutson Stability in a Reaction-Diffusion Model
of Mutualism . . . . . . . . . . . . . . 58--66
Antonio Fasano and
Mario Primicerio A Parabolic-Hyperbolic Free Boundary
Problem . . . . . . . . . . . . . . . . 67--73
Gene A. Klaasen and
Enzo Mitidieri Standing wave solutions for a system
derived from the FitzHugh--Nagumo
equations for nerve conduction . . . . . 74--83
James F. Epperson Regularization for a class of nonlinear
evolution equations . . . . . . . . . . 84--90
Wayne Nagata and
James W. Thomas Bifurcation in doubly-diffusive systems.
I. Equilibrium solutions . . . . . . . . 91--113
Wayne Nagata and
James W. Thomas Bifurcation in doubly-diffusive systems.
II. Time periodic solutions . . . . . . 114--127
Robert Neff Bryan The generalized inverse of an unbounded
linear operator . . . . . . . . . . . . 128--131
W. W. Symes Linearization stability for an inverse
problem in several-dimensional wave
propagation . . . . . . . . . . . . . . 132--151
Roger Lui A nonlinear integral operator arising
from a model in population genetics. IV.
Clines . . . . . . . . . . . . . . . . . 152--168
Carlo Domenico Pagani Stability of a surface determined from
measures of potential . . . . . . . . . 169--181
D. B. Hinton and
J. K. Shaw Absolutely continuous spectra of second
order differential operators with short
and long range potentials . . . . . . . 182--196
Kenneth B. Howell Asymptotic Behavior of Periodic Strain
States . . . . . . . . . . . . . . . . . 197--219
L. R. Bragg Quasi-inner products of analytic
functions with applications to special
functions . . . . . . . . . . . . . . . 220--230
John A. Pfaltzgraff Univalence constraints on the
Schwarz--Christoffel parameters . . . . 231--235
Y. Yomdin Critical values and representation of
functions by means of compositions . . . 236--239
Marci Perlstadt Polynomial analogues of prolate
spheroidal wave functions and
uncertainty . . . . . . . . . . . . . . 240--248
Martin Golubitsky and
Ian Stewart Symmetry and Stability in
Taylor--Couette Flow . . . . . . . . . . 249--288
Wayne Nagata and
James W. Thomas Bifurcations in doubly-diffusive
systems. III. Interaction of equilibrium
and time periodic solutions . . . . . . 289--311
Ernesto Buzano Secondary bifurcations of a thin rod
under axial compression . . . . . . . . 312--321
Thomas Hagstrom and
H. B. Keller Exact boundary conditions at an
artificial boundary for partial
differential equations in cylinders . . 322--341
Carol L. McTaggart and
Brian Straughan Chemical surface reactions and nonlinear
stability by the method of energy . . . 342--351
A. van Harten On the spectral properties of a class of
elliptic functional-differential
operators arising in feedback control
theory for diffusion processes . . . . . 352--383
Charles V. Coffman On the construction of series solutions
to the first biharmonic boundary value
problem on a rectangle . . . . . . . . . 384--402
Norimichi Hirano Abstract nonlinear Volterra equations
with positive kernels . . . . . . . . . 403--414
Chung Wei Ha Eigenvalues of differentiable positive
definite kernels . . . . . . . . . . . . 415--419
J. B. Reade Positive Definite $ {C}^p $ Kernels . . 420--421
W. G. C. Boyd and
T. M. Dunster Uniform asymptotic solutions of a class
of second-order linear differential
equations having a turning point and a
regular singularity, with an application
to Legendre functions . . . . . . . . . 422--450
Shuenn Jyi Sheu Asymptotic behavior of the invariant
density of a diffusion Markov process
with small diffusion . . . . . . . . . . 451--460
P. J. Forrester and
J. B. Rogers Electrostatics and the zeros of the
classical polynomials . . . . . . . . . 461--468
J. B. Reade On the Order of Magnitude of Fourier
Coefficients . . . . . . . . . . . . . . 469--476
Stevan Pilipovi\'c Generalization of Zemanian Spaces of
Generalized Functions which Have
Orthonormal Series Expansions . . . . . 477--484
S. J. L. van Eijndhoven and
J. de Graaf Analyticity spaces of selfadjoint
operators subjected to perturbations
with applications to Hankel invariant
distribution spaces . . . . . . . . . . 485--494
Jan A. Sanders and
Richard Cushman Limit Cycles in the Josephson Equation 495--511
K. Nipp Breakdown of stability in singularly
perturbed autonomous systems. I. Orbit
equations . . . . . . . . . . . . . . . 512--532
Francine Diener Sauts des solutions des équations $
\epsilon \ddot x = f(t, x, \dot x) $.
(French) [Jumps of solutions of
equations of the type $ \epsilon \ddot x
= f(t, x, \dot x) $] . . . . . . . . . . 533--559
Christian Schmeiser and
Richard Weiss Asymptotic analysis of singular
singularly perturbed boundary value
problems . . . . . . . . . . . . . . . . 560--579
Jens Lorenz and
Richard Sanders Second order nonlinear singular
perturbation problems with boundary
conditions of mixed type . . . . . . . . 580--594
D. R. Dunninger and
J. C. Kurtz A priori bounds and existence of
positive solutions for singular
nonlinear boundary value problems . . . 595--609
Peter Knabner A free boundary problem arising from the
leaching of saline soils . . . . . . . . 610--625
David Kinderlehrer A relation between semi-inverse and
Saint--Venant solutions for prisms . . . 626--640
Atsushi Yoshikawa On the behavior of the solutions to the
Lamm equation of the ultracentrifuge. II 641--645
Gregory John Reid $R$-separation for heat and Schrödinger
equations. I . . . . . . . . . . . . . . 646--687
G. Valent An integral transform involving Heun
functions and a related eigenvalue
problem . . . . . . . . . . . . . . . . 688--703
Ch. Lubich Discretized Fractional Calculus . . . . 704--719
F. J. Wilson The representation of functions as
Laplace and Laplace--Stieltjes
transforms . . . . . . . . . . . . . . . 720--733
Roger W. Barnard and
Wayne T. Ford and
Hsing Y. Wang On Zeros of Interpolating Polynomials 734--744
Attila MáTé and
Paul Nevai and
Vilmos Totik Asymptotics for the greatest zeros of
orthogonal polynomials . . . . . . . . . 745--751
Joanne Dombrowski and
Paul Nevai Orthogonal polynomials, measures and
recurrence relations . . . . . . . . . . 752--759
Bernhard Ruf and
Sergio Solimini On a class of superlinear
Sturm--Liouville problems with
arbitrarily many solutions . . . . . . . 761--771
Hans G. Kaper and
Man Kam Kwong and
Anton Zettl Characterizations of the Friedrichs
extensions of singular Sturm--Liouville
expressions . . . . . . . . . . . . . . 772--777
C. P. Boyer and
E. G. Kalnins and
W. Miller, Jr. Stäckel-equivalent integrable Hamiltonian
systems . . . . . . . . . . . . . . . . 778--797
Peter A. Clarkson and
J. Bryce McLeod and
Peter J. Olver and
Alfred Ramani Integrability of Klein--Gordon Equations 798--802
C. Jones and
T. Küpper On the infinitely many solutions of a
semilinear elliptic equation . . . . . . 803--835
Djairo G. de Figueiredo and
Enzo Mitidieri A maximum principle for an elliptic
system and applications to semilinear
problems . . . . . . . . . . . . . . . . 836--849
Robert Stephen Cantrell and
Klaus Schmitt On the eigenvalue problem for coupled
elliptic systems . . . . . . . . . . . . 850--862
M. Bertsch and
D. Hilhorst A density dependent diffusion equation
in population dynamics: stabilization to
equilibrium . . . . . . . . . . . . . . 863--883
Eitan Tadmor The well-posedness of the
Kuramoto--Sivashinsky equation . . . . . 884--893
M. Renardy and
D. D. Joseph Hopf Bifurcation in Two-Component Flow 894--910
Bernold Fiedler Global Hopf bifurcation for Volterra
integral equations . . . . . . . . . . . 911--932
C. V. M. van der Mee and
V. Protopopescu Kinetic equations with reflecting
boundary conditions . . . . . . . . . . 933--944
A. Fasano and
G. H. Meyer and
M. Primicerio On a problem in the polymer industry:
theoretical and numerical investigation
of swelling . . . . . . . . . . . . . . 945--960
Y. Yomdin On functions representable as a supremum
of a family of smooth functions. II . . 961--969
George Gasper and
Mizan Rahman Positivity of the Poisson kernel for the
continuous $q$-Jacobi polynomials and
some quadratic transformation formulas
for basic hypergeometric series . . . . 970--999
Shafique Ahmed and
Martin E. Muldoon and
Renato Spigler Inequalities and numerical bounds for
zeros of ultraspherical polynomials . . 1000--1007
Árpád Elbert and
Andrea Laforgia A note to the paper of Ahmed, Muldoon
and Spigler . . . . . . . . . . . . . . 1008--1009
C. Markett A new proof of Watson's product formula
for Laguerre polynomials via a Cauchy
problem associated with a singular
differential operator . . . . . . . . . 1010--1032
Jean C. Piquette An analytical expression for
coefficients arising when implementing a
technique for indefinite integration of
products of special functions . . . . . 1033--1035
Stanis\law Lewanowicz Recurrence Relations for the
Coefficients in Jacobi Series Solutions
of Linear Differential Equations . . . . 1037--1052
Hal L. Smith Invariant Curves for Mappings . . . . . 1053--1067
K. Nipp Breakdown of stability in singularly
perturbed autonomous systems. II.
Estimates for the solutions and
application . . . . . . . . . . . . . . 1068--1085
Theo Kurth and
Dieter Schmidt On the global representation of the
solutions of second-order linear
differential equations having an
irregular singularity of rank one in $
\infty $ by series in terms of confluent
hypergeometric functions . . . . . . . . 1086--1103
W. J. Kim Disconjugacy and comparison theorems for
second-order linear systems . . . . . . 1104--1112
A. Visintin Evolution problems with hysteresis in
the source term . . . . . . . . . . . . 1113--1138
J.-M. Ghidaglia On the fractal dimension of attractors
for viscous incompressible fluid flows 1139--1157
J. Blum and
T. Gallouët and
J. Simon Existence and control of plasma
equilibrium in a tokamak . . . . . . . . 1158--1177
W. B. Lindquist The scalar Riemann problem in two
spatial dimensions: piecewise smoothness
of solutions and its breakdown . . . . . 1178--1197
K.-H. Hoffmann and
J. Sprekels On the identification of parameters in
general variational inequalities by
asymptotic regularization . . . . . . . 1198--1217
Burnett Meyer Real Continued Fractions and Asymptotic
Expansions . . . . . . . . . . . . . . . 1218--1221
Avram Sidi Borel summability and converging factors
for some everywhere divergent series . . 1222--1231
K. S. Kölbig Nielsen's Generalized Polylogarithms . . 1232--1258
Gong Li Zhang $p$-Ary Sequency and Orderings of the
Chrestenson Functions . . . . . . . . . 1259--1266
Mizan Rahman Another conjectured $q$-Selberg integral 1267--1279
Mizan Rahman $q$-Wilson functions of the second kind 1280--1286
Richard D. Carmichael Erratum and addendum: ``Analytic
functions related to the distributions
of exponential growth'' [SIAM J. Math.
Anal. \bf 10 (1979), no. 5, 1041--1068;
MR 82d:46059] . . . . . . . . . . . . . 1287--1288
Hal L. Smith Periodic solutions of periodic
competitive and cooperative systems . . 1289--1318
M. Fürkotter and
H. M. Rodrigues Periodic solutions of forced nonlinear
second order equations: symmetry and
bifurcations . . . . . . . . . . . . . . 1319--1331
D. C. Hart and
A. C. Lazer and
P. J. McKenna Multiplicity of solutions of nonlinear
boundary value problems . . . . . . . . 1332--1338
J. Blat and
K. J. Brown Global bifurcation of positive solutions
in some systems of elliptic equations 1339--1353
Allan Bennett Symmetry in an overdetermined fourth
order elliptic boundary value problem 1354--1358
Sônia M. Gomes On a Singular Nonlinear Elliptic Problem 1359--1369
Rainer Janßen Elliptic Problems on Unbounded Domains 1370--1389
Michel Chipot and
Mitchell Luskin Existence and uniqueness of solutions to
the compressible Reynolds lubrication
equation . . . . . . . . . . . . . . . . 1390--1399
William W. Symes On the relation between coefficient and
boundary values for solutions of
Webster's horn equation . . . . . . . . 1400--1420
Hédy Attouch and
Alain Damlamian Homogenization for a Volterra Equation 1421--1433
Jean Duchon and
Raoul Robert A nonlinear singular
integro-differential equation arising in
surface chemistry . . . . . . . . . . . 1434--1446
W. R. Madych and
S. A. Nelson Reconstruction from restricted Radon
transform data: resolution and
ill-conditionedness . . . . . . . . . . 1447--1453
Dennis Stanton Sign Variations of the Macdonald
Identities . . . . . . . . . . . . . . . 1454--1460
Mizan Rahman and
Arun Verma Product and addition formulas for the
continuous $q$-ultraspherical
polynomials . . . . . . . . . . . . . . 1461--1474
Mourad E. H. Ismail Asymptotics of the Askey--Wilson and
$q$-Jacobi polynomials . . . . . . . . . 1475--1482
Árpád Elbert and
Andrea Laforgia Monotonicity properties of the zeros of
Bessel functions . . . . . . . . . . . . 1483--1488
E. C. Obi The summability significance of roots of
Bessel functions . . . . . . . . . . . . 1489--1494
T. M. Dunster Uniform asymptotic expansions for
prolate spheroidal functions with large
parameters . . . . . . . . . . . . . . . 1495--1524
Russell A. Johnson and
Kenneth J. Palmer and
George R. Sell Ergodic Properties of Linear Dynamical
Systems . . . . . . . . . . . . . . . . 1--33
G. Cicogna Simple criteria for stable bifurcating
periodic solutions of O.D.E.s . . . . . 34--45
Allan Finkel and
Eli Isaacson and
Eugene Trubowitz An explicit solution of the inverse
periodic problem for Hill's equation . . 46--53
John W. Hooker and
Man Kam Kwong and
William T. Patula Oscillatory second order linear
difference equations and Riccati
equations . . . . . . . . . . . . . . . 54--63
O. Arino and
G. Ladas and
Y. G. Sficas On oscillations of some retarded
differential equations . . . . . . . . . 64--73
M. Gyllenberg and
H. J. A. M. Heijmans An abstract delay-differential equation
modelling size dependent cell growth and
division . . . . . . . . . . . . . . . . 74--88
Jong Uhn Kim Weak solutions of an initial-boundary
value problem for an incompressible
viscous fluid with nonnegative density 89--96
Alain Bamberger and
Laurence Halpern Étude des états stationnaires pour une
équation de Schrödinger non linéaire
comportant un terme non autonome.
(French) [Study of stationary states for
a nonlinear Schrödinger equation with a
nonautonomous term] . . . . . . . . . . 97--126
F. A. Howes Shock layers in perturbed systems
related to steady conservation laws . . 127--136
Ahmed Benaouda and
Monique Madaune Tort Singular perturbations for nonlinear
hyperbolic-parabolic problems . . . . . 137--148
Miguel A. Herrero and
Juan L. Vázquez The one-dimensional nonlinear heat
equation with absorption: regularity of
solutions and interfaces . . . . . . . . 149--167
Stig-Olof Londen A Volterra Equation with $ L^2
$-Solutions . . . . . . . . . . . . . . 168--171
Robert Gardner Solutions of a nonlocal conservation law
arising in combustion theory . . . . . . 172--183
Sat Nam S. Khalsa Application of topological techniques to
the analysis of asymptotic behavior of
numerical solutions of a
reaction-diffusion equation . . . . . . 184--190
Laura Chihara On the zeros of the Askey--Wilson
polynomials, with applications to coding
theory . . . . . . . . . . . . . . . . . 191--207
Persi Diaconis and
Mehrdad Shahshahani Time to reach stationarity in the
Bernoulli--Laplace diffusion model . . . 208--218
Gilbert G. Walter and
Ahmed J. Zayed Real singularities of singular
Sturm--Liouville expansions . . . . . . 219--227
W. A. Al-Salam and
T. S. Chihara $q$-Pollaczek polynomials and a
conjecture of Andrews and Askey . . . . 228--242
Mourad E. H. Ismail and
Fuad S. Mulla On the Generalized Chebyshev Polynomials 243--258
M. Clutton-Brock Generalized Fejér and Lánczos kernels . . 259--272
C. L. Frenzen On the Asymptotic Expansion of Mellin
Transforms . . . . . . . . . . . . . . . 273--282
Georges Iffland Positive solution of a problem of
Emden--Fowler type with a free boundary 283--292
Johnny Henderson Best interval lengths for boundary value
problems for third order Lipschitz
equations . . . . . . . . . . . . . . . 293--305
Jens Lorenz and
Richard Sanders On the rate of convergence of viscosity
solutions for boundary value problems 306--320
Albert J. DeSanti Nonmonotone interior layer theory for
some singularly perturbed quasilinear
boundary value problems with turning
points . . . . . . . . . . . . . . . . . 321--331
William C. Troy The existence of bounded solutions of a
semilinear heat equation . . . . . . . . 332--336
Stuart S. Antman and
Michael Reeken The drawing and whirling of strings:
singular global multiparameter
bifurcation problems . . . . . . . . . . 337--365
G. S. Jordan and
Olof J. Staffans and
Robert L. Wheeler Convolution operators in a fading memory
space: the critical case . . . . . . . . 366--386
George Seifert Nonlinear evolution equations with
almost periodic time dependence . . . . 387--392
B. Mercier Application of accretive operators
theory to the radiative transfer
equations . . . . . . . . . . . . . . . 393--408
Constantine M. Dafermos Estimates for conservation laws with
little viscosity . . . . . . . . . . . . 409--421
S. P. Hastings and
W. C. Troy Oscillating solutions of the
Falkner--Skan equation for negative $
\beta $ . . . . . . . . . . . . . . . . 422--429
Philip W. Schaefer Solution, gradient, and Laplacian bounds
in some nonlinear fourth order elliptic
equations . . . . . . . . . . . . . . . 430--434
A. Damlamian and
M. Vogelius Homogenization limits of the equations
of elasticity in thin domains . . . . . 435--451
E. L. Ortiz and
A. Pham Ngoc Dinh Linear recursive schemes associated with
some nonlinear partial differential
equations in one dimension and the tau
method . . . . . . . . . . . . . . . . . 452--464
Michael Reach Recursion relations for solutions to the
Schrödinger equation . . . . . . . . . . 465--472
A. E. DeGance and
L. E. Johns Infinite sums in the theory of
dispersion of chemically reactive solute 473--485
Ray Redheffer and
Alexander Voigt An elementary inequality for which
equality holds in an
infinite-dimensional set . . . . . . . . 486--489
P. Dörfler New Inequalities of Markov Type . . . . 490--494
R. A. Gustafson A Whipple's transformation for
hypergeometric series in $ {\rm U}(n) $
and multivariable hypergeometric
orthogonal polynomials . . . . . . . . . 495--530
D. S. Lubinsky and
A. Máté and
P. Nevai Quadrature sums involving $p$ th powers
of polynomials . . . . . . . . . . . . . 531--544
K. Aomoto Jacobi polynomials associated with
Selberg integrals . . . . . . . . . . . 545--549
B. C. Carlson Dirichlet averages of $ x^t \log x $ . . 550--565
Wai Chan and
Frank Proschan and
Jayaram Sethuraman Schur--Ostrowski theorems for
functionals on $ L_1 (0, 1) $ . . . . . 566--578
Jack Carr and
Jan A. Sanders and
Stephan A. van Gils Nonresonant Bifurcations with Symmetry 579--591
Stephen Wiggins and
Philip Holmes Periodic Orbits in Slowly Varying
Oscillators . . . . . . . . . . . . . . 592--611
Stephen Wiggins and
Philip Holmes Homoclinic Orbits in Slowly Varying
Oscillators . . . . . . . . . . . . . . 612--629
Daniel J. O'Regan Topological transversality: applications
to third order boundary value problems 630--641
Janusz Mierczy\'nski Strictly Cooperative Systems with a
First Integral . . . . . . . . . . . . . 642--646
L. Hsiao and
Y. Su and
Z. P. Xin On the asymptotic behavior of solutions
of a reacting--diffusing system: a two
predators--one prey model . . . . . . . 647--669
Luis T. Magalhães Presistence and Smoothness of Hyperbolic
Invariant Manifolds for Functional
Differential Equations . . . . . . . . . 670--693
Gustaf Gripenberg On Periodic Solutions of a Thermostat
Equation . . . . . . . . . . . . . . . . 694--702
Chris Cosner Existence of global solutions to a model
of a myelinated nerve axon . . . . . . . 703--710
Avner Friedman and
Andrew A. Lacey The blow-up time for solutions of
nonlinear heat equations with small
diffusion . . . . . . . . . . . . . . . 711--721
Hamid Bellout A criterion for blow-up of solutions to
semilinear heat equations . . . . . . . 722--727
C. J. van Duyn and
J. M. de Graaf Limiting profiles in contaminant
transport through porous media . . . . . 728--743
Selwyn L. Hollis and
Robert H. Martin, Jr. and
Michel Pierre Global existence and boundedness in
reaction-diffusion systems . . . . . . . 744--761
Benjamin F. Esham, Jr. Asymptotics and an asymptotic Galerkin
method for hyperbolic-parabolic singular
perturbation problems . . . . . . . . . 762--776
Avner Friedman and
Björn Gustafsson Identification of the conductivity
coefficient in an elliptic equation . . 777--787
Viviana Marquez and
Meir Shillor The Electropainting Problem with
Overpotentials . . . . . . . . . . . . . 788--811
C.-M. Brauner and
W. Eckhaus and
M. Garbey and
A. van Harten Asymptotics of a rather unusual type in
a free boundary problem . . . . . . . . 812--841
Jerome A. Goldstein and
James T. Sandefur, Jr. An abstract d'Alembert formula . . . . . 842--856
Piermarco Cannarsa and
Vincenzo Vespri Generation of analytic semigroups by
elliptic operators with unbounded
coefficients . . . . . . . . . . . . . . 857--872
Jerry L. Fields and
Waleed A. Al-Salam A Differential-Difference Equation . . . 873--879
Doron Zeilberger A proof of the $ G_2 $ case of
Macdonald's root system-Dyson conjecture 880--883
Wolfgang Bühring An analytic continuation of the
hypergeometric series . . . . . . . . . 884--889
C. L. Frenzen Error bounds for asymptotic expansions
of the ratio of two gamma functions . . 890--896
G. F. Webb and
A. Grabosch Asynchronous exponential growth in
transition probability models of the
cell cycle . . . . . . . . . . . . . . . 897--908
A. G. Miamee On determining the predictor of
nonfull-rank multivariate stationary
random processes . . . . . . . . . . . . 909--918
G. W. Johnson and
D. L. Skoug A stochastic integration formula for
two-parameter Wiener $ \times $
two-parameter Wiener space . . . . . . . 919--932
David C. Barnes Some approximation formulas for
stochastic eigenvalues . . . . . . . . . 933--940
Bonita Hart Driscoll Eigenvalues on a domain with discrete
rotational symmetry . . . . . . . . . . 941--953
Henning Wiebers The exact number of solutions of finite
difference approximations of some
nonlinear elliptic boundary value
problems . . . . . . . . . . . . . . . . 954--965
John C. Clements and
L. J. Leon A fast, accurate algorithm for the
isometric mapping of a developable
surface . . . . . . . . . . . . . . . . 966--971
Hans Engler On the dynamic shear flow problem for
viscoelastic liquids . . . . . . . . . . 972--990
Amy Cohen and
Thomas Kappeler Solutions to the Korteweg--de Vries
equation with initial profile in $ L^1_1
(\mathbf {R}) \cap L^1_N(\mathbf {R}^+)
$ . . . . . . . . . . . . . . . . . . . 991--1025
C. V. Pao On a coupled reaction diffusion system
with time delays . . . . . . . . . . . . 1026--1039
Robert Wolfe and
Hedley C. Morris Chaotic solutions of systems of first
order partial differential equations . . 1040--1063
F. Gesztesy and
G. Karner On Three-Body Scattering Near Thresholds 1064--1086
M. A. Al-Bassam and
H. L. Manocha Lie theory of solutions of certain
differintegral equations . . . . . . . . 1087--1100
Stephen L. Campbell A general form for solvable linear time
varying singular systems of differential
equations . . . . . . . . . . . . . . . 1101--1115
Patrick Rabier A synthetic study of one-parameter
nonlinear problems . . . . . . . . . . . 1116--1141
Stephen Schecter The Saddle-Node Separatrix-Loop
Bifurcation . . . . . . . . . . . . . . 1142--1156
J. Bebernes and
W. Troy Nonexistence for the Kassoy Problem . . 1157--1162
S. Bonan and
D. S. Lubinsky and
P. Nevai Orthogonal Polynomials and Their
Derivatives, II . . . . . . . . . . . . 1163--1176
Jairo A. Charris and
Mourad E. H. Ismail On sieved orthogonal polynomials. V.
Sieved Pollaczek polynomials . . . . . . 1177--1218
E. C. Obi Corrigenda: ``The summability
significance of roots of Bessel
functions'' . . . . . . . . . . . . . . 1219--1219
Willard Miller, Jr. A Note on Wilson Polynomials . . . . . . 1221--1226
Wolfgang Bühring The behavior at unit argument of the
hypergeometric function ${}_3 F_2$ . . . 1227--1234
Elgin H. Johnston Faber Expansions of Rational and Entire
functions . . . . . . . . . . . . . . . 1235--1247
Tryphon T. Georgiou A topological approach to
Nevanlinna--Pick interpolation . . . . . 1248--1260
Jerrold Marsden and
Jürgen rgen Scheurle The construction and smoothness of
invariant manifolds by the deformation
method . . . . . . . . . . . . . . . . . 1261--1274
Harry Gingold and
Po-Fang Hsieh Global approximation of perturbed
Hamiltonian differential equations with
several turning points . . . . . . . . . 1275--1293
James Damon Time dependent nonlinear oscillations
with many periodic solutions . . . . . . 1294--1316
James S. Muldowney The Converse of Pólya's Mean Value
Theorem . . . . . . . . . . . . . . . . 1317--1322
G. S. Jordan and
Olof J. Staffans and
Robert L. Wheeler Subspaces of stable and unstable
solutions of a functional-differential
equation in a fading memory space: the
critical case . . . . . . . . . . . . . 1323--1340
Alessandra Lunardi Local stability results for the elastic
beam equation . . . . . . . . . . . . . 1341--1366
Kjell Holmåker Some mathematical aspects on a problem
of the optimal design of a vibrating
beam . . . . . . . . . . . . . . . . . . 1367--1377
Carmen Chicone and
Jürgen Gerlach A note on the identifiability of
distributed parameters in elliptic
equations . . . . . . . . . . . . . . . 1378--1384
Carmen Cortazar and
Manuel Elgueta Existence of generalized solutions of a
nonlinear diffusion Cauchy problem . . . 1385--1393
James A. Cochran Three-dimensional temperature response
to impulsive input outside a spherical
reservoir . . . . . . . . . . . . . . . 1394--1405
C. M. Brauner and
Cl. Schmidt-Lainé Existence of a solution to a certain
plane premixed flame problem with
two-step kinetics . . . . . . . . . . . 1406--1415
Jan Soko\lowski and
Jean-Paul Zolésio Shape Sensitivity Analysis of Unilateral
Problems . . . . . . . . . . . . . . . . 1416--1437
A. Solomon and
V. Alexiades and
D. G. Wilson The initial velocity of the emerging
free boundary in a two-phase Stefan
problem with imposed flux . . . . . . . 1438--1452
Nicholas D. Alikakos and
K. C. Shaing On the Singular Limit for a Class of
Problems Modelling Phase Transitions . . 1453--1462
Shiva Shankar Filippov Solutions to Singular
Differential Equations . . . . . . . . . 1463--1466
Shagi-Di Shih and
R. Bruce Kellogg Asymptotic analysis of a singular
perturbation problem . . . . . . . . . . 1467--1511
Peter Henrici A Triple Product Theorem for
Hypergeometric Series . . . . . . . . . 1513--1518
A. K. Agarwal and
E. G. Kalnins and
Willard Miller, Jr. Canonical equations and symmetry
techniques for $q$-series . . . . . . . 1519--1538
Kevin W. J. Kadell A probabilistic proof of Ramanujan's $_1
\psi_1$ sum . . . . . . . . . . . . . . 1539--1548
Luigi Gatteschi New inequalities for the zeros of Jacobi
polynomials . . . . . . . . . . . . . . 1549--1562
Árpád Elbert and
Andrea Laforgia New properties of the zeros of a Jacobi
polynomial in relation to their centroid 1563--1572
Z. Ciesielski Explicit formula relating the Jacobi,
Hahn and Bernstein polynomials . . . . . 1573--1575
R. A. Gustafson Multilateral summation theorems for
ordinary and basic hypergeometric series
in $ {\rm U}(n) $ . . . . . . . . . . . 1576--1596
W. Van Assche and
G. Fano and
F. Ortolani Asymptotic Behaviour of the Coefficients
of Some Sequences of Polynomials . . . . 1597--1615
D. Naylor On a simplified asymptotic formula for
the Mathieu function of the third kind 1616--1629
J. P. McClure and
R. Wong Asymptotic Expansion of a Multiple
Integral . . . . . . . . . . . . . . . . 1630--1637
N. M. Temme Incomplete Laplace integrals: uniform
asymptotic expansion with application to
the incomplete beta function . . . . . . 1638--1663
R. G. Campos Some properties of the zeros of
polynomial solutions of Sturm--Liouville
equations . . . . . . . . . . . . . . . 1664--1668
Hans Volkmer On an expansion theorem of F. V.
Atkinson and P. Binding . . . . . . . . 1669--1680
Yoshihisa Morita A periodic wave and its stability to a
circular chain of weakly coupled
oscillators . . . . . . . . . . . . . . 1681--1698
Stephen Schecter Mel\cprimenikov's method at a
saddle-node and the dynamics of the
forced Josephson junction . . . . . . . 1699--1715
Constantin Tudor On stochastic functional-differential
equations with unbounded delay . . . . . 1716--1725
Yasumasa Nishiura and
Hiroshi Fujii Stability of singularly perturbed
solutions to systems of
reaction-diffusion equations . . . . . . 1726--1770
Chun Qing Lu Multiple Steady States in a Biochemical
System . . . . . . . . . . . . . . . . . 1771--1783
Jim Rulla Weak solutions to Stefan problems with
prescribed convection . . . . . . . . . 1784--1800
Michael Pilant and
William Rundell An inverse problem for a nonlinear
elliptic differential equation . . . . . 1801--1809
B. Brefort and
J. M. Ghidaglia and
R. Temam Attractors for the penalized
Navier--Stokes equations . . . . . . . . 1--21
Paolo Secchi On the motion of viscous fluids in the
presence of diffusion . . . . . . . . . 22--31
B. Larrouturou The equations of one-dimensional
unsteady flame propagation: existence
and uniqueness . . . . . . . . . . . . . 32--59
Jeffery Cooper The acoustic approximation for
compressible flow in the presence of a
surface undergoing small amplitude
vibrations . . . . . . . . . . . . . . . 60--69
P. Charrier and
B. Dacorogna and
B. Hanouzet and
P. Laborde An existence theorem for slightly
compressible materials in nonlinear
elasticity . . . . . . . . . . . . . . . 70--85
Joseph D. Fehribach Perturbation methods for solid diffusion
in a Stefan problem . . . . . . . . . . 86--99
James C. Alexander and
Giles Auchmuty Bifurcation analysis of
reaction-diffusion equations. VI.
Multiply periodic travelling waves . . . 100--109
Kenneth Kuttler and
Elias Aifantis Quasilinear evolution equations in
nonclassical diffusion . . . . . . . . . 110--120
Ray Redheffer and
Reinhard Redlinger and
Wolfgang Walter A theorem of La Salle--Lyapunov type for
parabolic systems . . . . . . . . . . . 121--132
Jan Prüss Bounded Solutions of Volterra Equations 133--149
Milan Miklav\vci\vc On Limit States of a Linearized
Boltzmann Equation . . . . . . . . . . . 150--152
Ludwig C. Nitsche and
Johannes M. Nitsche and
Howard Brenner Existence, uniqueness and regularity of
a time-periodic probability density
distribution arising in a
sedimentation-diffusion problem . . . . 153--166
Chao Liang Shen Remarks on the second eigenvalue of a
symmetric simply connected plane region 167--171
I. Babu\vska and
B. Q. Guo Regularity of the Solution of Elliptic
Problems with Piecewise Analytic Data.
Part I. Boundary Value Problems for
Linear Elliptic Equation of Second Order 172--203
Ross G. Pinsky A generalized Dirichlet principle for
second order nonselfadjoint elliptic
operators . . . . . . . . . . . . . . . 204--213
Lars-Erik Andersson On the determination of a function from
spherical averages . . . . . . . . . . . 214--232
A. L. Levin and
E. B. Saff Degree of approximation of real
functions by reciprocals of real and
complex polynomials . . . . . . . . . . 233--245
Michael Shub and
David Tischler and
Robert F. Williams The Newtonian Graph of a Complex
Polynomial . . . . . . . . . . . . . . . 246--256
William J. Hrusa and
Michael Renardy A model equation for viscoelasticity
with a strongly singular kernel . . . . 257--269
Richard Noren Uniform $ L^1 $ behavior for the
solution of a Volterra equation with a
parameter . . . . . . . . . . . . . . . 270--286
A. Mikeli\'c and
I. Aganovi\'c Homogenization of Stationary Flow of
Miscible Fluids in a Domain with a
Grained Boundary . . . . . . . . . . . . 287--294
Benoît Perthame and
Richard Sanders The Neumann problem for nonlinear second
order singular perturbation problems . . 295--311
Howard A. Levine Stability and instability for solutions
of Burgers' equation with a semilinear
boundary condition . . . . . . . . . . . 312--336
Dáng D\`inh Áng and
A. Pham Ngoc Dinh Strong solutions of a quasilinear wave
equation with nonlinear damping . . . . 337--347
Peter Wilde and
Achim Willers Dense sets and far field patterns for
the vector Helmholtz equation under
transmission boundary conditions . . . . 348--357
Michel Crouzeix and
Giuseppe Geymonat and
Genevi\`eve Raugel Some remarks about the Morse lemma in
infinite dimension . . . . . . . . . . . 358--371
B. F. Logan Bounds for the Tails of Sharp-Cutoff
Filter Kernels . . . . . . . . . . . . . 372--376
Marco Longinetti Some isoperimetric inequalities for the
level curves of capacity and Green's
functions on convex plane domains . . . 377--389
Jyh-Ming Jiang Starlike functions and linear functions
of a Dirichlet distributed vector . . . 390--397
W. Balser and
W. B. Jurkat and
D. A. Lutz On the reduction of connection problems
for differential equations with an
irregular singular point to ones with
only regular singularities. II . . . . . 398--443
William F. Trench Asymptotic integration of a perturbed
constant coefficient differential
equation under mild integral smallness
conditions . . . . . . . . . . . . . . . 444--459
Jaromír \vSim\vsa An Extension of a Theorem of Perron . . 460--472
Karl Dilcher Polynomials related to expansions of
certain rational functions in two
variables . . . . . . . . . . . . . . . 473--483
H. N. Mhaskar A quantitative Dirichlet--Jordan type
theorem for orthogonal polynomial
expansions . . . . . . . . . . . . . . . 484--492
Ilan Vardi Determinants of Laplacians and multiple
gamma functions . . . . . . . . . . . . 493--507
Avner Friedman and
Athanassios E. Tzavaras Combustion in a Porous Medium . . . . . 509--519
Joel D. Avrin Global existence for a model of
electrophoretic separation . . . . . . . 520--527
Irena Lasiecka and
Jan Soko\lowski Regularity and strong convergence of a
variational approximation to a
nonhomogeneous Dirichlet hyperbolic
boundary value problem . . . . . . . . . 528--540
Thormod Johansen and
Ragnar Winther The solution of the Riemann problem for
a hyperbolic system of conservation laws
modeling polymer flooding . . . . . . . 541--566
R. Bruce Kellogg Discontinuous solutions of the
linearized, steady state, compressible,
viscous, Navier--Stokes equations . . . 567--579
Hubertus J. Weinitschke On uniqueness of axisymmetric
deformations of elastic plates and
shells . . . . . . . . . . . . . . . . . 580--592
V. Comincioli and
A. Torelli A mathematical model of contracting
muscle with viscoelastic elements . . . 593--612
Martin Costabel Boundary integral operators on Lipschitz
domains: elementary results . . . . . . 613--626
J. B. Reade On the sharpness of Weyl's estimates for
eigenvalues of smooth kernels. II . . . 627--631
G. W. Wasilkowski and
H. Wo\'zniakowski On optimal algorithms in an asymptotic
model with Gaussian measure . . . . . . 632--647
Michael St. Vincent Entrainment of a Limit-Cycle Oscillator
with Shear by Large Amplitude Forcing 648--666
James S. W. Wong Second Order Nonlinear Forced
Oscillations . . . . . . . . . . . . . . 667--675
John W. Jayne Recursively generated polynomials and
Geronimus' version of orthogonality on a
contour . . . . . . . . . . . . . . . . 676--686
Howard B. Kushner The linearization of the product of two
zonal polynomials . . . . . . . . . . . 687--717
P. Delsarte and
Y. Genin The tridiagonal approach to Szeg\Ho's
orthogonal polynomials, Toeplitz linear
systems, and related interpolation
problems . . . . . . . . . . . . . . . . 718--735
Edward Neuman On Complete Symmetric Functions . . . . 736--750
Marci A. Perlstadt Oscillation properties for some
polynomial analogues of the prolate
spheroidal wave functions . . . . . . . 751--761
Bradley J. Lucier Regularity through approximation for
scalar conservation laws . . . . . . . . 763--773
José M. Vega Invariant regions and global asymptotic
stability in an isothermal catalyst . . 774--796
Chris Cosner and
Suzanne M. Lenhart and
Vladimir Protopopescu Transport equations with second-order
differential collision operators . . . . 797--813
Philip Korman On existence of solutions for several
classes of free boundary problems . . . 814--823
Timothy J. Healey Global bifurcations and continuation in
the presence of symmetry with an
application to solid mechanics . . . . . 824--840
Takao Fujimoto and
Ulrich Krause Asymptotic properties for inhomogeneous
iterations of nonlinear operators . . . 841--853
Sze Bi Hsu and
Shin Feng Hwang Analysis of Large Deformation of a Heavy
Cantilever . . . . . . . . . . . . . . . 854--866
Lii Perng Liou and
Kuo Shung Cheng On the uniqueness of a limit cycle for a
predator-prey system . . . . . . . . . . 867--878
Olof J. Staffans A direct Lyapunov approach to Volterra
integro-differential equations . . . . . 879--901
Katsunori Iwasaki Riemann function of harmonic equation
and Appell's $ F_4 $ . . . . . . . . . . 902--917
Lindsay A. Skinner Uniformly valid composite expansions for
Laplace integrals . . . . . . . . . . . 918--925
V. S. Adamchik and
K. S. Kölbig A definite integral of a product of two
polylogarithms . . . . . . . . . . . . . 926--938
Joanne Dombrowski Spectral measures, orthogonal
polynomials, and absolute continuity . . 939--943
Kevin W. J. Kadell A proof of some $q$-analogues of
Selberg's integral for $ k = 1$ . . . . 944--968
Kevin W. J. Kadell A proof of Askey's conjectured
$q$-analogue of Selberg's integral and a
conjecture of Morris . . . . . . . . . . 969--986
Doron Zeilberger A unified approach to Macdonald's
root-system conjectures . . . . . . . . 987--1013
Thomas J. Bridges Strong internal resonance, $ Z_2 \oplus
Z_2 $ symmetry, and multiple periodic
solutions . . . . . . . . . . . . . . . 1015--1031
Dominique Blanchard and
Gilles A. Francfort Study of a doubly nonlinear heat
equation with no growth assumptions on
the parabolic term . . . . . . . . . . . 1032--1056
David Terman Traveling wave solutions arising from a
two-step combustion model . . . . . . . 1057--1080
Ciprian Foia\cs and
Allen Tannenbaum and
George Zames Some Explicit Formulae for the Singular
Values of Certain Hankel Operators with
Factorizable Symbol . . . . . . . . . . 1081--1089
Margaret Cheney and
James H. Rose and
Brian DeFacio A Fundamental Integral Relation of
Scattering Theory . . . . . . . . . . . 1090--1102
Richard Noren A Singular Limit Problem for a Volterra
Equation . . . . . . . . . . . . . . . . 1103--1107
R. Waldstätter and
K. P. Hadeler and
G. Greiner A Lotka--McKendrick model for a
population structured by the level of
parasitic infection . . . . . . . . . . 1108--1118
Chun Qing Lu and
Nicholas D. Kazarinoff and
J. Bryce McLeod and
William C. Troy Existence of solutions of the similarity
equations for floating rectangular
cavities and disks . . . . . . . . . . . 1119--1126
Francine Diener Équations surquadratiques et disparition
des sauts. (French) [Superquadratic
equations and disappearance of jumps] 1127--1134
Allan M. Krall and
Anton Zettl Singular selfadjoint Sturm--Liouville
problems. II. Interior singular points 1135--1141
Harry Gingold and
Po-Fang Hsieh Asymptotic solutions of a Hamiltonian
system in intervals with several turning
points . . . . . . . . . . . . . . . . . 1142--1150
David C. Barnes Extremal Problems for Eigenvalue
Functionals. II . . . . . . . . . . . . 1151--1161
Antonio Granata Canonical Factorization of Disconjugate
Differential Operators --- Part II . . . 1162--1173
Erich Novak On the Convergence of Interpolated
Iteration Methods . . . . . . . . . . . 1174--1182
Calvin D. Ahlbrandt and
John W. Hooker Riccati matrix difference equations and
disconjugacy of discrete linear systems 1183--1197
Gilbert G. Walter Sampling Bandlimited Functions of
Polynomial Growth . . . . . . . . . . . 1198--1203
Paula S. Cohen and
Amitai Regev Asymptotics of combinatorial sums and
the central limit theorem . . . . . . . 1204--1215
E. G. Kalnins and
Willard Miller, Jr. $q$-series and orthogonal polynomials
associated with Barnes' first lemma . . 1216--1231
C. L. Frenzen and
R. Wong Uniform asymptotic expansions of
Laguerre polynomials . . . . . . . . . . 1232--1248
Wolfgang Bühring An analytic continuation formula for the
generalized hypergeometric function . . 1249--1251
S. R. Grace and
B. S. Lalli and
C. C. Yeh Addendum: ``Oscillation theorems for
nonlinear second-order differential
equations with a nonlinear damping
term'' [SIAM J. Math. Anal. \bf 15
(1984), no. 6, 1082--1093; MR 85j:34071] 1252--1253
Stephen Wiggins and
Philip Holmes Errata: ``Homoclinic orbits in slowly
varying oscillators'' [SIAM J. Math.
Anal. \bf 18 (1987), no. 3, 612--629; MR
88i:34087b] . . . . . . . . . . . . . . 1254--1255
John H. Maddocks Errata: ``Restricted quadratic forms and
their application to bifurcation and
stability in constrained variational
principles'' [SIAM J. Math. Anal. \bf 16
(1985), no. 1, 47--68; MR 86f:49111] . . 1256--1257
Pascal Chossat and
Martin Golubitsky Iterates of Maps with Symmetry . . . . . 1259--1270
Andrea Louise Bertozzi Heteroclinic orbits and chaotic dynamics
in planar fluid flows . . . . . . . . . 1271--1294
Kenneth R. Meyer and
Dieter S. Schmidt Bifurcations of relative equilibria in
the $N$-body and Kirchhoff problems . . 1295--1313
Pierluigi Colli and
Luc Oswald An Existence Result for the
Electropainting Problem . . . . . . . . 1314--1323
Martin Schechter Exact Estimates for Potentials . . . . . 1324--1328
Robert C. Rogers Nonlocal variational problems in
nonlinear electromagneto-elastostatics 1329--1347
Ömer Akìn The integral representation of the
positive solutions of the generalized
Weinstein equation on a quarter-space 1348--1354
V. Barcilon and
P. Constantin and
E. S. Titi Existence of solutions to the
Stommel--Charney model of the Gulf
Stream . . . . . . . . . . . . . . . . . 1355--1364
S. P. Hastings Multiple Traveling Waves in a Combustion
Model . . . . . . . . . . . . . . . . . 1365--1371
Bernardo Cockburn and
Patrick Joly Maxwell Equations in Polarizable Media 1372--1390
Shizuo Nakane Formation of Shocks for a Single
Conservation Law . . . . . . . . . . . . 1391--1408
Dáng D\`inh Áng and
Alain Pham Ngoc Dinh On the strongly damped wave equation: $
u_{tt} - \Delta u - \Delta u_t + f(u) =
0 $ . . . . . . . . . . . . . . . . . . 1409--1418
Chao Liang Shen On the nodal sets of the eigenfunctions
of the string equation . . . . . . . . . 1419--1424
L. Jódar and
H. Abou-Kandil A resolution method for Riccati
differential systems coupled in their
quadratic terms . . . . . . . . . . . . 1425--1430
A. Pinkus On Smoothest Interpolants . . . . . . . 1431--1441
Stephan Ruscheweyh Extension of Szeg\Ho's theorem on the
sections of univalent functions . . . . 1442--1449
Lee Lorch and
Peter Szego On the Zeros of Derivatives of Bessel
Functions . . . . . . . . . . . . . . . 1450--1454
J. Gillis and
J. Jedwab and
D. Zeilberger A combinatorial interpretation of the
integral of the product of Legendre
polynomials . . . . . . . . . . . . . . 1455--1461
F. G. Garvan A beta integral associated with the root
system $ G_2 $ . . . . . . . . . . . . . 1462--1474
Laurent Habsieger Une $q$-intégrale de Selberg et Askey.
(French) [A $q$-integral of Selberg and
Askey] . . . . . . . . . . . . . . . . . 1475--1489
Katsuhisa Mimachi A proof of Ramanujan's identity by use
of loop integrals . . . . . . . . . . . 1490--1493
Isabel Salgado Labouriau Degenerate Hopf Bifurcation and Nerve
Impulse. Part II . . . . . . . . . . . . 1--12
W. W. Farr and
Chengzhi Li and
I. S. Labouriau and
W. F. Langford Degenerate Hopf bifurcation formulas and
Hilbert's 16th problem . . . . . . . . . 13--30
Pascal Chossat and
Reiner Lauterbach The instability of axisymmetric
solutions in problems with spherical
symmetry . . . . . . . . . . . . . . . . 31--38
A. D. Jepson and
A. Spence On a Reduction Process for Nonlinear
Equations . . . . . . . . . . . . . . . 39--56
Bruce Turkington Vortex rings with swirl: axisymmetric
solutions of the Euler equations with
nonzero helicity . . . . . . . . . . . . 57--73
Monique Dauge Stationary Stokes and Navier--Stokes
Systems on Two- or Three-Dimensional
Domains with Corners. Part I. Linearized
Equations . . . . . . . . . . . . . . . 74--97
Jonathan Cohen Cauchy formulae for functions analytic
of order two on $ C^1 $ domains with
applications to elastostatics and
hydrostatics . . . . . . . . . . . . . . 98--105
Gelu I. Pa\csa Bounds for Effective Coefficients of
Periodic Fiber-Reinforced Materials . . 106--115
W. Desch and
R. Grimmer Smoothing properties of linear Volterra
integro-differential equations . . . . . 116--132
H. A. Levine and
L. E. Payne and
P. E. Sacks and
B. Straughan Analysis of a convective
reaction-diffusion equation. II . . . . 133--147
Ebbe Thue Poulsen Nonmonotone clines in homogeneous space
cannot be stable . . . . . . . . . . . . 148--159
K. Scherer and
P. W. Smith Existence of Best Parametric
Interpolation by Curves . . . . . . . . 160--168
Donald E. Amos Repeated integrals and derivatives of
$K$ Bessel functions . . . . . . . . . . 169--175
Joaquin Bustoz and
Mourad E. H. Ismail A Positive Trigonometric Sum . . . . . . 176--181
Leon Greenberg Sturm Sequences for Nonlinear Eigenvalue
Problems . . . . . . . . . . . . . . . . 182--199
F. R. de Hoog and
R. M. M. Mattheij On the Conditioning of Multipoint and
Integral Boundary Value Problems . . . . 200--214
Stuart Goff and
Donald F. St. Mary The Bohl transformation and oscillation
of linear differential systems . . . . . 215--221
Martin V. Day Boundary local time and small parameter
exit problems with characteristic
boundaries . . . . . . . . . . . . . . . 222--248
John Mallet-Paret and
Roger D. Nussbaum A differential-delay equation arising in
optics and physiology . . . . . . . . . 249--292
Russel E. Caflisch and
Oscar F. Orellana Singular solutions and ill-posedness for
the evolution of vortex sheets . . . . . 293--307
Laurence Halpern and
Michelle Schatzman Artificial boundary conditions for
incompressible viscous flows . . . . . . 308--353
Hamid Bellout and
Avner Friedman Blow-up estimates for a nonlinear
hyperbolic heat equation . . . . . . . . 354--366
Guido Sweers A strong maximum principle for a
noncooperative elliptic system . . . . . 367--371
F. Brezzi and
A. C. S. Capelo and
L. Gastaldi A singular perturbation analysis of
reverse-biased semiconductor diodes . . 372--387
Jack K. Hale and
Paul Waltman Persistence in Infinite-Dimensional
Systems . . . . . . . . . . . . . . . . 388--395
F.-O. Speck Sommerfeld Diffraction Problems with
First and Second Kind Boundary
Conditions . . . . . . . . . . . . . . . 396--407
Nezam Iraniparast Green--Riemann functions for a class of
hyperbolic focal point problems . . . . 408--414
Bernard Marshall The regularity of solutions of nonlinear
wave equations . . . . . . . . . . . . . 415--429
Norman L. Hills and
John M. Irwin Infinite-order differential equations
and the heat equation . . . . . . . . . 430--438
L. M. B. C. Campos On the branchpoint operator and the
annihilation of differintegrations . . . 439--453
L. M. B. C. Campos On a generalized Mittag-Leffler theorem
and implicit differintegration . . . . . 454--467
Johnny Henderson Existence theorems for boundary value
problems for $n$ th-order nonlinear
difference equations . . . . . . . . . . 468--478
Walter G. Kelley Uniform approximation of singular
perturbation problems having singular
regular expansions . . . . . . . . . . . 479--493
Chun Qing Lu and
Nicholas D. Kazarinoff On the existence of solutions of a
two-point boundary value problem arising
from flows in a cylindrical floating
zone . . . . . . . . . . . . . . . . . . 494--503
Donald St. P. Richards Constant regression polynomials and the
Wishart distribution . . . . . . . . . . 504--510
G. Iooss and
M. Rossi Hopf bifurcation in the presence of
spherical symmetry: analytical results 511--532
Margaret C. Memory Bifurcation and asymptotic behavior of
solutions of a delay-differential
equation with diffusion . . . . . . . . 533--546
Shui-Nee Chow and
Xiao-Biao Lin and
Kenneth J. Palmer A shadowing lemma with applications to
semilinear parabolic equations . . . . . 547--557
C. Y. Chan and
Hans G. Kaper Quenching for Semilinear Singular
Parabolic Problems . . . . . . . . . . . 558--566
Pei-Li Chen and
Jonathan Bell Global solutions and long-time behavior
to a Fitzhugh--Nagumo myelinated axon
model . . . . . . . . . . . . . . . . . 567--581
Yoshio Tsutsumi The Cauchy problem for the Korteweg--de
Vries equation with measures as initial
data . . . . . . . . . . . . . . . . . . 582--588
F.-O. Speck and
R. A. Hurd and
E. Meister Sommerfeld Diffraction Problems with
Third Kind Boundary Conditions II . . . 589--607
Gabriel Nguetseng A general convergence result for a
functional related to the theory of
homogenization . . . . . . . . . . . . . 608--623
A. H. Dooley A nonabelian version of the Shannon
sampling theorem . . . . . . . . . . . . 624--633
S. P. Hastings and
W. C. Troy On some conjectures of Turcotte, Spence,
Bau, and Holmes . . . . . . . . . . . . 634--642
P. Podio-Guidugli and
M. Rosati and
A. Schiaffino and
V. Valente Equilibrium of an elastic spherical cap
pulled at the rim . . . . . . . . . . . 643--663
Allan M. Krall $ M(\lambda) $ Theory for Singular
Hamiltonian Systems with One Singular
Point . . . . . . . . . . . . . . . . . 664--700
Allan M. Krall $ M(\lambda) $ Theory for Singular
Hamiltonian Systems with Two Singular
Points . . . . . . . . . . . . . . . . . 701--715
A. R. Aftabizadeh and
Chaitan P. Gupta and
Jian-Ming Xu Existence and uniqueness theorems for
three-point boundary value problems . . 716--726
Mourad E. H. Ismail and
Jean Letessier and
Galliano Valent Quadratic birth and death processes and
associated continuous dual Hahn
polynomials . . . . . . . . . . . . . . 727--737
Walter Gautschi On the zeros of polynomials orthogonal
on the semicircle . . . . . . . . . . . 738--743
T. M. Dunster Uniform asymptotic expansions for
Whittaker's confluent hypergeometric
functions . . . . . . . . . . . . . . . 744--760
D. Blanchard and
G. A. Francfort Erratum: ``Study of a doubly nonlinear
heat equation with no growth assumptions
on the parabolic term'' . . . . . . . . 761--762
I. Babu\vska and
B. Q. Guo Regularity of the solution of elliptic
problems with piecewise analytic data.
II. The trace spaces and application to
the boundary value problems with
nonhomogeneous boundary conditions . . . 763--781
C. O. Horgan and
L. E. Payne Decay estimates for a class of nonlinear
boundary value problems in two
dimensions . . . . . . . . . . . . . . . 782--788
K. A. Ames and
L. E. Payne Decay Estimates in Steady Pipe Flow . . 789--815
Martine Marion Finite-dimensional attractors associated
with partly dissipative
reaction-diffusion systems . . . . . . . 816--844
Yuzo Hosono and
Masayasu Mimura Localized cluster solutions of nonlinear
degenerate diffusion equations arising
in population dynamics . . . . . . . . . 845--869
H. J. A. M. Heijmans and
J. A. J. Metz Small parameters in structured
population models and the Trotter--Kato
theorem . . . . . . . . . . . . . . . . 870--885
M. Chipot and
F. B. Weissler Some blowup results for a nonlinear
parabolic equation with a gradient term 886--907
Thormod Johansen and
Ragnar Winther The Riemann problem for multicomponent
polymer flooding . . . . . . . . . . . . 908--929
H. I. Freedman and
Joseph W.-H. So Persistence in Discrete Semidynamical
Systems . . . . . . . . . . . . . . . . 930--938
Shao Zhu Chen and
Lynn H. Erbe Oscillation and nonoscillation for
systems of selfadjoint second-order
difference equations . . . . . . . . . . 939--949
Dong Myung Chung and
David Skoug Conditional analytic Feynman integrals
and a related Schrödinger integral
equation . . . . . . . . . . . . . . . . 950--965
Xin Zhou The Riemann--Hilbert problem and inverse
scattering . . . . . . . . . . . . . . . 966--986
David Kaminski Asymptotic expansion of the Pearcey
integral near the caustic . . . . . . . 987--1005
A. Gervois and
H. Navelet Infinite integrals involving three
spherical Bessel functions . . . . . . . 1006--1018
George Gasper $q$-extensions of Clausen's formula and
of the inequalities used by de Branges
in his proof of the Bieberbach,
Robertson, and Milin conjectures . . . . 1019--1034
David H. Wagner The existence and behavior of viscous
structure for plane detonation waves . . 1035--1054
Alan R. Elcrat and
Kirk E. Lancaster Bernstein Functions and the Dirichlet
Problem . . . . . . . . . . . . . . . . 1055--1068
C. J. Budd Applications of Shil\cprimenikov's
theory to semilinear elliptic equations 1069--1080
Richard A. Smith On a hyperbolic quenching problem in
several dimensions . . . . . . . . . . . 1081--1094
B. Gustafsson and
J. Mossino Isoperimetric Inequalities for the
Stefan Problem . . . . . . . . . . . . . 1095--1108
Pei Hsu Short-Time Asymptotics of the Heat
Kernel on a Concave Boundary . . . . . . 1109--1127
Jeff Morgan Global Existence for Semilinear
Parabolic Systems . . . . . . . . . . . 1128--1144
C. A. Stuart Bifurcation of homoclinic orbits and
bifurcation from the essential spectrum 1145--1171
Niky Kamran and
Peter J. Olver Equivalence of Differential Operators 1172--1185
Giles Auchmuty Unconstrained variational principles for
eigenvalues of real symmetric matrices 1186--1207
Darrel Hankerson An existence and uniqueness theorem for
difference equations . . . . . . . . . . 1208--1217
M. F. Barnsley and
J. Elton and
D. Hardin and
P. Massopust Hidden Variable Fractal Interpolation
Functions . . . . . . . . . . . . . . . 1218--1242
Artur O. Lopes The Dimension Spectrum of the Maximal
Measure . . . . . . . . . . . . . . . . 1243--1254
S. Y. Trimble and
Jim Wells and
F. T. Wright Superadditive functions and a
statistical application . . . . . . . . 1255--1259
Jean C. Piquette Applications of a technique for
evaluating indefinite integrals
containing products of the special
functions of physics . . . . . . . . . . 1260--1269
George Gasper and
Mizan Rahman A nonterminating $q$-Clausen formula and
some related product formulas . . . . . 1270--1282
J. F. Toland and
J. R. Willis Duality for families of natural
variational principles in nonlinear
electrostatics . . . . . . . . . . . . . 1283--1292
Andrew H. Van Tuyl Electrostatic Problems for Two
Conducting Spheres . . . . . . . . . . . 1293--1320
Giles Auchmuty Variational principles for eigenvalues
of compact operators . . . . . . . . . . 1321--1335
Ezzat S. Noussair and
Charles A. Swanson Decaying solutions of semilinear
elliptic equations in $ \mathbf {R}^N $ 1336--1343
Benjamin F. Esham, Jr. and
Richard J. Weinacht Hyperbolic-parabolic singular
perturbations for quasilinear equations 1344--1365
I. Lasiecka and
J. Soko\lowski Semidiscrete approximations of
hyperbolic boundary value problems with
nonhomogeneous Dirichlet boundary
conditions . . . . . . . . . . . . . . . 1366--1387
J. Ginibre and
Y. Tsutsumi Uniqueness of solutions for the
generalized Korteweg--de Vries equation 1388--1425
Sun Hong Ding On a Kind of Predator-Prey System . . . 1426--1435
G. Bard Ermentrout and
William C. Troy The uniqueness and stability of the rest
state for strongly coupled oscillators 1436--1446
A. J. Roberts The utility of an invariant manifold
description of the evolution of a
dynamical system . . . . . . . . . . . . 1447--1458
Gustaf Gripenberg Stability of periodic solutions in
thermostat control . . . . . . . . . . . 1459--1471
David Colton and
Andreas Kirsch and
Lassi Päivärinta Far-field patterns for acoustic waves in
an inhomogeneous medium . . . . . . . . 1472--1483
Florin Avram and
Murad S. Taqqu Hölder's inequality for functions of
linearly dependent arguments . . . . . . 1484--1489
Kouichi Sakurai and
Masaaki Yoshida Fuchsian systems associated with the $
{\rm P}^2 (\mathbf {F}_2) $-arrangement 1490--1499
D. Naylor On an integral transform involving a
class of Mathieu functions . . . . . . . 1500--1513
Kenneth L. Sala Transformations of the Jacobian
amplitude function and its calculation
via the arithmetic-geometric mean . . . 1514--1528
Michel Chipot and
Mitchell Luskin Existence of Solutions to the
Elastohydrodynamical Equations for
Magnetic Recording Systems . . . . . . . 1--17
Bei Hu A Quasi-Variational Inequality Arising
in Elastohydrodynamics . . . . . . . . . 18--36
Rabah Tahraoui Sur une classe de fonctionnelles non
convexes et applications. (French) [On a
class of nonconvex functionals, and
applications] . . . . . . . . . . . . . 37--52
Jong Uhn Kim Semidiscretization Method for
Three-Dimensional Motion of a Bingham
Fluid . . . . . . . . . . . . . . . . . 53--75
Chun Qing Lu Global Bifurcation of Steady-State
Solutions on a Biochemical System . . . 76--84
Y. Nishiura and
M. Mimura and
H. Ikeda and
H. Fujii Singular Limit Analysis of Stability of
Traveling Wave Solutions in Bistable
Reaction-Diffusion Systems . . . . . . . 85--122
J. Esquinas and
M. A. Herrero Travelling Wave Solutions to a
Semilinear Diffusion System . . . . . . 123--136
Roger Alexander Spatially Oscillatory Steady States of
Tubular Chemical Reactors . . . . . . . 137--153
R. Temam Inertial Manifolds and Multigrid Methods 154--178
S.-N. Chow and
B. Deng and
D. Terman The Bifurcation of Homoclinic and
Periodic Orbits from Two Heteroclinic
Orbits . . . . . . . . . . . . . . . . . 179--204
Li Wu Lipschitz Continuous Metric Selections
in $ {C}_0 ({T}) $ . . . . . . . . . . . 205--220
A. D. MacGillivray Justification of Matching with the
Transition Expansion of van der Pol's
Equation . . . . . . . . . . . . . . . . 221--240
N. M. Temme Uniform Asymptotic Expansions of a Class
of Integrals in Terms of Modified Bessel
Functions with Application to Confluent
Hypergeometric Functions . . . . . . . . 241--261
J. Gillis and
Mourad E. H. Ismail and
T. Offer An Asymptotic Problem in Derangement
Theory . . . . . . . . . . . . . . . . . 262--269
P. J. Forrester Theta Function Generalizations of Some
Constant Term Identities in the Theory
of Random Matrices . . . . . . . . . . . 270--280
Douglas N. Arnold and
Richard S. Falk The Boundary Layer for the
Reissner--Mindlin Plate Model . . . . . 281--312
Christian Schmeiser A Singular Perturbation Analysis of
Reverse Biased $ p n$-Junctions . . . . 313--326
Yoshio Yamada Stability of Steady States for
Prey-Predator Diffusion Equations with
Homogeneous Dirichlet Conditions . . . . 327--345
S.-I. Ei and
M. Mimura Pattern Formation in Heterogeneous
Reaction-Diffusion-Advection Systems
with an Application to Population
Dynamics . . . . . . . . . . . . . . . . 346--361
Wei Qing Xie The Stefan Problem with a Kinetic
Condition at the Free Boundary . . . . . 362--373
R. H. Fabiano and
K. Ito Semigroup Theory and Numerical
Approximation for Equations in Lin ear
Viscoelasticity . . . . . . . . . . . . 374--393
H. Han and
R. B. Kellogg Differentiability Properties of
Solutions of the Equation $
\varepsilon^2 \Delta u + r u = f(x, y) $
in a Square . . . . . . . . . . . . . . 394--408
Françoise Demengel and
Tang Qi Convex Function of a Measure Obtained by
Homogenization . . . . . . . . . . . . . 409--435
Roger D. Nussbaum Some Nonlinear Weak Ergodic Theorems . . 436--460
Franz Peherstorfer On Bernstein--Szeg\Ho orthogonal
polynomials on several intervals . . . . 461--482
A. Iserles and
S. P. Nòrsett Zeros of Transformed Polynomials . . . . 483--509
Robert A. Gustafson A Summation Theorem for Hypergeometric
Series Very-Well-Poised on $ G_2 $ . . . 510--522
C. L. Frenzen Error Bounds for a Uniform Asymptotic
Expansion of the Legendre Function $
Q_n^{-m} (\cosh z) $ . . . . . . . . . . 523--535
G. D. Anderson and
M. K. Vamanamurthy and
M. Vuorinen Functional Inequalities for Complete
Elliptic Integrals and Their Ratios . . 536--549
I. Babu\vska and
J. Pitkäranta The Plate Paradox for Hard and Soft
Simple Support . . . . . . . . . . . . . 551--576
Michel Crouzeix and
Jean Descloux A Bidimensional Electromagnetic Problem 577--592
Tong Zhang and
Yu Xi Zheng Conjecture on the Structure of Solutions
of the Riemann Problem for
Two-Dimensional Gas Dynamics Systems . . 593--630
Leif Arkeryd On the Enskog Equation with Large
Initial Data . . . . . . . . . . . . . . 631--646
Nela Lako\vs Existence of Steady-State Solutions for
a One-Predator--Two-Prey System . . . . 647--659
Henry Hermes Contact Maps and Induced Differential
Equations . . . . . . . . . . . . . . . 660--672
Hal L. Smith and
Horst R. Thieme Quasi convergence and Stability for
Strongly Order-Preserving Semiflows . . 673--692
Bo Deng Homoclinic Bifurcations with
Nonhyperbolic Equilibria . . . . . . . . 693--720
Chun Qing Lu Existence, Bifurcation, and Limit of
Solutions of the Similarity Equations
for Floating Rectangular Cavities and
Disks . . . . . . . . . . . . . . . . . 721--728
D. H. Sattinger Flat Connections and Scattering Theory
on the Line . . . . . . . . . . . . . . 729--756
Avner Friedman and
Michael L. Honig On the Spread of Continuous-Time Linear
Systems . . . . . . . . . . . . . . . . 757--770
Hans Volkmer The Expansion of a Holomorphic Function
in a Laplace Series . . . . . . . . . . 771--781
G. K. Immink A Note on the Relationship Between
Stokes Multipliers and Formal Solutions
of Analytic Differential Equations . . . 782--792
B. Leaute and
G. Marcilhacy and
R. Pons and
J. Skinazi On the Connection Problem for Some
Schrödinger Equations in Relation to the
Biconfluent Heun Differential Equation 793--798
E. B. Saff and
V. Totik Zeros of Chebyshev Polynomials
Associated With a Compact Set in the
Plane . . . . . . . . . . . . . . . . . 799--802
F. G. Garvan A Proof of the MacDonald--Morris Root
System Conjecture for $ F_4 $ . . . . . 803--821
Todd Arbogast and
Jim Douglas, Jr. and
Ulrich Hornung Derivation of the Double Porosity Model
of Single Phase Flow via Homogenization
Theory . . . . . . . . . . . . . . . . . 823--836
Eli L. Isaacson and
Dan Marchesin and
Bradley J. Plohr Transitional Waves for Conservation Laws 837--866
W. Eckhaus and
M. Garbey Asymptotic Analysis on Large Timescales
for Singular Perturbations of Hyperbolic
Type . . . . . . . . . . . . . . . . . . 867--883
Carlos Alvarez Pereira and
José M. Vega Global Stability of a Premixed Reaction
Zone (Time-Dependent Liñan's Problem) . . 884--904
M. Bertsch and
S. Kamin A System of Degenerate Parabolic
Equations . . . . . . . . . . . . . . . 905--916
William McLean An Integral Equation Method for a
Problem with Mixed Boundary Conditions 917--934
N. Kopell and
W. Zhang and
G. B. Ermentrout Multiple Coupling in Chains of
Oscillators . . . . . . . . . . . . . . 935--953
A. Vanderbauwhede Subharmonic Branching in Reversible
Systems . . . . . . . . . . . . . . . . 954--979
Marcellino Gaudenzi On the Sturm--Picone theorem for $N$ th
order differential equations . . . . . . 980--994
T. M. Dunster Bessel Functions of Purely Imaginary
Order, with an Application to
Second-Order Linear Differential
Equations Having a Large Parameter . . . 995--1018
M. Bruschi and
F. Calogero General Analytic Solution of Certain
Functional Equations of Addition Type 1019--1030
B. F. Logan The Recovery of Orthogonal Polynomials
from a Sum of Squares . . . . . . . . . 1031--1050
David E. Handelman Stable Positivity of Polynomials
Obtained from Three-Term Difference
Equations . . . . . . . . . . . . . . . 1051--1064
A. L. Levin and
D. S. Lubinsky $ L_\infty $ Markov and Bernstein
Inequalities for Freud Weight $s$ . . . 1065--1082
Nicolas Lerner Wick--Wigner Functions and Tomographic
Methods . . . . . . . . . . . . . . . . 1083--1092
Jacques Simon Nonhomogeneous Viscous Incompressible
Fluids: Existence of Velocity, Density,
and Pressure . . . . . . . . . . . . . . 1093--1117
Yoshikazu Giga and
Zensho Yoshida A Dynamic Free-Boundary Problem in
Plasma Physics . . . . . . . . . . . . . 1118--1138
David Terman Stability of Planar Wave Solutions to a
Combustion Model . . . . . . . . . . . . 1139--1171
Jeff Morgan Boundedness and Decay Results for
Reaction-Diffusion Systems . . . . . . . 1172--1189
Piotr Biler Attractors for the System of Schrödinger
and Klein--Gordon Equations with Yukawa
Coupling . . . . . . . . . . . . . . . . 1190--1212
Alessandra Lunardi On the Linear Heat Equation with Fading
Memory . . . . . . . . . . . . . . . . . 1213--1224
Morris W. Hirsch Systems of Differential Equations that
Are Competitive or Cooperative. IV:
Structural Stability in
Three-Dimensional Systems . . . . . . . 1225--1234
A. Gasull and
J. Libre Limit Cycles for a Class of Abel
Equations . . . . . . . . . . . . . . . 1235--1244
L. S. Frank On a Singularly Perturbed Eigenvalue
Problem in the Theory of Elastic Rods 1245--1263
Adriana Bohé Free Layers in a Singularly Perturbed
Boundary Value Problem . . . . . . . . . 1264--1280
Augusto Visintin Nonconvex Functionals Related to
Multiphase Systems . . . . . . . . . . . 1281--1304
Vincent Giovangigli Nonadiabatic Plane Laminar Flames and
Their Singular Limits . . . . . . . . . 1305--1325
William C. Troy Bounded Solutions of $ {\Delta } u +
|u|^{p - 1} u - |u|^{q - 1} u = 0 $ in
the Supercritical Case . . . . . . . . . 1326--1334
A. Sri Ranga On a Recurrence Formula Associated with
Strong Distributions . . . . . . . . . . 1335--1348
Jiang Zeng Linéarisation de produits de polynômes de
Meixner, Krawtchouk, et Charlier.
(French) [Linearization of products of
Meixner, Krawtchouk and Charlier
polynomials] . . . . . . . . . . . . . . 1349--1368
Michael Renardy Local Existence of Solutions of the
Dirichlet Initial-Boundary Value Problem
for Incompressible Hypoelastic Materials 1369--1385
Riccardo Ricci Traveling Wave Solutions of the Stefan
and the Ablation Problems . . . . . . . 1386--1393
Gabriel Nguetseng Asymptotic Analysis for a Stiff
Variational Problem Arising in Mechanics 1394--1414
J. Bebernes and
A. Lacey Finite-Time Blowup for a Particular
Parabolic System . . . . . . . . . . . . 1415--1425
Christoph Pospiech A Dirichlet Problem Exhibiting Global
Bifurcation with Symmetry Breaking . . . 1426--1452
Martin Krupa Bifurcations of Relative Equilibria . . 1453--1486
A. Bamberger and
A. S. Bonnet Mathematical Analysis of the Guided
Modes of an Optical Fiber . . . . . . . 1487--1510
Alan R. Bishop and
Randy Flesch and
M. Gregory Forest and
David W. McLaughlin and
Edward A. Overman, II Correlations Between Chaos in a
Perturbed Sine-Gordon Equation and a
Truncated Model System . . . . . . . . . 1511--1536
David Colton and
Lassi Päivärinta Far-Field Patterns for Electromagnetic
Waves in an Inhomogeneous Medium . . . . 1537--1549
Asher Ben-Artzi and
Amos Ron On the Integer Translates of a Compactly
Supported Function: Dual Bases and
Linear Projectors . . . . . . . . . . . 1550--1562
Mohamed Sami ElBialy Collision Singularities in Celestial
Mechanics . . . . . . . . . . . . . . . 1563--1593
T. M. Dunster Uniform Asymptotic Solutions of
Second-Order Linear Differential
Equations Having a Double Pole with
Complex Exponent and a Coalescing
Turning Point . . . . . . . . . . . . . 1594--1618
A. Fitouhi and
M. M. Hamza A Uniform Expansion for the
Eigenfunction of a Singular Second-Order
Differential Operator . . . . . . . . . 1619--1632
Yang Kuang and
Alan Feldstein Monotonic and Oscillatory Solutions of a
Linear Neutral Delay Equ ation with
Infinite Lag . . . . . . . . . . . . . . 1633--1641
A. Baider and
R. C. Churchill On Monodromy Groups of Second-Order
Fuchsian Equations . . . . . . . . . . . 1642--1652
R. C. Morgan and
I. Babu\vska An approach for constructing families of
homogenized equations for periodic
media. I. An integral representation and
its consequences . . . . . . . . . . . . 1--15
R. C. Morgan and
I. Babu\vska An approach for constructing families of
homogenized equations for periodic
media. II. Properties of the kernel . . 16--33
Shoshana Kamin and
Juan Luis Vázquez Asymptotic Behaviour of Solutions of the
Porous Medium Equation with Changing
Sign . . . . . . . . . . . . . . . . . . 34--45
J. Bartolomeo and
R. Triggiani Uniform Energy Decay Rates for
Euler--Bernoulli Equations with Feedback
Operators in the Dirichlet/Neumann
Boundary Conditions . . . . . . . . . . 46--71
Deborah Brandon Global Existence and Asymptotic
Stability for a Nonlinear Integro
differential Equation Modeling Heat Flow 72--106
Fernando Reitich Rapidly Stretching Plastic Jets: The
Linearized Problem . . . . . . . . . . . 107--128
Tanya Kostova and
Fabio Milner Nonlinear Age-Dependent Population
Dynamics with Constant Size . . . . . . 129--137
Daniele Andreucci $ L_{{\text {loc}}}^\infty $-Estimates
for Local Solutions of Degenerate
Parabolic Equations . . . . . . . . . . 138--145
Yanping Lin An Inverse Problem for a Class of
Quasilinear Parabolic Equations . . . . 146--156
Taka\csi Kusano and
Charles A. Swanson Entire Solutions of Real and Complex
Monge--Amp\`ere Equations . . . . . . . 157--168
M. Fürkotter and
H. M. Rodrigues Symmetry and Bifurcation to $ 2 \pi
$-Periodic Solutions of Nonlinear
Second-Order Equations with $ {{2 \pi }
\mathord {\left / {\vphantom {{2 \pi }
m}} \right . \kern - \nulldelimiterspace
} m}$-Periodic Forcings . . . . . . . . 169--180
P. J. Aston Analysis and Computation of
Symmetry-Breaking Bifurcation and
Scaling Laws Using Group Theoretic
Methods . . . . . . . . . . . . . . . . 181--212
Shigemi Ohkohchi Uniform Simplification at a Transition
Point and the Problem of Resonance . . . 213--237
G. K. Immink Reduction to Canonical Forms and the
Stokes Phenomenon in the Theory of
Linear Difference Equations . . . . . . 238--259
Giovanna Pittaluga and
Laura Sacripante Inequalities for the Zeros of the Airy
Functions . . . . . . . . . . . . . . . 260--267
Allan Fryant Inductively Generating the Spherical
Harmonics . . . . . . . . . . . . . . . 268--271
E. G. Kalnins and
Willard Miller, Jr. and
M. V. Tratnik Families of Orthogonal and Biorthogonal
Polynomials on the $n$-Sphere . . . . . 272--294
Tom H. Koornwinder The Addition Formula for Little
$q$-Legendre Polynomials and the $
{\operatorname {SU}}(2)$ Quantum Group 295--301
Walter Van Assche and
Tom H. Koornwinder Asymptotic Behaviour for Wall
Polynomials and the Addition Formula for
Little $q$-Legendre Polynomials . . . . 302--311
Michael Renardy An Existence Theorem for Model Equations
Resulting from Kinetic Theories of
Polymer Solutions . . . . . . . . . . . 313--327
M. Bertsch and
L. A. Peletier and
S. M. Verduyn Lunel The Effect of Temperature Dependent
Viscosity on Shear Flow of
Incompressible Fluids . . . . . . . . . 328--343
Martino Bardi and
Stanley Osher The Nonconvex Multi-Dimensional Reimann
Problem for Hamilton--Jacobi Equations 344--351
William V. Smith The Analysis of a Model for Wave Motion
in a Liquid Semiconductor: Boundary
Interaction and Variable Conductivity 352--378
Joel D. Avrin Qualitative Theory of the Cauchy Problem
for a One-Step Reaction Model on Bounded
Domains . . . . . . . . . . . . . . . . 379--391
Gilberto Flores Stability Analysis for the Slow
Traveling Pulse of the FitzHugh--Nagumo
System . . . . . . . . . . . . . . . . . 392--399
K. J. Brown and
A. Tertikas On the Bifurcation of Radially Symmetric
Steady-State Solutions Arising in
Population Genetics . . . . . . . . . . 400--413
Werner Kratz On the Representation of Stokes Flows 414--423
Juan J. Manfredi Isolated Singularities of $p$-Harmonic
Functions in the Plane . . . . . . . . . 424--439
A. M. Fink and
Juan A. Gatica and
Gaston E. Hernandez and
Paul Waltman Approximation of Solutions of Singular
Second-Order Boundary Value Problems . . 440--462
John V. Baxley Some Singular Nonlinear Boundary Value
Problems . . . . . . . . . . . . . . . . 463--479
Lassi Päivärinta and
Erkki Somersalo Inversion of Discontinuities for the
Schrödinger Equation in Three Dimensions 480--499
J. P. McClure and
R. Wong Two-Dimensional Stationary Phase
Approximation: Stationary Point at a
Corner . . . . . . . . . . . . . . . . . 500--523
G. K. Immink On the Asymptotic Behavior of the
Coefficients of Asymptotic Power Series
and Its Relevance to Stokes Phenomena 524--542
C. K. Chui and
J. Stöckler and
J. D. Ward Invertibility of Shifted Box Spline
Interpolation Operators . . . . . . . . 543--553
Ingrid Daubechies and
Stéphane Jaffard and
Jean-Lin Journé A Simple Wilson Orthonormal Basis with
Exponential Decay . . . . . . . . . . . 554--573
Morton E. Gurtin and
Paolo Podio-Guidugli A Hyperbolic Theory for the Evolution of
Plane Curves . . . . . . . . . . . . . . 575--586
Alberto Bressan Blowup asymptotics for the
reactive-Euler gas model . . . . . . . . 587--601
Senhuei E. Chen and
R. Bruce Kellogg An Interior Discontinuity of a Nonlinear
Elliptic-Hyperbolic System . . . . . . . 602--622
Hi Jun Choe and
John L. Lewis On the Obstacle Problem for Quasilinear
Elliptic Equations of $p$ Laplacian Type 623--638
Alain Damlamian and
Patrizia Donato Homogenization with Small Perforations
of Increasingly Complicated Shapes . . . 639--652
Bo Deng The Bifurcations of Countable
Connections from a Twisted Heteroclinic
Loop . . . . . . . . . . . . . . . . . . 653--679
William W. Symes Layered Velocity Inversion: A Model
Problem from Reflection Seismology . . . 680--716
Tuncay Aktosun and
Cornelis van der Mee Solution of the Inverse Scattering
Problem for the Three-Dimensional
Schrödinger Equation Using a Fredholm
Integral Equation . . . . . . . . . . . 717--731
David C. Barnes The Inverse Eigenvalue Problem with
Finite Data . . . . . . . . . . . . . . 732--753
D. B. Hinton and
M. Klaus and
J. K. Shaw Half-bound states and Levinson's theorem
for discrete systems . . . . . . . . . . 754--768
I. Györi and
G. Ladas and
L. Pakula Conditions for Oscillation of Difference
Equations with Applications to Equations
with Piecewise Constant Arguments . . . 769--773
Allan C. Peterson and
Jerry Ridenhour Atkinson's Superlinear Oscillation
Theorem for Matrix Difference Equations 774--784
S. Jensen An $ {H}_0^m $ Interpolation Result . . 785--791
P. Dörfler An Extremal Problem Concerning a
Markov-Type Inequality . . . . . . . . . 792--795
Benjamin B. Wells Minimal Extrapolations of Filters . . . 796--809
J. Boersma and
M. L. Glasser Asymptotic Expansion of a Class of
Fermi--Dirac Integrals . . . . . . . . . 810--820
Takeshi Sasaki Contiguity relations of
Aomoto--Gel\cprimefand hypergeometric
functions and applications to Appell's
system $ F_3 $ and Goursat's system
${}_3 F_2$ . . . . . . . . . . . . . . . 821--846
H. N. Mhaskar and
Y. Xu Mean Convergence of Expansions in
Freud-Type Orthogonal Polynomials . . . 847--855
Kristian Seip Reproducing Formulas and Double
Orthogonality in Bargmann and Bergman
Spaces . . . . . . . . . . . . . . . . . 856--876
Rabah Tahraoui Erratum: ``Sur une classe de
fonctionelles non convexes et
applications'' (French) [On a class of
non-convex functionals and applications]
[SIAM J. Math. Anal. \bf 21 (1990), no.
1, 37--52] . . . . . . . . . . . . . . . 877--877
Ingrid Daubechies and
Stéphane Jaffard and
Jean-Lin Journé Erratum: ``A simple Wilson orthonormal
basis with exponential decay'' . . . . . 878--878
J. M. Ghidaglia and
A. Marzocchi Longtime Behaviour of Strongly Damped
Wave Equations, Global Attractors and
Their Dimension . . . . . . . . . . . . 879--895
John S. Jeffries A Strongly Coupled Singularly Perturbed
Quasilinear Second-Order System . . . . 896--904
Aslak Tveito and
Ragnar Winther Existence, Uniqueness, and Continuous
Dependence for a System of Hyperbolic
Conservation Laws Modeling Polymer
Flooding . . . . . . . . . . . . . . . . 905--933
Bei Hu Diffusion of Penetrant in a Polymer: A
Free Boundary Problem . . . . . . . . . 934--956
H. Steinrück The One-Dimensional Wigner--Poisson
Problem and Its Relation to the
Schrödinger--Poisson Problem . . . . . . 957--972
Y. W. Liu A Boundary Integral Equation for the
Two-Dimensional Floating-Body Problem 973--981
Charles V. Coffman and
William K. Ziemer A Prescribed Mean Curvature Problem on
Domains Without Radial Symmetry . . . . 982--990
G. F. Roach and
Bo Zhang On Transmission Problems for the
Schrödinger Equation . . . . . . . . . . 991--1006
W. Okrasi\'nski Nontrivial Solutions to Nonlinear
Volterra Integral Equations . . . . . . 1007--1015
B. Zinner Stability of Traveling Wavefronts for
the Discrete Nagumo Equation . . . . . . 1016--1020
Leon Greenberg An Oscillation Method for Fourth-Order,
Self-Adjoint, Two-Point Boundary Value
Problems with Nonlinear Eigenvalues . . 1021--1042
Robert Stephen Cantrell and
Chris Cosner Diffusive Logistic Equations with
Indefinite Weights: Population Models in
Disrupted Environments II . . . . . . . 1043--1064
Stavros N. Busenberg and
Mimmo Iannelli and
Horst R. Thieme Global Behavior of an Age-Structured
Epidemic Model . . . . . . . . . . . . . 1065--1080
Hal L. Smith and
Horst R. Thieme Convergence for Strongly
Order-Preserving Semiflows . . . . . . . 1081--1101
Hal L. Smith Periodic Tridiagonal Competitive and
Cooperative Systems of Differential
Equations . . . . . . . . . . . . . . . 1102--1109
John J. Benedetto The spherical Wiener--Plancherel formula
and spectral estimation . . . . . . . . 1110--1130
D. R. Masson and
J. Repka Spectral theory of Jacobi matrices in $
l^2 (\mathbf {Z}) $ and the $ {\rm
su}(1, 1) $ Lie algebra . . . . . . . . 1131--1146
James A. Wilson Orthogonal Functions from Gram
Determinants . . . . . . . . . . . . . . 1147--1155
T. M. Dunster and
D. A. Lutz Convergent Factorial Series Expansions
for Bessel Functions . . . . . . . . . . 1156--1172
Ronald Evans and
John Greene Polynomials with Nonnegative
Coefficients Whose Zeros Have Modulus
One . . . . . . . . . . . . . . . . . . 1173--1182
Yingkang Hu Convexity Preserving Approximation by
Free Knot Splines . . . . . . . . . . . 1183--1191
Massimo Lanza de Cristoforis and
Stuart S. Antman The Large Deformation of Nonlinearly
Elastic Tubes in Two-Dimensional Flows 1193--1221
Satoshi Kaizu The Poisson Equation with Nonautonomous
Semilinear Boundary Conditions in
Domains with Many Time Holes . . . . . . 1222--1245
Henrik Shahgholian On the Newtonian Potential of a
Heterogeneous Ellipsoid . . . . . . . . 1246--1255
Laurence Halpern Artificial Boundary Conditions for
Incompletely Parabolic Perturbations of
Hyperbolic Systems . . . . . . . . . . . 1256--1283
Barbara Lee Keyfitz Admissibility Conditions for Shocks in
Conservation Laws that Change Type . . . 1284--1292
Victor A. Galaktionov Best Possible Upper Bound for Blowup
Solutions of the Quasilinear Heat
Conduction Equation with Source . . . . 1293--1302
Li-Yeng Y. Sung and
A. S. Fokas Inverse Problems in Multidimensions . . 1303--1331
Gustaf Gripenberg Thermostat Systems Having Stable
Periodic Solutions with Short Periods 1332--1348
Isom H. Herron Exchange of Stabilities for Flow Along a
Concave Wall . . . . . . . . . . . . . . 1349--1353
J. Ringland and
M. Schell Genealogy and Bifurcation Skeleton for
Cycles of the Iterated Two-Extremum Map
of the Interval . . . . . . . . . . . . 1354--1371
Moody T. Chu and
Kenneth R. Driessel Constructing Symmetric Nonnegative
Matrices with Prescribed Eigenvalues by
Differential Equations . . . . . . . . . 1372--1387
Ingrid Daubechies and
Jeffrey C. Lagarias Two-scale difference equations. I.
Existence and global regularity of
solutions . . . . . . . . . . . . . . . 1388--1410
Victor L. Shapiro Special Functions and Singular
Quasilinear Partial Differential
Equations . . . . . . . . . . . . . . . 1411--1429
Mizan Rahman Biorthogonality of a System of Rational
Functions with Respect to a Positive
Measure on $ [ - 1, 1] $ . . . . . . . . 1430--1441
Li-Chen Chen and
Mourad E. H. Ismail On Asymptotics of Jacobi Polynomials . . 1442--1449
E. G. Kalnins and
W. Miller, Jr. Hypergeometric Expansions of Heun
Polynomials . . . . . . . . . . . . . . 1450--1459
F. W. J. Olver Uniform, Exponentially Improved,
Asymptotic Expansions for the
Generalized Exponential Integral . . . . 1460--1474
F. W. J. Olver Uniform, Exponentially Improved,
Asymptotic Expansions for the Confluent
Hypergeometric Function and Other
Integral Transforms . . . . . . . . . . 1475--1489
Hong Xie and
W. Allegretto $ C^\alpha (\overline \Omega) $
Solutions of a Class of Nonlinear
Degenerate Elliptic Systems Arising in
the Thermistor Problem . . . . . . . . . 1491--1499
Song-Sun Lin and
Feng Ming Pai Existence and Multiplicity of Positive
Radial Solutions for Semilinear Elliptic
Equations in Annular Domains . . . . . . 1500--1515
Nicola Fusco and
J. Hutchinson Partial Regularity in Problems Motivated
by Nonlinear Elasticity . . . . . . . . 1516--1551
Bruce B. Peckham and
Ioannis G. Kevrekidis Period Doubling with Higher-Order
Degeneracies . . . . . . . . . . . . . . 1552--1574
Paul Binding and
Qiang Ye Variational Principles Without
Definiteness Conditions . . . . . . . . 1575--1583
Masaji Watanabe and
Hans G. Othmer Persistence of Invariant Tori in Systems
of Coupled Oscillators. II. Degenerate
Problems . . . . . . . . . . . . . . . . 1584--1630
Bo Deng The Existence of Infinitely Many
Traveling Front and Back Waves in the
FitzHugh--Nagumo Equations . . . . . . . 1631--1650
Hideo Ikeda and
Masayasu Mimura Stability Analysis of Stationary
Solutions of Bistable Reaction-Variable
Diffusion Systems . . . . . . . . . . . 1651--1678
J.-C. Nédélec and
F. Starling Integral Equation Methods in a
Quasi-Periodic Diffraction Problem for
the Time-Harmonic Maxwell's Equations 1679--1701
R. E. Showalter and
N. J. Walkington Diffusion of Fluid in a Fissured Medium
with Microstructure . . . . . . . . . . 1702--1722
Hong Ming Yin On Parabolic Volterra Equations in
Several Space Dimensions . . . . . . . . 1723--1737
Nakao Hayashi Analyticity of Solutions of the
Korteweg--De Vries Equation . . . . . . 1738--1743
Yoshimasa Nakamura Geometry of Rational Functions and
Nonlinear Integrable Systems . . . . . . 1744--1754
B. P. Rynne and
B. D. Sleeman The Interior Transmission Problem and
Inverse Scattering from Inhomogeneous
Media . . . . . . . . . . . . . . . . . 1755--1762
Robert Glassey and
Ernst Horst and
Andrew Lenard and
Jack Schaeffer On the Inverse of the Discrete
Two-Dimensional Wave Operator at CFL . . 1763--1775
Junjiang Lei and
Rong Qing Jia Approximation by Piecewise Exponentials 1776--1789
Richard C. Churchill and
David L. Rod On the Determination of Ziglin Monodromy
Groups . . . . . . . . . . . . . . . . . 1790--1802
E. G. Kalnins and
W. Miller, Jr. Addendum: Hypergeometric Expansions of
Heun Polynomials . . . . . . . . . . . . 1803--1803
David Kinderlehrer and
Pablo Pedregal Weak Convergence of Integrands and the
Young Measure Representation . . . . . . 1--19
J. Y. Chemin Remarques sur l'existence globale pour
le syst\`eme de Navier--Stokes
incompressible. (French) [Remarks on
global existence for the incompressible
Navier--Stokes system] . . . . . . . . . 20--28
A. Ashyralyev and
H. O. Fattorini On Uniform Difference Schemes for
Second-Order Singular Perturbation
Problems in Banach Spaces . . . . . . . 29--54
Bing-Yu Zhang Unique Continuation for the Korteweg--De
Vries Equation . . . . . . . . . . . . . 55--71
E. Barany and
I. Melbourne A Family of Stable Equilibria in
Bifurcation with Spherical Symmetry . . 72--80
Pei-Li Chen Qualitative Analysis of Myelinated Nerve
Fibers with Point-Node FitzHugh--Nagumo
Dynamic System . . . . . . . . . . . . . 81--98
Robert Gardner Stability and Hopf Bifurcation of Steady
State Solutions of a Singularly
Perturbed Reaction-Diffusion System . . 99--149
J. Hainzl Multiparameter Bifurcation of a
Predator-Prey System . . . . . . . . . . 150--180
Kuang Yang Qualitative Analysis of One- or
Two-Species Neutral Delay Population
Models . . . . . . . . . . . . . . . . . 181--200
S. P. Hastings and
C. Lu and
A. D. MacGillivray A Boundary Value Problem with Multiple
Solutions from the Theory of Laminar
Flow . . . . . . . . . . . . . . . . . . 201--208
Peter J. Olver A Nonlinear Differential Operator Series
that Commutes with Any Function . . . . 209--221
Gerald Kaiser An Algebraic Theory of Wavelets. I.
Operational Calculus and Complex
Structure . . . . . . . . . . . . . . . 222--243
Hans G. Feichtinger and
Karlheinz Gröchenig Iterative Reconstruction of Multivariate
Band-Limited Functions from Irregular
Sampling Values . . . . . . . . . . . . 244--261
D. Kaminski Asymptotics of the Swallowtail Integral
Near the Cusp of the Caustic . . . . . . 262--285
Steven J. Cox and
Michael L. Overton On the Optimal Design of Columns Against
Buckling . . . . . . . . . . . . . . . . 287--325
L. Boccardo and
F. Murat and
J.-P. Puel $ L_\infty $ Estimate for Some Nonlinear
Elliptic Partial Differential Equations
and Application to an Existence Result 326--333
Zhi Da Huang and
Mario Primicerio The Surface Evaporation Problem with
Signorini Boundary Condition . . . . . . 334--345
Curtis R. Menyuk and
Thomas I. Seidman Transient Stimulated Raman Scattering 346--363
Daniel Michelson Bunsen Flames as Steady Solutions of the
Kuramoto--Sivashinsky Equation . . . . . 364--386
Peter Taká\vc Large-Time Behavior of a Time-Periodic
Cooperative System of Reaction-Diffusion
Equations Depending on Parameters . . . 387--411
Wolfgang Arendt and
Jan Prüss Vector-Valued Tauberian Theorems and
Asymptotic Behavior of Linear Volterra
Equations . . . . . . . . . . . . . . . 412--448
I. Lasiecka and
R. Triggiani Riccati Differential Equations with
Unbounded Coefficients and Nonsmooth
Terminal Condition --- The Case of
Analytic Semigroups . . . . . . . . . . 449--481
Bruce D. Lowe and
Michael Pilant and
William Rundell The Recovery of Potentials from Finite
Spectral Data . . . . . . . . . . . . . 482--504
C. L. Frenzen Error Bounds for the Asymptotic
Expansion of the Ratio of Two Gamma
Functions with Complex Argument . . . . 505--511
G. D. Anderson and
M. K. Vamanamurthy and
M. Vuorinen Functional Inequalities for
Hypergeometric Functions and Complete
Elliptic Integrals . . . . . . . . . . . 512--524
Robert A. Gustafson Some $q$-Beta and Mellin--Barnes
Integrals with Many Parameters
Associated to the Classical Groups . . . 525--551
R. Y. Denis and
R. A. Gustafson An $ {\rm SU}(n) $ $q$-Beta Integral
Transformation and Multiple
Hypergeometric Series Identities . . . . 552--561
Emilio Montaldi and
Giuseppe Zucchelli Some formulas of Ramanujan, revisited 562--569
Hans G. Kaper and
Man Kam Kwong On Two Conjectures Concerning the
Multiplicity of Solutions of a Dirichlet
Problem . . . . . . . . . . . . . . . . 571--578
M. Lenoir and
M. Vullierme-Ledard and
C. Hazard Variational Formulations for the
Determination of Resonant States in
Scattering Problems . . . . . . . . . . 579--608
Gui Qiang Chen Global Solutions to the Compressible
Navier--Stokes Equations for a Reacting
Mixture . . . . . . . . . . . . . . . . 609--634
Tore Gimse and
Nils Henrik Risebro Solution of the Cauchy Problem for a
Conservation Law with a Discontinuous
Flux Function . . . . . . . . . . . . . 635--648
Mary E. Parrott Linearized Stability and Irreducibility
for a Functional Differential Equation 649--661
M. Iannelli and
F. A. Milner and
A. Pugliese Analytical and Numerical Results for the
Age-Structured S--I--S Epidemic Model
with Mixed Inter-Intracohort
Transmission . . . . . . . . . . . . . . 662--688
H. I. Freedman and
Jian Hong Wu Periodic Solutions of Single-Species
Models with Periodic Delay . . . . . . . 689--701
Joseph Gruendler Homoclinic Solutions for Autonomous
Dynamical Systems in Arbitrary Dimension 702--721
W. N. Everitt and
A. M. Krall and
L. L. Littlejohn and
V. P. Onyango-Otieno Differential Operators and the Laguerre
Type Polynomials . . . . . . . . . . . . 722--736
M. Alfaro and
F. Marcellan and
M. L. Rezola and
A. Ronveaux On Orthogonal Polynomials of Sobolev
Type: Algebraic Properties and Zeros . . 737--757
Ronald J. Evans Multidimensional $q$-Beta Integrals . . 758--765
T. N. T. Goodman and
Charles A. Micchelli On Refinement Equations Determined by
Polya Frequency Sequences . . . . . . . 766--784
C. Carton-Lebrun and
H. P. Heinig Weighted Fourier Transform Inequalities
for Radially Decreasing Functions . . . 785--798
Patrick Joly Some Trace Theorems in Anisotropic
Sobolev Spaces . . . . . . . . . . . . . 799--819
Yoshikazu Giga and
Shun'ichi Goto and
Hitoshi Ishii Global Existence of Weak Solutions for
Interface Equations Coupled with
Diffusion Equations . . . . . . . . . . 821--835
Ph. Clément and
C. J. van Duijn and
Shuanhu Li On a Nonlinear Elliptic-Parabolic
Partial Differential Equation System in
a Two-Dimensional Groundwater Flow
Problem . . . . . . . . . . . . . . . . 836--851
J. Bebernes and
S. Bricher Final Time Blowup Profiles for
Semilinear Parabolic Equations via
Center Manifold Theory . . . . . . . . . 852--869
Jack D. Dockery and
Roger Lui Existence of Travelling Wave Solutions
for a Bistable Evolutionary Ecology
Model . . . . . . . . . . . . . . . . . 870--888
Jong Uhn Kim On the Energy Decay of a Linear
Thermoelastic Bar and Plate . . . . . . 889--899
Amy Cohen and
Thomas Kappeler Solutions to the Cubic Schrödinger
Equation by the Inverse Scattering
Method . . . . . . . . . . . . . . . . . 900--922
H. A. Biagioni and
M. Oberguggenberger Generalized Solutions to the
Korteweg--de Vries and the Regularized
Long-Wave Equations . . . . . . . . . . 923--940
Jean François Colombeau and
Arnaud Heibig Nonconservative Products in Bounded
Variation Functions . . . . . . . . . . 941--949
Kurt Bryan and
Michael Vogelius A Uniqueness Result Concerning the
Identification of a Collection of Cracks
from Finitely Many Electrostatic
Boundary Measurements . . . . . . . . . 950--958
Ryszard Szwarc Orthogonal Polynomials and a Discrete
Boundary Value Problem I . . . . . . . . 959--964
Ryszard Szwarc Orthogonal Polynomials and a Discrete
Boundary Value Problem II . . . . . . . 965--969
Don Coppersmith and
T. J. Rivlin The Growth of Polynomials Bounded at
Equally Spaced Points . . . . . . . . . 970--983
C. Foias and
A. E. Frazho Commutant Lifting and Simultaneous $
H^\infty $ and $ L^2 $ Suboptimization 984--994
Gilbert G. Walter Nonuniform Sampling of Bandlimited
Functions of Polynomial Growth . . . . . 995--1003
Gilbert G. Walter Discrete Wavelets . . . . . . . . . . . 1004--1014
Timo Eirola Sobolev Characterization of Solutions of
Dilation Equations . . . . . . . . . . . 1015--1030
Ingrid Daubechies and
Jeffrey C. Lagarias Two-scale difference equations. II.
Local regularity, infinite products of
matrices and fractals . . . . . . . . . 1031--1079
Irene Fonseca and
Stefan Müller Quasi-Convex Integrands and Lower
Semicontinuity in $ L^1 $ . . . . . . . 1081--1098
E. Miersemann and
H. D. Mittelmann Stability in Obstacle Problems for the
von Karman Plate . . . . . . . . . . . . 1099--1116
Jacek Banasiak On Asymptotics of Solutions of Elliptic
Mixed Boundary Value Problems of
Second-Order in Domains with Vanishing
Edges . . . . . . . . . . . . . . . . . 1117--1124
Sheng Wang and
Yi Song Yang Abrikosov's Vortices in the Critical
Coupling . . . . . . . . . . . . . . . . 1125--1140
Satyanad Kichenassamy and
Peter J. Olver Existence and Nonexistence of Solitary
Wave Solutions to Higher-Order Model
Evolution Equations . . . . . . . . . . 1141--1166
F. Penzel Sobolev Space Methods for Dual Integral
Equations in Axialsymmetric Screen
Problems . . . . . . . . . . . . . . . . 1167--1181
Yasuhiro Fujita Energy Inequalities for Integro-Partial
Differential Equations with
Riemann--Liouville Integrals . . . . . . 1182--1188
Ta-Tsien Li and
D. Serre and
Hao Zhang The Generalized Riemann Problem for the
Motion of Elastic Strings . . . . . . . 1189--1203
Tepper L. Gill and
W. W. Zachary Dimensionality of Invariant Sets for
Nonautonomous Processes . . . . . . . . 1204--1229
Kazuyuki Yagasaki Chaotic Dynamics of Quasi-Periodically
Forced Oscillators Detected by
Mel\cprimenikov's Method . . . . . . . . 1230--1254
Clark Robinson Homoclinic Bifurcation to a Transitive
Attractor of Lorenz Type, II . . . . . . 1255--1268
Wiktor Eckhaus Singular Perturbations of Homoclinic
Orbits in $ \mathbf {R}^4 $ . . . . . . 1269--1290
Brian Hassard and
Katie Jiang Unfolding a Point of Degenerate Hopf
Bifurcation in an Enzyme-Catalyzed
Reaction Model . . . . . . . . . . . . . 1291--1304
Chao Liang Shen and
Chung Tsun Shieh Some Properties of the First Eigenvalue
of the Laplace Operator on the Spherical
Bands in $ S^2 $ . . . . . . . . . . . . 1305--1308
David L. Donoho Superresolution Via Sparsity Constraints 1309--1331
W. A. Beyer and
Blair Swartz Halfway Points . . . . . . . . . . . . . 1332--1341
Pl. Kannappan and
P. K. Sahoo Rotation Invariant Separable Functions
are Gaussian . . . . . . . . . . . . . . 1342--1351
Kang Zhao Global Linear Independence and Finitely
Supported Dual Basis . . . . . . . . . . 1352--1355
V. Adolfsson and
M. Goldberg and
B. Jawerth and
H. Lennerstad Localized Galerkin Estimates for
Boundary Integral Equations on Lipschitz
Domains . . . . . . . . . . . . . . . . 1356--1374
Pierre Fabrie and
Michel Langlais Mathematical Analysis of Miscible
Displacement in Porous Medium . . . . . 1375--1392
Kevin T. Andrews and
Andro Mikeli\'c and
Peter Shi and
Meir Shillor and
Steve Wright One-Dimensional Thermoelastic Contact
with a Stress-Dependent Radiation
Condition . . . . . . . . . . . . . . . 1393--1416
Xiang Sheng Xu A Degenerate Stefan-Like Problem with
Joule's Heating . . . . . . . . . . . . 1417--1438
Bei Hu and
Lihe Wang A Free Boundary Problem Arising in
Electrophotography: Solutions with
Connected Toner Region . . . . . . . . . 1439--1454
Olivier Goubet Construction of Approximate Inertial
Manifolds Using Wavelets . . . . . . . . 1455--1481
Grégoire Allaire Homogenization and Two-Scale Convergence 1482--1518
Lars F. Villemoes Energy Moments in Time and Frequency for
Two-Scale Difference Equation Solutions
and Wavelets . . . . . . . . . . . . . . 1519--1543
Olivier Rioul Simple Regularity Criteria for
Subdivision Schemes . . . . . . . . . . 1544--1576
Carmen Chicone Bifurcations of Nonlinear Oscillations
and Frequency Entrainment Near Resonance 1577--1608
Xian Wang and
Robert E. Kooij Limit Cycles in a Cubic System with a
Cusp . . . . . . . . . . . . . . . . . . 1609--1622
Cai Xing Gu Eliminating the Genericity Conditions in
the Skew Toeplitz Operator Algorithm for
$ H^\infty $ Optimization . . . . . . . 1623--1636
R. Wong and
Q.-Q. Wang On the Asymptotics of the Jacobi
Function and Its Zeros . . . . . . . . . 1637--1649
Jyrki Piila and
Juhani Pitkäranta Energy Estimates Relating Different
Linear Elastic Models of a Thin
Cylindrical Shell I. The
Membrane-Dominated Case . . . . . . . . 1--22
Nour Eddine Alaa and
Michel Pierre Weak Solutions of Some Quasilinear
Elliptic Equations with Data Measures 23--35
Hamid Bellout and
Frederick Bloom and
Jind\vrich Ne\vcas Existence of Global Weak Solutions to
the Dynamical Problem for a
Three-Dimensional Elastic Body with
Singular Memory . . . . . . . . . . . . 36--45
Peter Shi Weak Solution to an Evolution Problem
with a Nonlocal Constraint . . . . . . . 46--58
Tong Li On the Riemann Problem for a Combustion
Model . . . . . . . . . . . . . . . . . 59--75
Carsten W. Schulz-Rinne Classification of the Riemann Problem
for Two-Dimensional Gas Dynamics . . . . 76--88
Wei-Zheng Gao Threshold Behavior and Propagation for a
Differential- Difference System . . . . 89--115
Kjell Holmåker Global Asymptotic Stability for a
Stationary Solution of a System of
Integro-Differential Equations
Describing the Formation of Liver Zones 116--128
Franz Rothe Remarks on Periods of Planar Hamiltonian
Systems . . . . . . . . . . . . . . . . 129--154
William C. Troy Solutions of Third-Order Differential
Equations Relevant to Draining and
Coating Flows . . . . . . . . . . . . . 155--171
K. Narita Asymptotic Behavior of Solutions of SDE
for Relaxation Oscillations . . . . . . 172--199
Roswitha März and
Ewa B. Weinmüller Solvability of Boundary Value Problems
for Systems of Singular
Differential-Algebraic Equations . . . . 200--215
Vladimir Andrievskii Uniform Harmonic Approximation on
Compact Sets in $ \mathbf {R}^k, \; k
\geq 3 $ . . . . . . . . . . . . . . . . 216--222
Aatos Lahtinen Positive Hermite Interpolation by
Quadratic Splines . . . . . . . . . . . 223--233
I. Yad-Shalom Subdivision Schemes Determined by
Coefficients of a Hurwitz Polynomial . . 234--245
Bradley K. Alpert A Class of Bases in $ L^2 $ for the
Sparse Representation of Integral
Operators . . . . . . . . . . . . . . . 246--262
Charles K. Chui and
Xian Liang Shi Inequalities of Littlewood--Paley Type
for Frames and Wavelets . . . . . . . . 263--277
Tore Gimse Conservation Laws with Discontinuous
Flux Functions . . . . . . . . . . . . . 279--289
Joel D. Avrin Asymptotic Behavior of One-Step
Combustion Models with Multiple
Reactants on Bounded Domains . . . . . . 290--298
F. Abergel and
D. Hilhorst and
F. Issard-Roch On a Dissolution-Growth Problem with
Surface Tension in the Neighborhood of a
Stationary Solution . . . . . . . . . . 299--316
Noemí Wolanski Global Behavior of Positive Solutions to
Nonlinear-Diffusion Problems with
Nonlinear Absorption Through the
Boundary . . . . . . . . . . . . . . . . 317--326
Bernhard Kawohl and
Howard A. Levine and
Waldemar Velte Buckling Eigenvalues for a Clamped Plate
Embedded in an Elastic Medium and
Related Questions . . . . . . . . . . . 327--340
Makoto Sakai Regularity of Boundaries of Quadrature
Domains in Two Dimensions . . . . . . . 341--364
David Colton and
Peter Hähner Modified Far Field Operators in Inverse
Scattering Theory . . . . . . . . . . . 365--389
Jaime E. Muñoz Rivera Decomposition of the Displacement Vector
Field and Decay Rates in Linear
Thermoelasticity . . . . . . . . . . . . 390--406
Horst R. Thieme Persistence Under Relaxed
Point-Dissipativity (With Application to
an Endemic Model) . . . . . . . . . . . 407--435
C. B. Clemons and
C. K. R. T. Jones A Geometric Proof of the Kwong--McLeod
Uniqueness Result . . . . . . . . . . . 436--443
Steven R. Dunbar Geometric Analysis of a Nonlinear
Boundary Value Problem from Physical
Oceanography . . . . . . . . . . . . . . 444--465
Arnaldo S. Do Nascimento Boundary and Interior Spike Layer
Formation for an Elliptic Equation with
Symmetry . . . . . . . . . . . . . . . . 466--479
Lige Li and
Yaping Liu Spectral and Nonlinear Effects in
Certain Elliptic Systems of Three
Variables . . . . . . . . . . . . . . . 480--498
Ingrid Daubechies Orthonormal Bases of Compactly Supported
Wavelets II Variations on a Theme . . . 499--519
A. Cohen and
Ingrid Daubechies Orthonormal Bases of Compactly Supported
Wavelets III. Better Frequency
Resolution . . . . . . . . . . . . . . . 520--527
D. S. Lubinsky and
E. B. Saff Markov--Bernstein and Nikol\cprimeski\uì
inequalities, and Christoffel functions
for exponential weights on $ ( - 1, 1) $ 528--556
Mark S. Ashbaugh and
Rafael D. Benguria Universal Bounds for the Low Eigenvalues
of Neumann Laplacians in $N$ Dimensions 557--570
Vincent Giovangigli An Existence Theorem for a Free Boundary
Problem of Hypersonic Flow Theory . . . 571--582
Franti\vsek Chvála and
Tommy Gustafsson and
Rolf Pettersson On Solutions to the Linear Boltzmann
Equation with External Electromagnetic
Force . . . . . . . . . . . . . . . . . 583--602
José M. Vega On the Amplitude Equations Arising at
the Onset of the Oscillatory Instability
in Pattern Formation . . . . . . . . . . 603--617
Roberto Gianni and
Paola Mannucci Some Existence Theorems for an
$N$-Dimensional Parabolic Equation with
a Discontinuous Source Term . . . . . . 618--633
M. E. Brewster Thin Plates and Compressive Membrane
Solutions II: A Nonexistence Result . . 634--647
Donal O'Regan Some General Existence Principles and
Results for $ (\phi (y')) = q f(t, y,
y'), 0 < t < 1 $ . . . . . . . . . . . . . 648--668
W. Rother Negative Eigenvalues for a Nonlinear
Differential Equation on $ \mathbf {R} $ 669--680
Krzysztof Wysocki Some Ergodic Theorems for Solutions of
Homogeneous Differential Equations . . . 681--702
A. G. Miamee Explicit Formula for the Best Linear
Predictor of Periodically Correlated
Sequences . . . . . . . . . . . . . . . 703--711
Charles K. Chui and
Chun Li Nonorthogonal Wavelet Packets . . . . . 712--738
M. Duval-Destin and
M. A. Muschietti and
B. Torresani Continuous Wavelet Decompositions,
Multiresolution, and Contrast Analysis 739--755
F. W. J. Olver Exponentially-improved asymptotic
solutions of ordinary differential
equations. I. The confluent
hypergeometric function . . . . . . . . 756--767
R. Koekoek and
H. G. Meijer A Generalization of Laguerre Polynomials 768--782
Yuan Xu On Multivariate Orthogonal Polynomials 783--794
Tom H. Koornwinder Askey--Wilson Polynomials as Zonal
Spherical Functions on the $
{\operatorname {SU}}(2) $ Quantum Group 795--813
Lee Lorch Some Inequalities for the First Positive
Zeros of Bessel Functions . . . . . . . 814--823
Julian Edward Spectra of Jacobi Matrices, Differential
Equations on the Circle, and the $ {\rm
su}(1, 1) $ Lie Algebra . . . . . . . . 824--831
Antonio Greco and
Giovanni Porru Convexity of Solutions to Some Elliptic
Partial Differential Equations . . . . . 833--839
Haitao Fan One-Phase Riemann Problem and Wave
Interactions in Systems of Conservation
Laws of Mixed Type . . . . . . . . . . . 840--865
S. M. Sun and
M. C. Shen Solitary Waves in a Two-Layer Fluid with
Surface Tension . . . . . . . . . . . . 866--891
James A. Donaldson and
Daniel A. Williams The Linear Shallow Water Theory: A
Mathematical Justification . . . . . . . 892--910
John A. Nohel and
Robert L. Pego Nonlinear Stability and Asymptotic
Behavior of Shearing Motions of a
Non-Newtonian Fluid . . . . . . . . . . 911--942
J. M. Greenberg and
Anne Nouri Antiplane Shearing Motions of a
Visco-Plastic Solid . . . . . . . . . . 943--967
I. Gasser and
P. Szmolyan A Geometric Singular Perturbation
Analysis of Detonation and Deflagration
Waves . . . . . . . . . . . . . . . . . 968--986
Konstantin Mischaikow and
Vivian Hutson Travelling Waves for Mutualist Species 987--1008
I-Heng McComb and
Chjan C. Limt Stability of equilibria for a class of
time-reversible, $ D_n \times {\rm O}(2)
$-symmetric homogeneous vector fields 1009--1029
Gustaf Gripenberg Unconditional Bases of Wavelets for
Sobolev Spaces . . . . . . . . . . . . . 1030--1042
E. Quak and
N. Sivakumar and
J. D. Ward Least Squares Approximation by Radial
Functions . . . . . . . . . . . . . . . 1043--1066
George Benke and
W. J. Hendricks Estimates for Large Deviations in Random
Trigonometric Polynomials . . . . . . . 1067--1085
Jyoichi Kaneko Selberg Integrals and Hypergeometric
Functions Associated with Jack
Polynomials . . . . . . . . . . . . . . 1086--1110
Michael Shearer and
David G. Schaeffer The Initial Value Problem for a System
Modelling Unidirectional Longitudinal
Elastic-Plastic Waves . . . . . . . . . 1111--1144
Stanley Osher A Level Set Formulation for the Solution
of the Dirichlet Problem for
Hamilton--Jacobi Equations . . . . . . . 1145--1152
Tien Yu Sun Three-Dimensional Steady Water Waves
Generated by Partially Localized
Pressure Disturbances . . . . . . . . . 1153--1178
Konstantin Mischaikow and
James F. Reineck Travelling Waves in Predator-Prey
Systems . . . . . . . . . . . . . . . . 1179--1214
Eric Todd Quinto Singularities of the X-Ray Transform and
Limited Data Tomography in $ \mathbb
{R}^2 $ and $ \mathbb {R}^3 $ . . . . . 1215--1225
Youcef Amirat and
Kamel Hamdache and
Abdelhamid Ziani Homogenization of Degenerate Wave
Equations with Periodic Coefficients . . 1226--1253
Victor A. Galaktionov and
Juan L. Vázquez Regional Blow Up in a Semilinear Heat
Equation with Convergence to a
Hamilton--Jacobi Equation . . . . . . . 1254--1276
Chao Liang Shen On the nodal sets of the eigenfunctions
of certain homogeneous and
nonhomogeneous membranes . . . . . . . . 1277--1282
Patricia Bauman and
Neil N. Carlson and
Daniel Phillips On the Zeros of Solutions to
Ginzburg--Landau Type Systems . . . . . 1283--1293
Alessandro Fonda and
Raul Manasevich and
Fabio Zanolin Subharmonic Solutions for Some
Second-Order Differential Equations with
Singularities . . . . . . . . . . . . . 1294--1311
Peter Hess and
Peter Polá\vcik Boundedness of Prime Periods of Stable
Cycles and Convergence to Fixed Points
in Discrete Monotone Dynamical Systems 1312--1330
Bao Rong Tang and
Yang Kuang and
Hal Smith Strictly Nonautonomous Cooperative
System with a First Integral . . . . . . 1331--1339
A. Cohen and
I. Daubechies On the Instability of Arbitrary
Biorthogonal Wavelet Packets . . . . . . 1340--1354
Albert Cohen and
Qi Yu Sun An Arithmetic Characterization of the
Conjugate Quadrature Filters Associated
to Orthonormal Wavelet Bases . . . . . . 1355--1360
Nicholas Pippenger An Elementary Approach to Some Analytic
Asymptotics . . . . . . . . . . . . . . 1361--1377
Jayakumar Ramanathan and
Pankaj Topiwala Time-Frequency Localization via the Weyl
Correspondence . . . . . . . . . . . . . 1378--1393
K. A. Ames and
L. E. Payne and
P. W. Schaefer Spatial Decay Estimates in
Time-Dependent Stokes Flow . . . . . . . 1395--1413
G. I. Barenblatt and
M. Bertsch and
R. Dal Passo and
M. Ughi A Degenerate Pseudoparabolic
Regularization of a Nonlinear
Forward-Backward Heat Equation Arising
in the Theory of Heat and Mass Exchange
in Stably Stratified Turbulent Shear
Flow . . . . . . . . . . . . . . . . . . 1414--1439
Martin Reissel On a Transmission Boundary-Value Problem
for the Time-Harmonic Maxwell Equations
Without Displacement Currents . . . . . 1440--1457
C. Hazard and
M. Lenoir Determination of Scattering Frequencies
for an Elastic Floating Body . . . . . . 1458--1514
Ming Xin Wang and
Yong Hui Wu Global Existence and Blow-up Problems
for Quasilinear Parabolic Equations with
Nonlinear Boundary Conditions . . . . . 1515--1521
W. B. Liu and
John W. Barrett Higher-Order Regularity for the
Solutions of Some Degenerate Quasilinear
Elliptic Equations in the Plane . . . . 1522--1536
Phan Thien Thach Global Optimality Criterion and a
Duality with a Zero Gap in Nonconvex
Optimization . . . . . . . . . . . . . . 1537--1556
P. P. B. Eggermont Maximum Entropy Regularization for
Fredholm Integral Equations of the First
Kind . . . . . . . . . . . . . . . . . . 1557--1576
Marie-Christine Pérou\`eme Bifurcation from a Periodic Orbit for a
Strongly Resonant Reversible Autonomous
Vector Field . . . . . . . . . . . . . . 1577--1596
Calvin Ahlbrandt Continued Fraction Representations of
Maximal and Minimal Solutions of a
Discrete Matrix Riccati Equation . . . . 1597--1621
Mark S. Ashbaugh and
Rafael D. Benguria More Bounds on Eigenvalue Ratios for
Dirichlet Laplacians in $N$ Dimensions 1622--1651
Z. Ditzian and
D. Jiang and
D. Leviatan Simultaneous Polynomial Approximation 1652--1661
V. C. Prasad and
P. B. L. Gaur A Note on the Generalised Katzenelson's
Method for Piecewise Linear Resistive
Networks . . . . . . . . . . . . . . . . 1662--1665
W. M. Zaj\kaczkowski On Nonstationary Motion of a
Compressible Barotropic Viscous
Capillary Fluid Bounded by a Free
Surface . . . . . . . . . . . . . . . . 1--84
Harumi Hattori and
De Ning Li Solutions for Two-Dimensional System for
Materials of Korteweg Type . . . . . . . 85--98
Masaharu Taniguchi and
Yasumasa Nishiura Instability of Planar Interfaces in
Reaction-Diffusion Systems . . . . . . . 99--134
B. A. Mair Tikhonov Regularization for Finitely and
Infinitely Smoothing Operators . . . . . 135--147
Marc Diener Regularizing Microscopes and Rivers . . 148--173
Erwin Kreyszig A New Standard Isometry of Developable
Surfaces in CAD/CAM . . . . . . . . . . 174--178
Brian Hassard and
Jianhe Zhang Existence of a Homoclinic Orbit of the
Lorenz System by Precise Shooting . . . 179--196
H. T. Koelink The Addition Formula for Continuous
$q$-Legendre Polynomials and Associated
Spherical Elements on the $ {\rm SU}(2)$
Quantum Group Related to Askey--Wilson
Polynomials . . . . . . . . . . . . . . 197--217
M. A. Lohe and
L. C. Biedenharn Basic hypergeometric functions and the
Borel--Weil construction for $ {\rm
U}_q(3) $ . . . . . . . . . . . . . . . 218--241
George Andrews and
George Gasper and
Mourad Ismail and
Paul Nevai Dedication . . . . . . . . . . . . . . . vii--ix
G. E. Andrews and
D. M. Jackson and
T. I. Visentin A Hypergeometric Analysis of the Genus
Series for a Class of $2$-Cell
Embeddings in Orientable Surfaces . . . 243--255
Kazuhiko Aomoto On Connection Coefficients for
$q$-Difference Systems of $A$-Type
Jackson Integrals . . . . . . . . . . . 256--273
L. C. Biedenharn and
A. K. Çiftçi Group Theoretical Interpretations of
Special Function Identities: Two
Examples . . . . . . . . . . . . . . . . 274--287
B. C. Carlson and
J. L. Gustafson Asymptotic Approximations for Symmetric
Elliptic Integrals . . . . . . . . . . . 288--303
A. B. Olde Daalhuis and
N. M. Temme Uniform Airy-Type Expansions of
Integrals . . . . . . . . . . . . . . . 304--321
T. M. Dunster Uniform Asymptotic Solutions of
Second-Order Linear Differential
Equations Having a Simple Pole and a
Coalescing Turning Point in the Complex
Plane . . . . . . . . . . . . . . . . . 322--353
Árpád Elbert and
Martin E. Muldoon On the Derivative with Respect to a
Parameter of a Zero of a
Sturm--Liouville Function . . . . . . . 354--364
Tamás Erdélyi and
Xin Li and
E. B. Saff Remez- and Nikol\cprimeski\u\i-type
inequalities for logarithmic potentials 365--383
George Gasper and
Walter Trebels On Necessary Multiplier Conditions for
Laguerre Expansions II . . . . . . . . . 384--391
Jeffrey S. Geronimo Scattering Theory, Orthogonal
Polynomials, and $q$-Series . . . . . . 392--419
William M. Y. Goh and
Jet Wimp On the Asymptotics of the
Tricomi--Carlitz Polynomials and Their
Zero Distribution (I) . . . . . . . . . 420--428
Dharma P. Gupta and
David R. Masson Watson's Basic Analogue of Ramanujan's
Entry $ 40 $ and Its Generalization . . 429--440
Robert A. Gustafson Some $q$-Beta Integrals on $ {\rm
SU}(n)$ and $ {\rm Sp}(n)$ That
Generalize the Askey--Wilson and
Nasrallah--Rahman Integrals . . . . . . 441--449
P. Heywood and
P. G. Rooney On the Struve Transformation . . . . . . 450--461
Mourad E. H. Ismail Asymptotics of Pollaczek polynomials and
their zeros . . . . . . . . . . . . . . 462--473
D. S. Jones Asymptotic Remainders . . . . . . . . . 474--490
William B. Jones and
Olav Njåstad and
Haakon Waadeland Application of Szeg\Ho Polynomials to
Frequency Analysis . . . . . . . . . . . 491--512
E. G. Kalnins and
W. Miller, Jr. and
S. Mukherjee Models of $Q$-Algebra Representations:
The Group of Plane Motions . . . . . . . 513--527
Jean Letessier Some Results on Co-Recursive Associated
Laguerre and Jacobi Polynomials . . . . 528--548
Lee Lorch and
Peter Szego Bounds and Monotonicities for the Zeros
of Derivatives of Ultraspherical Bessel
Functions . . . . . . . . . . . . . . . 549--554
Doron S. Lubinsky and
Vilmos Totik Best Weighted Polynomial Approximation
Via Jacobi Expansions . . . . . . . . . 555--570
Stephen C. Milne The $ C_\ell $ Rogers--Selberg Identity 571--595
Jolanta K. Misiewicz and
Donald St. P. Richards Positivity of Integrals of Bessel
Functions . . . . . . . . . . . . . . . 596--601
Paul Nevai and
Tamás Erdélyi and
Alphonse P. Magnus Generalized Jacobi Weights, Christoffel
Functions, and Jacobi Polynomials . . . 602--614
Robert E. O'Malley, Jr. and
Leonid V. Kalachev Regularization of Nonlinear
Differential-Algebraic Equations . . . . 615--629
R. B. Paris A Generalization of Pearcey's Integral 630--645
Mizan Rahman and
Sergei K. Suslov The Pearson Equation and the Beta
Integrals . . . . . . . . . . . . . . . 646--693
G.-. C. Rota and
B. D. Taylor The Classical Umbral Calculus . . . . . 694--711
R. Simion and
D. Stanton Specializations of Generalized Laguerre
Polynomials . . . . . . . . . . . . . . 712--719
Renato Spigler and
Marco Vianello Discrete and Continuous
Liouville--Green--Olver Approximations:
A Unified Treatment Via
Volterra--Stieltjes Integral Equations 720--732
W. J. Thron Truncation Error for Limit Periodic
Schur Algorithms . . . . . . . . . . . . 733--748
Galliano Valent Asymptotic Analysis of Some Associated
Orthogonal Polynomials Connected with
Elliptic Functions . . . . . . . . . . . 749--775
R. Wong and
J.-M. Zhang On the Relative Extrema of the Jacobi
Polynomials $ P_n^{(0, - 1)}(x) $ . . . 776--811
Doron Zeilberger Towards a $ W Z $ Evolution of the Mehta
Integral . . . . . . . . . . . . . . . . 812--814
Patrizia Pucci and
James Serrin Asymptotic Stability for Intermittently
Controlled Nonlinear Oscillators . . . . 815--835
Carlos Conca and
Enrike Zuazua Asymptotic Analysis of a
Multidimensional Vibrating Structure . . 836--858
Marie-Françoise Bidaut-Veron and
Mustapha Bouhar On Characterization of Solutions of Some
Nonlinear Differential Equations and
Applications . . . . . . . . . . . . . . 859--875
Yoshikazu Giga and
Shuji Takahashi On Global Weak Solutions of the
Nonstationary Two-Phase Stokes Flow . . 876--893
D. A. Jones and
E. S. Titi A Remark on Quasi-Stationary Approximate
Inertial Manifolds for the
Navier--Stokes Equations . . . . . . . . 894--914
W. P. Kotorynski Dispersion in Pipes with Slowly Varying
Cross-Sections . . . . . . . . . . . . . 915--940
Bo Zhang On a Local Existence Theorem for a
Simplified One-Dimensional Hydrodynamic
Model for Semiconductor Devices . . . . 941--947
V. B. Kolmanovski\u\i and
L. Torelli and
R. Vermiglio Stability of Some Test Equations with
Delay . . . . . . . . . . . . . . . . . 948--961
Kurt Jetter and
Sherman D. Riemenschneider and
Zuowei Shen Hermite Interpolation on the Lattice $
\mathbb {Z}^d $ . . . . . . . . . . . . 962--975
K. H. Kwon and
L. L. Littlejohn and
B. H. Yoo Characterizations of Orthogonal
Polynomials Satisfying Differential
Equations . . . . . . . . . . . . . . . 976--990
Yuan Xu On Zeros of Multivariate
Quasi-Orthogonal Polynomials and
Gaussian Cubature Formulae . . . . . . . 991--1001
Mizan Rahman and
Sergei K. Suslov Barnes and Ramanujan-Type Integrals on
the $q$-Linear Lattice . . . . . . . . . 1002--1022
Anonymous Acknowlegment . . . . . . . . . . . . . vi
Alfred J. Bourgeois and
J. Thomas Beale Validity of the Quasigeostrophic Model
for Large-Scale Flow in the Atmosphere
and Ocean . . . . . . . . . . . . . . . 1023--1068
Heikki Haario and
Thomas I. Seidman Reaction and Diffusion at a Gas/Liquid
Interface. II . . . . . . . . . . . . . 1069--1084
Jesus Ildefonso Diaz and
François de Thélin On a Nonlinear Parabolic Problem Arising
in Some Models Related to Turbulent
Flows . . . . . . . . . . . . . . . . . 1085--1111
Kazuo Ito On a Globally Existing Solution to the
Inviscid Burgers Equation with a
Nonlocal Term . . . . . . . . . . . . . 1112--1121
Andrea Colesanti A Variational Problem for Harmonic
Functions in Ring-Shaped Domains with
Partially Free Boundary . . . . . . . . 1122--1127
S. N. Antontsev and
M. Chipot The Thermistor Problem: Existence,
Smoothness, Uniqueness, Blowup . . . . . 1128--1156
Guang Wei Yuan and
Zu Han Liu Existence and Uniqueness of the $
{C}^\alpha $-Solution for the Thermistor
Problem with Mixed Boundary Value . . . 1157--1166
H. C. Akuezue and
R. L. Baker and
M. W. Hirsch The Qualitative Analysis of a Dynamical
System Modeling the Formation of
Multilayer Scales on Pure Metals . . . . 1167--1175
Renato E. Mirollo Splay-Phase Orbits for Equivariant Flows
on Tori . . . . . . . . . . . . . . . . 1176--1180
James Louisell A Velocity Functional for an Analysis of
Stability in Delay-Differential
Equations . . . . . . . . . . . . . . . 1181--1194
Takao Fujimoto and
Ulrich Krause Stable Inhomogeneous Iterations of
Nonlinear Positive Operators on Banach
Spaces . . . . . . . . . . . . . . . . . 1195--1202
Yoshishige Haraoka Canonical Forms of Differential
Equations Free From Accessory Parameters 1203--1226
X. M. Yu and
S. P. Zhou On Monotone Spline Approximation . . . . 1227--1239
Chang Hao Lin and
L. E. Payne The Influence of Domain and Diffusivity
Perturbations on the Decay of End
Effects in Heat Conduction . . . . . . . 1241--1258
G. Alessandrini and
R. Magnanini Elliptic Equations in Divergence Form,
Geometric Critical Points of Solutions,
and Stekloff Eigenfunctions . . . . . . 1259--1268
C. Foias and
R. Temam Approximation of Attractors by Algebraic
or Analytic Sets . . . . . . . . . . . . 1269--1302
A. \Lada Investigations of Solutions of Nonlinear
Hyperbolic Equations with a Small
Nonlinearity and Applications . . . . . 1303--1319
Yoshihisa Morita and
Hirokazu Ninomiya and
Eiji Yanagida Nonlinear Perturbation of Boundary
Values for Reaction-Diffusion Systems:
Inertial Manifolds and Their
Applications . . . . . . . . . . . . . . 1320--1356
Michael L. Frankel and
Victor Roytburd A Free Boundary Problem Modeling Thermal
Instabilities: Well-Posedness . . . . . 1357--1374
Jin Liang On a Nonlinear Integrodifferential
Drift-Diffusion Semiconductor Model . . 1375--1392
Rafael Ortega The Stability of the Equilibrium of a
Nonlinear Hill's Equation . . . . . . . 1393--1401
L. A. Skinner Matched Expansion Solutions of the
First-Order Turning Point Problem . . . 1402--1411
Akram Aldroubi and
Murray Eden and
Michael Unser Discrete Spline Filters for
Multiresolutions and Wavelets of $ l_2 $ 1412--1432
Lars F. Villemoes Wavelet Analysis of Refinement Equations 1433--1460
Tamás Erdélyi and
Alphonse P. Magnus and
Paul Nevai Erratum: ``Generalized Jacobi weights,
Christoffel functions, and Jacobi
polynomials'' . . . . . . . . . . . . . 1461--1461
Jonathan Goodman and
Anders Szepessy and
Kevin Zumbrun A Remark on the Stability of Viscous
Shock Waves . . . . . . . . . . . . . . 1463--1467
Carsten Carstensen Interface Problems in Viscoplasticity
and Plasticity . . . . . . . . . . . . . 1468--1487
Nakao Hayashi and
Tohru Ozawa Finite Energy Solutions of Nonlinear
Schrödinger Equations of Derivative Type 1488--1503
G. Bard Ermentrout and
W. C. Troy Phaselocking in a Reaction-Diffusion
Equation with Twist . . . . . . . . . . 1504--1520
B. F. Esham and
R. J. Weinacht Singular Perturbations and the
Coupled/Quasi-Static Approximation in
Linear Thermoelasticity . . . . . . . . 1521--1536
X. Li and
R. Wong Error Bounds for Asymptotic Expansions
of Laplace Convolutions . . . . . . . . 1537--1553
Alfonso Castro and
Jorge Cossio Multiple Solutions for a Nonlinear
Dirichlet Problem . . . . . . . . . . . 1554--1561
Hendrik W. K. Angad-Gaur and
Bernard Gaveau and
Masami Okada Explicit Heat Kernel on Generalized
Cones . . . . . . . . . . . . . . . . . 1562--1576
Yan Ping Lin Analytical and Numerical Solutions for a
Class of Nonlocal Nonlinear Parabolic
Differential Equations . . . . . . . . . 1577--1594
Yoshishige Haraoka Monodromy Representations of Systems of
Differential Equations Free From
Accessory Parameters . . . . . . . . . . 1595--1621
Thierry Colin Smoothing Effects for Dispersive
Equations Via a Generalized Wigner
Transform . . . . . . . . . . . . . . . 1622--1641
Borislav Bojanov Characterization of the Smoothest
Interpolant . . . . . . . . . . . . . . 1642--1655
Jean-François Mallordy and
Jean-Michel Roquejoffre A Parabolic Equation of the KPP Type in
Higher Dimensions . . . . . . . . . . . 1--20
Christopher P. Grant Slow Motion in One-Dimensional
Cahn--Morral Systems . . . . . . . . . . 21--34
Hwei Ting Lin On a System of Integrodifference
Equations Modelling the Propagation of
Genes . . . . . . . . . . . . . . . . . 35--76
Ryuichi Suzuki Blow-up Solutions of Quasi-Linear
Degenerate Parabolic Equations with
Convection . . . . . . . . . . . . . . . 77--97
Keng Deng Dynamical Behavior of Solutions of a
Semilinear Heat Equation with Nonlocal
Singularity . . . . . . . . . . . . . . 98--111
H. Freistühler and
P. Szmolyan Existence and Bifurcation of Viscous
Profiles for All Intermediate
Magnetohydrodynamic Shock Waves . . . . 112--128
Gang Bao and
William W. Symes Time-Like Trace Regularity of the Wave
Equation with a Nonsmooth Principal Part 129--146
Michael V. Klibanov and
Olga V. Ioussoupova Uniform Strict Convexity of a Cost
Functional for Three-Dimensional Inverse
Scattering Problem . . . . . . . . . . . 147--179
Philip Korman and
Tiancheng Ouyang Multiplicity Results for Two Classes of
Boundary-Value Problems . . . . . . . . 180--189
Bruce B. Peckham and
Christos E. Frouzakis and
Ioannis G. Kevrekidis Bananas and Banana Splits: A Parametric
Degeneracy in the Hopf Bifurcation for
Maps . . . . . . . . . . . . . . . . . . 190--217
Vassilis G. Papanicolaou Trace Formulas and the Behaviour of
Large Eigenvalues . . . . . . . . . . . 218--237
D. S. Lubinsky and
D. M. Matjila Necessary and Sufficient Conditions for
Mean Convergence of Lagrange
Interpolation for Freud Weights . . . . 238--262
Gen Nakamura and
Gunther Uhlmann Inverse Problems at the Boundary for an
Elastic Medium . . . . . . . . . . . . . 263--279
I. Fonseca and
W. Gangbo Local Invertibility of Sobolev Functions 280--304
Jesus Ildefonso Diaz and
Ivar Stakgold Mathematical Aspects of the Combustion
of a Solid by a Distributed Isothermal
Gas Reaction . . . . . . . . . . . . . . 305--328
Yong Zhang Positive Solutions of Singular Sublinear
Dirichlet Boundary Value Problems . . . 329--339
Yukio Kan-on Parameter Dependence of Propagation
Speed of Travelling Waves for
Competition-Diffusion Equations . . . . 340--363
Naoufel Ben Abdallah and
Pierre Degond The Child--Langmuir Law for the
Boltzmann Equation of Semiconductors . . 364--398
Danielle D. Carr Global Existence of Solutions to
Reaction-Hyperbolic Systems in One Space
Dimension . . . . . . . . . . . . . . . 399--414
Alexandre Nolasco De Carvalho and
José Gaspar Ruas-Filho Global Attractors for Parabolic Problems
in Fractional Power Spaces . . . . . . . 415--427
Charles S. C. Lin and
Bin Yang and
Fudong Chen On Stability of a Dynamical System . . . 428--435
Yulin Cao Multiexistence of Slowly Oscillating
Periodic Solutions for Differential
Delay Equations . . . . . . . . . . . . 436--445
W. D. Evans and
Lance L. Littlejohn and
Francisco Marcellan and
Clemens Markett and
Andre Ronveaux On Recurrence Relations for Sobolev
Orthogonal Polynomials . . . . . . . . . 446--467
H. Berens and
H. J. Schmid and
Y. Xu On Two-Dimensional Definite Orthogonal
Systems and a Lower Bound for the Number
of Nodes of Associated Cubature Formulae 468--487
Bo Gao and
Donald J. Newman and
V. A. Popov Convex Approximation by Rational
Functions . . . . . . . . . . . . . . . 488--499
Debao Chen Spline Wavelets of Small Support . . . . 500--517
Tai-Ping Liu and
Long An Ying Nonlinear Stability of Strong
Detonations for a Viscous Combustion
Model . . . . . . . . . . . . . . . . . 519--528
Serge Alinhac Approximation pr\`es du temps
d'explosion des solutions d'équations
d'onde quasi-linéaires en dimension deux.
(French) [Approximation near the blow-up
time of solutions of two-dimensional
quasilinear wave equations] . . . . . . 529--565
Anne de Bouard Instability of Stationary Bubbles . . . 566--582
Robert Carlson Hearing Point Masses in a String . . . . 583--600
David Colton and
Rainer Kress Eigenvalues of the Far Field Operator
and Inverse Scattering Theory . . . . . 601--615
David C. Barnes and
Roger Knobel The Inverse Eigenvalue Problem with
Finite Data for Partial Differential
Equations . . . . . . . . . . . . . . . 616--632
Srdjan Stojanovic and
Thomas Svobodny Free Boundary Problems for Potential and
Stokes Flows Via Nonsmooth Analysis . . 633--658
Youcef Amirat and
Mohand Moussaoui Analysis of a One-Dimensional Model for
Compressible Miscible Displacement in
Porous Media . . . . . . . . . . . . . . 659--674
Victor A. Galaktionov On Asymptotic Self-Similar Behaviour for
a Quasilinear Heat Equation: Single
Point Blow-Up . . . . . . . . . . . . . 675--693
Ivan G. Götz and
Boris Zaltzman Two-Phase Stefan Problem with
Supercooling . . . . . . . . . . . . . . 694--714
Fatiha Alabau New Uniqueness Theorems for the
One-Dimensional Drift- Diffusion
Semiconductor Device Equations . . . . . 715--737
Jong Uhn Kim Local Regularity of the One-Dimensional
Motion of a Viscoelastic Medium . . . . 738--749
Robert Peszek Oscillations of Solutions to the
Two-Dimensional Broadwell Model, an
$H$-Measure Approach . . . . . . . . . . 750--760
Jet Wimp and
Bernhard Beckermann Families of Two-Point Padé Approximants
and Some ${}_4 F_3 (1)$ Identities . . . 761--773
Ulrich Hornung and
R. E. Showalter Elliptic-Parabolic Equations with
Hysteresis Boundary Conditions . . . . . 775--790
Hi Jun Choe and
Jongsik Kim Regularity for the Interfaces of
Evolutionary $p$-Laplacian Functions . . 791--819
Jyrki Piila and
Juhani Pitkäranta Energy Estimates Relating Different
Linear Elastic Models of a Thin
Cylindrical Shell II: The Case of Free
Boundary . . . . . . . . . . . . . . . . 820--849
A. Nouri and
M. Rascle A Global Existence and Uniqueness
Theorem for a Model Problem in Dynamic
Elasto-Plasticity with Isotropic
Strain-Hardening . . . . . . . . . . . . 850--868
Jonq Juang On Coupled Integral $H$-Like Equations
of Chandrasekhar . . . . . . . . . . . . 869--879
Élisabeth Croc and
Yves Dermenjian Analyse spectrale d'une bande acoustique
multistratifiée. I. Principe d'absorption
limite pour une stratification simple.
(French) [Spectral analysis of a
multistratified acoustic strip. I.
Limiting absorption principle for a
simple stratification] . . . . . . . . . 880--924
M. A. Muschietti and
B. Torrésani Pyramidal Algorithms for
Littlewood--Paley Decompositions . . . . 925--943
Alain Joye and
Charles-Edouard Pfister Semiclassical Asymptotics beyond All
Orders for Simple Scattering Systems . . 944--977
Richard Moeckel and
Carles Simó Bifurcation of Spatial Central
Configurations from Planar Ones . . . . 978--998
Helge Holden and
Nils Henrik Risebro A Mathematical Model of Traffic Flow on
a Network of Unidirectional Roads . . . 999--1017
Ka-Sing Lau and
Jianrong Wang Characterization of $ {L}^p$-Solutions
for the Two-Scale Dilation Equations . . 1018--1046
Q. Kong and
A. Zettl Interval Oscillation Conditions for
Difference Equations . . . . . . . . . . 1047--1060
Zuowei Shen Nontensor Product Wavelet Packets in $
L_2 (\mathbf {R}^s) $ . . . . . . . . . 1061--1074
Hans Volkmer Asymptotic Regularity of Compactly
Supported Wavelets . . . . . . . . . . . 1075--1087
Avner Friedman and
David S. Ross and
Jianhua Zhang A Stefan Problem for a
Reaction-Diffusion System . . . . . . . 1089--1112
Guy Bayada and
Mich\`ele Chambat On Interface Conditions for a Thin Film
Flow Past a Porous Medium . . . . . . . 1113--1129
Shuichi Kawashima and
Harumi Hattori Existence of Shock Profiles for
Viscoelastic Materials with Memory . . . 1130--1142
A. Nouri and
F. Poupaud Stationary Solutions of Boundary Value
Problems for a Maxwell--Boltzmann System
Modelling Degenerate Semiconductors . . 1143--1156
Yong Liu The Equilibrium Plasma Subject to Skin
Effect . . . . . . . . . . . . . . . . . 1157--1183
Andrea Braides Lower Semicontinuity Conditions for
Functionals on Jumps and Creases . . . . 1184--1198
Konstantin Mischaikow Global Asymptotic Dynamics of
Gradient-Like Bistable Equations . . . . 1199--1224
J. J. Morgan and
S. L. Hollis The Existence of Periodic Solutions to
Reaction-Diffusion Systems with Periodic
Data . . . . . . . . . . . . . . . . . . 1225--1232
M. Levi and
E. Zehnder Boundedness of Solutions for
Quasiperiodic Potentials . . . . . . . . 1233--1256
Carmen Chicone Periodic Solutions of a System of
Coupled Oscillators Near Resonance . . . 1257--1283
Tassilo Küpper and
Thomas Mrziglod On the Bifurcation Structure of
Nonlinear Perturbations of Hill's
Equations at Boundary Points of the
Continuous Spectrum . . . . . . . . . . 1284--1305
F. G. Boese Stability Criteria for Second-Order
Dynamical Systems Involving Several Time
Delays . . . . . . . . . . . . . . . . . 1306--1330
Peng Fei Yao On the Inversion of the Laplace
Transform of $ {C}_0 $ Semigroups and
Its Applications . . . . . . . . . . . . 1331--1341
Bernhard Ruf Higher Singularities and Forced
Secondary Bifurcation . . . . . . . . . 1342--1360
Loïc Hervé Construction et regularité des fonctions
d'échelle (French) [Construction and
regularity of scaling functions] . . . . 1361--1385
Sônia M. Gomes and
Elsa Cortina Some Results on the Convergence of
Sampling Series Based on Convolution
Integrals . . . . . . . . . . . . . . . 1386--1402
C. M. Dafermos Stability for Systems of Conservation
Laws in Several Space Dimensions . . . . 1403--1414
M. Slemrod A Comparison of Two Viscous
Regularizations of the Riemann Problem
for Burgers's Equation . . . . . . . . . 1415--1424
Stefan Diehl On Scalar Conservation Laws with Point
Source and Discontinuous Flux Function 1425--1451
Jacob Rubinstein and
Peter Sternberg On the Slow Motion of Vortices in the
Ginzburg--Landau Heat Flow . . . . . . . 1452--1466
B. L. Fridman A Uniqueness Result for a Generalized
Radon Transform . . . . . . . . . . . . 1467--1472
Paul Duchateau Monotonicity and Invertibility of
Coefficient-to-Data Mappings for
Parabolic Inverse Problems . . . . . . . 1473--1487
Bing Yu Zhang Analyticity of Solutions of the
Generalized Korteweg--de Vries Equation
with Respect to Their Initial Values . . 1488--1513
Ricardo H. Nochetto and
Claudio Verdi Convergence of Double Obstacle Problems
to the Generalized Geometric Motion of
Fronts . . . . . . . . . . . . . . . . . 1514--1526
Yue Liu Instability and Blow-up of Solutions to
a Generalized Boussinesq Equation . . . 1527--1546
Jaime E. Muñoz Rivera and
Reinhard Racke Smoothing Properties, Decay, and Global
Existence of Solutions to Nonlinear
Coupled Systems of Thermoelastic Type 1547--1563
Michael K. Gordon Perturbed Scale-Invariant Initial Value
Problems in One-Dimensional Dynamic
Elastoplasticity . . . . . . . . . . . . 1564--1587
Chao Cheng Huang and
Jiong Min Yong Coupled Parabolic and Hyperbolic
Equations Modeling Age-Dependent
Epidemic Dynamics with Nonlinear
Diffusion . . . . . . . . . . . . . . . 1588--1610
Gregor Kova\vci\vc Singular Perturbation Theory for
Homoclinic Orbits in a Class of Near-
Integrable Dissipative Systems . . . . . 1611--1643
M. K. Vemuri A Simple Proof of Fryant's Theorem . . . 1644--1646
Holger Dette New Bounds for Hahn and Krawtchouk
Polynomials . . . . . . . . . . . . . . 1647--1659 (or 1647--1662??)
Lawrence C. Evans An Unusual Minimization Principle for
Parabolic Gradient Flows . . . . . . . . 1--4
Yoshikazu Giga and
Noriko Mizoguchi Existence of Periodic Solutions for
Equations of Evolving Curves . . . . . . 5--39
G. Da Prato and
L. Tubaro Fully Nonlinear Stochastic Partial
Differential Equations . . . . . . . . . 40--55
Paul Concus and
Robert Finn Capillary Wedges Revisited . . . . . . . 56--69
L. Hsiao and
D. Serre Global Existence of Solutions for the
System of Compressible Adiabatic Flow
through Porous Media . . . . . . . . . . 70--77
R. Quintanilla A Spatial Decay Estimate for the
Hyperbolic Heat Equation . . . . . . . . 78--91
Naoufel Ben Abdallah Convergence of the Child--Langmuir
Asymptotics of the Boltzmann Equation of
Semiconductors . . . . . . . . . . . . . 92--109
Ovidiu Costin and
Rodica Costin Rigorous WKB for Finite-Order Linear
Recurrence Relations with Smooth
Coefficients . . . . . . . . . . . . . . 110--134
Mary M. Legner and
Victor L. Shapiro Time-Periodic Quasi-Linear
Reaction-Diffusion Equations . . . . . . 135--169
José M. Fraile and
José Sabina de Lis Periodic and Positive Wave Front
Solutions of Semilinear Diffusion
Equations . . . . . . . . . . . . . . . 170--203
H. P. Urbach Analysis of the Domain Integral Operator
for Anisotropic Dielectric Waveguides 204--220
Andrzej Lasota and
James A. Yorke When the Long-Time Behavior Is
Independent of the Initial Density . . . 221--240
Lawrence Turyn A Center-Unstable Manifold Theorem for
Parametrically Excited Surface Waves . . 241--257
Leonid V. Kalachev and
Robert E. O'Malley, Jr. The Regularization of Linear
Differential-Algebraic Equations . . . . 258--273
E. Le Gruyer and
J. C. Archer Stability and Convergence of Extension
Schemes to Continuous Functions in
General Metric Spaces . . . . . . . . . 274--285
Jeremy Levesley and
Yuan Xu and
Will Light and
Ward Cheney Convolution Operators for Radial Basis
Approximation . . . . . . . . . . . . . 286--304
W. Christopher Lang Orthogonal Wavelets on the Cantor Dyadic
Group . . . . . . . . . . . . . . . . . 305--312
N. V. Krylov On $ L_p $-Theory of Stochastic Partial
Differential Equations in the Whole
Space . . . . . . . . . . . . . . . . . 313--340
Ulf Janfalk Behaviour in the Limit, as $ p \to
\infty $, of Minimizers of Functionals
Involving $p$-Dirichlet Integrals . . . 341--360
Giovanni Alessandrini and
Elena Beretta and
Sergio Vessella Determining Linear Cracks by Boundary
Measurements: Lipschitz Stability . . . 361--375
Sophia Demoulini Young Measure Solutions for a Nonlinear
Parabolic Equation of Forward-Backward
Type . . . . . . . . . . . . . . . . . . 376--403
Charles M. Elliott and
Harald Garcke On the Cahn--Hilliard Equation with
Degenerate Mobility . . . . . . . . . . 404--423
P. Taká\vc and
P. Bollerman and
A. Doelman and
A. van Harten and
E. S. Titi Analyticity of Essentially Bounded
Solutions to Semilinear Parabolic
Systems and Validity of the
Ginzburg--Landau Equation . . . . . . . 424--448
Ana Carpio Large-Time Behavior in Incompressible
Navier--Stokes Equations . . . . . . . . 449--475
Yuan-Wei Qi The Degeneracy of a Fast-Diffusion
Equation and Stability . . . . . . . . . 476--485
Douglas N. Arnold and
Richard S. Falk Asymptotic Analysis of the Boundary
Layer for the Reissner--Mindlin Plate
Model . . . . . . . . . . . . . . . . . 486--514
F. Bernis and
L. A. Peletier Two Problems from Draining Flows
Involving Third-Order Ordinary
Differential Equations . . . . . . . . . 515--527
Peter Wolfe Global Bifurcation of an Elastic
Conducting Rod in a Magnetic Field . . . 528--542
A. Cañada and
P. Drábek On Semilinear Problems with
Nonlinearities Depending Only on
Derivatives . . . . . . . . . . . . . . 543--557
C. K. R. T. Jones and
Tasso J. Kaper and
Nancy Kopell Tracking Invariant Manifolds up to
Exponentially Small Errors . . . . . . . 558--577
Gustaf Gripenberg On Subdivision Interpolation Schemes . . 578--593
David Bernier and
Keith F. Taylor Wavelets from Square-integrable
Representations . . . . . . . . . . . . 594--608
Tadeusz Iwaniec and
Adam Lutoborski Polyconvex Functionals for Nearly
Conformal Deformations . . . . . . . . . 609--619
Kazuhiro Ishige The Gradient Theory of the Phase
Transitions in Cahn--Hilliard Fluids
with Dirichlet Boundary Conditions . . . 620--637
Stephen H. Davis and
Emmanuele DiBenedetto and
David J. Diller Some A Priori Estimates for a Singular
Evolution Equation Arising in Thin-Film
Dynamics . . . . . . . . . . . . . . . . 638--660
T. Kilpeläinen and
P. Lindqvist On the Dirichlet Boundary Value Problem
for a Degenerate Parabolic Equation . . 661--683
Ronald A. DeVore and
Bradley J. Lucier On the Size and Smoothness of Solutions
to Nonlinear Hyperbolic Conservation
Laws . . . . . . . . . . . . . . . . . . 684--707
Daniel B. Dix Nonuniqueness and Uniqueness in the
Initial-Value Problem for Burgers'
Equation . . . . . . . . . . . . . . . . 708--724
Yi A. Li and
Jerry L. Bona Analyticity of Solitary-Wave Solutions
of Model Equations for Long Waves . . . 725--737
A. S. Fokas and
A. R. Its The Linearization of the
Initial-Boundary Value Problem of the
Nonlinear Schrödinger Equation . . . . . 738--764
Daniel Michelson Stability of the Bunsen Flame Profiles
in the Kuramoto--Sivashinsky Equation 765--781
Andrew H. Van Tuyl Asymptotic Expansions with Error Bounds
for the Coefficients of Capacity and
Induction of Two Spheres . . . . . . . . 782--804
Albrecht Böttcher and
Bernd Silbermann Infinite Toeplitz and Hankel Matrices
with Operator-Valued Entries . . . . . . 805--822
S.-L. Qiu and
M. K. Vamanamurthy Sharp Estimates for Complete Elliptic
Integrals . . . . . . . . . . . . . . . 823--834
Ka-Sing Lau and
Mang-Fai Ma and
Jianrong Wang On Some Sharp Regularity Estimations of
$ L_2 $-Scaling Functions . . . . . . . 835--864
Charles K. Chui and
Chun Li Dyadic Affine Decompositions and
Functional Wavelet Transforms . . . . . 865--890
Ding-Xuan Zhou Stability of Refinable Functions,
Multiresolution Analysis, and Haar Bases 891--904
J. L. Joly and
G. Metivier and
J. Rauch Global Solvability of the Anharmonic
Oscillator Model from Nonlinear Optics 905--913
Michael Renardy Initial-Value Problems with Inflow
Boundaries for Maxwell Fluids . . . . . 914--931
Lawrence C. Evans A Geometric Interpretation of the Heat
Equation with Multivalued Initial Data 932--958
Stefan Müller and
Scott J. Spector and
Qi Tang Invertibility and a Topological Property
of Sobolev Maps . . . . . . . . . . . . 959--976
Stefano Finzi Vita and
François Murat and
Nicoletta A. Tchou Quasi-Linear Relaxed Dirichlet Problems 977--996
Eiji Yanagida Structure of Radial Solutions to $
\Delta u + K(|x|) |u|^{p - 1} u = 0 $ in
$ {\bf R}^n $ . . . . . . . . . . . . . 997--1014
Takahiro Nishiyama and
Atusi Tani Initial and Initial-Boundary Value
Problems for a Vortex Filament with or
without Axial Flow . . . . . . . . . . . 1015--1023
Gary Ganser and
Xiaoping Hu and
Dening Li Solutions for a Two-Dimensional
Hyperbolic-Elliptic Coupled System . . . 1024--1037
Zhicheng Guan and
Xu-Jia Wang Existence and Blow-Up of Solutions to
Two-Phase Nonequilibrium Problems . . . 1038--1048
Russell M. Brown Global Uniqueness in the
Impedance-Imaging Problem for Less
Regular Conductivities . . . . . . . . . 1049--1056
Xinfu Chen Lorenz Equations. Part I: Existence and
Nonexistence of Homoclinic Orbits . . . 1057--1069
Michael Y. Li and
James S. Muldowney A Geometric Approach to Global-Stability
Problems . . . . . . . . . . . . . . . . 1070--1083
M. St. Vincent Bifurcation of Fixed Points in Coupled
Josephson Junctions . . . . . . . . . . 1084--1094
D. Stuart Minimal Periods for Solutions of Some
Classical Field Equations . . . . . . . 1095--1101
David Senouf Asymptotic and Numerical Approximations
of the Zeros of Fourier Integrals . . . 1102--1128
F. Gamboa and
E. Gassiat Sets of Superresolution and the Maximum
Entropy Method on the Mean . . . . . . . 1129--1152
Youming Liu A Distributional Sampling Theorem . . . 1153--1157
George C. Donovan and
Jeffrey S. Geronimo and
Douglas P. Hardin and
Peter R. Massopust Construction of Orthogonal Wavelets
Using Fractal Interpolation Functions 1158--1192
David Hoff Continuous Dependence on Initial Data
for Discontinuous Solutions of the
Navier--Stokes Equations for
One-Dimensional, Compressible Flow . . . 1193--1211
Avner Friedman and
Bei Hu A Stefan Problem for Multidimensional
Reaction-Diffusion Systems . . . . . . . 1212--1234
Kazuhiro Ishige On the Existence of Solutions of the
Cauchy Problem for a Doubly Nonlinear
Parabolic Equation . . . . . . . . . . . 1235--1260
Jean-Michel Roquejoffre and
David Terman and
Vitaly A. Volpert Global Stability of Traveling Fronts and
Convergence towards Stacked Families of
Waves in Monotone Parabolic Systems . . 1261--1269
Alexis Bonnet Traveling-Wave Solutions to Combustion
Models for a Reversible Reaction . . . . 1270--1285
Lionel Sainsaulieu Traveling-Wave Solutions of
Convection-Diffusion Systems in
Nonconservation Form . . . . . . . . . . 1286--1310
Masataka Kuwamura The Stability of Roll Solutions of the
Two-Dimensional Swift--Hohenberg
Equation and the Phase--Diffusion
Equation . . . . . . . . . . . . . . . . 1311--1335
Hyunseok Kim and
Jin Keun Seo Unique Determination of a Collection of
a Finite Number of Cracks from Two
Boundary Measurements . . . . . . . . . 1336--1340
Pierpaolo Soravia and
Panagiotis E. Souganidis Phase-Field Theory for
Fitzhugh--Nagumo-Type Systems . . . . . 1341--1359
Shuichi Jimbo and
Yoshihisa Morita Ginzburg--Landau Equations and Stable
Solutions in a Rotational Domain . . . . 1360--1385
Håkan Andréasson Regularity of the Gain Term and Strong $
L_1 $ Convergence to Equilibrium for the
Relativistic Boltzmann Equation . . . . 1386--1405
Rodolfo H. Torres A Transmission Problem in the Scattering
of Electromagnetic Waves by a Penetrable
Object . . . . . . . . . . . . . . . . . 1406--1423
G. Derks and
E. van Groesen Dissipation in Hamiltonian Systems:
Decaying Cnoidal Waves . . . . . . . . . 1424--1447
K. Pan A Refined Wiener--Levinson Method in
Frequency Analysis . . . . . . . . . . . 1448--1453
Peter Maass Families of Orthogonal Two-Dimensional
Wavelets . . . . . . . . . . . . . . . . 1454--1481
Peter Alfeld and
Marian Neamtu and
Larry L. Schumaker Dimension and Local Bases of Homogeneous
Spline Spaces . . . . . . . . . . . . . 1482--1501
Sylvie Benzoni-Gavage On a representation formula for B.
Temple systems . . . . . . . . . . . . . 1503--1519
Alain Bourgeat and
Stephan Luckhaus and
Andro Mikelic Convergence of the Homogenization
Process for a Double-Porosity Model of
Immiscible Two-Phase Flow . . . . . . . 1520--1543
Giorgio Fusco and
Jack K. Hale and
Jianping Xun Traveling Waves as Limits of Solutions
on Bounded Domains . . . . . . . . . . . 1544--1558
Daniel N. Ostrov Asymptotic Behavior of Two Interreacting
Chemicals in a Chromatography Reactor 1559--1596
Christophe Hazard and
Marc Lenoir On the Solution of Time-Harmonic
Scattering Problems for Maxwell's
Equations . . . . . . . . . . . . . . . 1597--1630
Elisabeth Croc and
Yves Dermenjian Spectral Analysis of a Multistratified
Acoustic Strip. Part II: Asymptotic
Behavior of Solutions for a Simple
Stratification . . . . . . . . . . . . . 1631--1652
Gilles Fournier and
Andrzej Szulkin and
Michel Willem Semilinear Elliptic Equations in $
\mathbf {R}^N $ with Almost Periodic or
Unbounded Forcing Term . . . . . . . . . 1653--1660
J. Benoist and
J.-B. Hiriart-Urruty What Is the Subdifferential of the
Closed Convex Hull of a Function? . . . 1661--1679
Philippe Tchamitchian Inversion de certains opérateurs
elliptiques \`a coefficients variables.
(French) [Inversion of certain elliptic
operators with variable coefficients] 1680--1703
\`Angel Jorba and
Carles Simó On Quasi-Periodic Perturbations of
Elliptic Equilibrium Points . . . . . . 1704--1737
Ji-Fa Jiang Periodic Monotone Systems with an
Invariant Function . . . . . . . . . . . 1738--1744
Albert Cohen and
Nira Dyn Nonstationary Subdivision Schemes and
Multiresolution Analysis . . . . . . . . 1745--1769
Ying Huang A Nonlinear Operator Related to Scaling
Functions and Wavelets . . . . . . . . . 1770--1790
George C. Donovan and
Jeffrey S. Geronimo and
Douglas P. Hardin Intertwining Multiresolution Analyses
and the Construction of
Piecewise-Polynomial Wavelets . . . . . 1791--1815
Miguel A. Herrero and
Juan J. L. Velázquez On the Melting of Ice Balls . . . . . . 1--32
Josephus Hulshof Self-Similar Solutions of Barenblatt's
Model for Turbulence . . . . . . . . . . 33--48
Alaeddin Elayyan and
Victor Isakov On Uniqueness of Recovery of the
Discontinuous Conductivity Coefficient
of a Parabolic Equation . . . . . . . . 49--59
P. W. Bates and
P. C. Fife and
R. A. Gardner and
C. K. R. T. Jones The Existence of Travelling Wave
Solutions of a Generalized Phase-Field
Model . . . . . . . . . . . . . . . . . 60--93
Jae Ryong Kweon and
R. Bruce Kellogg Compressible Navier--Stokes Equations in
a Bounded Domain with Inflow Boundary
Condition . . . . . . . . . . . . . . . 94--108
Carlo Sinestrari The Riemann Problem for an Inhomogeneous
Conservation Law without Convexity . . . 109--135
Aslak Tveito and
Ragnar Winther On the Rate of Convergence to
Equilibrium for a System of Conservation
Laws with a Relaxation Term . . . . . . 136--161
C. J. Christopher and
J. Devlin Isochronous Centers in Planar Polynomial
Systems . . . . . . . . . . . . . . . . 162--177
Angel Jorba and
Rafael Ramirez-Ros and
Jordi Villanueva Effective Reducibility of Quasi-Periodic
Linear Equations Close to Constant
Coefficients . . . . . . . . . . . . . . 178--188
Claude Tricot Function Norms and Fractal Dimension . . 189--212
Charles K. Chui and
Xianliang Shi Inequalities on Matrix-Dilated
Littlewood--Paley Energy Functions and
Oversampled Affine Operators . . . . . . 213--232
Shayne Waldron A Multivariate Form of Hardy's
Inequality and $ {L}_p$-Error Bounds for
Multivariate Lagrange Interpolation
Schemes . . . . . . . . . . . . . . . . 233--258
Michel Pierre and
Didier Schmitt Blowup in Reaction-Diffusion Systems
with Dissipation of Mass . . . . . . . . 259--269
Michael M. Dougherty and
Daniel Phillips Higher Gradient Integrability of
Equilibria for Certain Rank-One Convex
Integrals . . . . . . . . . . . . . . . 270--273
Charles M. Elliott and
Reiner Schätzle The Limit of the Fully Anisotropic
Double-Obstacle Allen--Cahn Equation in
the Nonsmooth Case . . . . . . . . . . . 274--303
Shinya Nishibata and
Shih-Hsien Yu The Asymptotic Behavior of the
Hyperbolic Conservation Laws with
Relaxation on the Quarter-Plane . . . . 304--321
Gang Bao and
Yunmei Chen A Nonlinear Grating Problem in
Diffractive Optics . . . . . . . . . . . 322--337
M. Escobedo and
L. Vega A semilinear Dirac equation in $
H^s(\mathbf {R}^3) $ for $ s > 1 $ . . . 338--362
G. Friesecke and
G. Dolzmann Implicit Time Discretization and Global
Existence for a Quasi-Linear Evolution
Equation with Nonconvex Energy . . . . . 363--380
Ming-Chia Li Structural Stability of Morse--Smale
Gradient-Like Flows under
Discretizations . . . . . . . . . . . . 381--388
Xuerong Mao Razumikhin-Type Theorems on Exponential
Stability of Neutral Stochastic
Functional Differential Equations . . . 389--401
Shunsaku Nii An Extension of the Stability Index for
Traveling-Wave Solutions and Its
Application to Bifurcations . . . . . . 402--433
Norbert Gorenflo and
Matthias Werner Solution of a Finite Convolution
Equation with a Hankel Kernel by Matrix
Factorization . . . . . . . . . . . . . 434--451
Jasper V. Stokman Multivariate Big and Little $q$-Jacobi
Polynomials . . . . . . . . . . . . . . 452--480
Junjiang Lei and
Rong-Qing Jia and
E. W. Cheney Approximation from Shift-Invariant
Spaces by Integral Operators . . . . . . 481--498
François Bereux and
Eric Bonnetier and
Philippe G. LeFloch Gas Dynamics System: Two Special Cases 499--515
T. Colin The Cauchy Problem and the Continuous
Limit for the Multilayer Model in
Geophysical Fluid Dynamics . . . . . . . 516--529
Michael M. Dougherty Higher Gradient Integrability of
Minimizers for a Polyconvex Case in Two
Dimensions . . . . . . . . . . . . . . . 530--538
Song-Sun Lin Stability of Gaseous Stars in
Spherically Symmetric Motions . . . . . 539--569
Miguel Escobedo and
Enrique Zuazua Long-Time Behavior for a
Convection-Diffusion Equation in Higher
Dimensions . . . . . . . . . . . . . . . 570--594
W. B. Fitzgibbon and
S. L. Hollis and
J. J. Morgan Stability and Lyapunov Functions for
Reaction-Diffusion Systems . . . . . . . 595--610
Paul DuChateau An Inverse Problem for the Hydraulic
Properties of Porous Media . . . . . . . 611--632
Xuefeng Wang and
Bin Zeng On Concentration of Positive Bound
States of Nonlinear Schrödinger Equations
with Competing Potential Functions . . . 633--655
Alfred S. Carasso Error Bounds In Nonsmooth Image
Deblurring . . . . . . . . . . . . . . . 656--668
Alain Joye Exponential Asymptotics in a Singular
Limit for $n$-Level Scattering Systems 669--703
Peter A. McCoy A Classical Theorem on the Singularities
of Legendre Series in $ \mathbf {C}^3 $
and Associated System of Hyperbolic
Partial Differential Equations . . . . . 704--714
D. S. Tselnik On Trigonometric Series Expansions of
Twelve Jacobian Elliptic Functions . . . 715--730
Amos Ron Smooth Refinable Functions Provide Good
Approximation Orders . . . . . . . . . . 731--748
J. William Helton and
Andrei E. Vityaev Analytic Functions Optimizing Competing
Constraints . . . . . . . . . . . . . . 749--767
Lia Bronsard and
Barbara Stoth Volume-Preserving Mean Curvature Flow as
a Limit of a Nonlocal Ginzburg--Landau
Equation . . . . . . . . . . . . . . . . 769--807
J. Chadam and
Y. Qin Spatial Decay Estimates for Flow in a
Porous Medium . . . . . . . . . . . . . 808--830
Haitao Fan Self-Similar Solutions for a Modified
Broadwell Model and Its Fluid-Dynamic
Limits . . . . . . . . . . . . . . . . . 831--851
Alexander I. Katsevich Range of the Radon Transform on
Functions which Do Not Decay Fast at
Infinity . . . . . . . . . . . . . . . . 852--866
Giovanna Cerami and
Donato Passaseo Nonminimizing Positive Solutions for
Equations with Critical Exponents in the
Half-Space . . . . . . . . . . . . . . . 867--885
Alan Elcrat and
Vassilis G. Papanicolaou On the Inverse Problem of a Fourth-Order
Self-Adjoint Binomial Operator . . . . . 886--896
A. Makagon and
C. A. Mensah and
A. G. Miamee A Levinson-Type Algorithm for Discrete
Stationary Random Fields . . . . . . . . 897--902
H. W. Braden and
V. M. Buchstaber The General Analytic Solution of a
Functional Equation of Addition Type . . 903--923
Changmei Liu Global Estimates for Solutions of
Partial Differential Equations . . . . . 924--943
S. Jaffard Multifractal Formalism for Functions.
Part I: Results Valid for All Functions 944--970
S. Jaffard Multifractal Formalism for Functions.
Part II: Self-Similar Functions . . . . 971--998
W. Lawton and
S. L. Lee and
Zuowei Shen Stability and Orthonormality of
Multivariate Refinable Functions . . . . 999--1014
S. Mischler and
B. Perthame Boltzmann Equation with Infinite Energy:
Renormalized Solutions and
Distributional Solutions for Small
Initial Data and Initial Data Close to a
Maxwellian . . . . . . . . . . . . . . . 1015--1027
Joachim Escher and
Gieri Simonett Classical Solutions of Multidimensional
Hele--Shaw Models . . . . . . . . . . . 1028--1047
Michael Renardy A Degenerate Parabolic-Hyperbolic System
Modeling the Spreading of Surfactants 1048--1063
Anne de Bouard and
Jean-Claude Saut Symmetries and Decay of the Generalized
Kadomtsev--Petviashvili Solitary Waves 1064--1085
Yongdong Shi and
Qinde Zhou and
Yong Li A Note on a Two-Point Boundary Value
Problem Arising from a Liquid Metal Flow 1086--1093
Shunsaku Nii Stability of Travelling Multiple-Front
(Multiple-Back) Wave Solutions of the
FitzHugh--Nagumo Equations . . . . . . . 1094--1112
Chunqing Lu On the Asymptotic Solution of Laminar
Channel Flow with Large Suction . . . . 1113--1134
Ben Schweizer Free Boundary Fluid Systems in a
Semigroup Approach and Oscillatory
Behavior . . . . . . . . . . . . . . . . 1135--1157
D. J. McLaughlin and
W. Lamb and
A. C. McBride A Semigroup Approach to Fragmentation
Models . . . . . . . . . . . . . . . . . 1158--1172
D. J. McLaughlin and
W. Lamb and
A. C. McBride An Existence and Uniqueness Result for a
Coagulation and Multiple-Fragmentation
Equation . . . . . . . . . . . . . . . . 1173--1190
Plamen Stefanov and
Gunther Uhlmann Inverse Backscattering for the Acoustic
Equation . . . . . . . . . . . . . . . . 1191--1204
P. Habets and
L. Sanchez A Two-Point Problem with Nonlinearity
Depending Only on the Derivative . . . . 1205--1211
Diómedes Bárcenas and
Wilfredo Urbina Measurable Multifunctions in
Nonseparable Banach Spaces . . . . . . . 1212--1226
Toshiaki Yokoyama Monodromy Groups of Systems of Total
Differential Equations of Two Variables 1227--1247
Matthew He and
K. Pan and
Paolo E. Ricci Asymptotics of the Zeros of Relativistic
Hermite Polynomials . . . . . . . . . . 1248--1257
Ulrich Reif Orthogonality of Cardinal B-Splines in
Weighted Sobolev Spaces . . . . . . . . 1258--1263
Fang-Hua Lin and
Qiang Du Ginzburg--Landau Vortices: Dynamics,
Pinning, and Hysteresis . . . . . . . . 1265--1293
A. Majorana and
S. A. Marano Space Homogeneous Solutions to the
Cauchy Problem for Semiconductor
Boltzmann Equations . . . . . . . . . . 1294--1308
Adrian T. Hill Estimates on the Heat Kernel of
Parabolic Equations with Advection . . . 1309--1316
L. A. Peletier and
W. C. Troy Spatial Patterns Described by the
Extended Fisher--Kolmogorov Equation:
Periodic Solutions . . . . . . . . . . . 1317--1353
Sergio Vessella Stability Estimates in an Inverse
Problem for a Three-Dimensional Heat
Equation . . . . . . . . . . . . . . . . 1354--1370
Michael V. Klibanov Global Convexity in a Three-Dimensional
Inverse Acoustic Problem . . . . . . . . 1371--1388
Hyeonbae Kang and
Jin Keun Seo and
Dongwoo Sheen The Inverse Conductivity Problem with
One Measurement: Stability and
Estimation of Size . . . . . . . . . . . 1389--1405
Urve Kangro and
Roy Nicolaides Asymptotic Behavior of Solutions of
Two-Dimensional Periodic Scattering
Problems in Electromagnetics . . . . . . 1406--1419
Fabio Camilli and
Antonio Siconolfi Discontinuous Solutions of a
Hamilton--Jacobi Equation with Infinite
Speed of Propagation . . . . . . . . . . 1420--1445
A. Kurganov and
E. Tadmor Stiff Systems of Hyperbolic Conservation
Laws: Convergence and Error Estimates 1446--1456
David Senouf Dynamics and condensation of complex
singularities for Burgers' equation. I 1457--1489
David Senouf Dynamics and condensation of complex
singularities for Burgers' equation. II 1490--1513
Richard Jordan and
David Kinderlehrer and
Felix Otto The Variational Formulation of the
Fokker--Planck Equation . . . . . . . . 1--17
Hailiang Liu and
Jinghua Wang and
Tong Yang Stability of a Relaxation Model with a
Nonconvex Flux . . . . . . . . . . . . . 18--29
L. Arkeryd and
A. Nouri A Condensation--Evaporation Problem in
Kinetic Theory . . . . . . . . . . . . . 30--47
Shijin Ding and
Zuhan Liu and
Wanghui Yu A Variational Problem Related to the
Ginzburg--Landau Model of
Superconductivity with Normal Impurity
Inclusion . . . . . . . . . . . . . . . 48--68
Jürgen Sprekels and
Songmu Zheng and
Peicheng Zhu Asymptotic Behavior of the Solutions to
a Landau--Ginzburg System with Viscosity
for Martensitic Phase Transitions in
Shape Memory Alloys . . . . . . . . . . 69--84
D. E. Edmunds and
N. I. Popivanov A Nonlocal Regularization of Some
Over-Determined Boundary-Value Problems
I . . . . . . . . . . . . . . . . . . . 85--105
David Ingerman and
James A. Morrow On a Characterization of the Kernel of
the Dirichlet-to-Neumann Map for a
Planar Region . . . . . . . . . . . . . 106--115
Carlos F. Tolmasky Exponentially Growing Solutions for
Nonsmooth First-Order Perturbations of
the Laplacian . . . . . . . . . . . . . 116--133
W. H. Ruan Local Average Liapunov Functions and
Persistence in Population Dynamics . . . 134--154
George Avalos and
Irena Lasiecka Exponential Stability of a Thermoelastic
System with Free Boundary Conditions
without Mechanical Dissipation . . . . . 155--182
Björn Sandstede Stability of $N$-Fronts Bifurcating from
a Twisted Heteroclinic Loop and an
Application to the FitzHugh--Nagumo
Equation . . . . . . . . . . . . . . . . 183--207
Liwei Ren and
G. Bard Ermentrout Monotonicity of Phaselocked Solutions in
Chains and Arrays of Nearest-Neighbor
Coupled Oscillators . . . . . . . . . . 208--234
Zuowei Shen Refinable Function Vectors . . . . . . . 235--250
Blaise Desesa Orthogonality of Sieved Random Walk
Polynomials from a Nonsieved Analogue 251--265
Peter G. Casazza and
Ole Christensen Frames Containing a Riesz Basis and
Preservation of This Property under
Perturbations . . . . . . . . . . . . . 266--278
E. Le Gruyer and
J. C. Archer Harmonious Extensions . . . . . . . . . 279--292
Tai-Ping Liu and
Akitaka Matsumura and
Kenji Nishihara Behaviors of Solutions for the Burgers
Equation with Boundary Corresponding to
Rarefaction Waves . . . . . . . . . . . 293--308
Antoine Henrot and
Gérard A. Philippin Some Overdetermined Boundary Value
Problems with Elliptical Free Boundaries 309--320
Roberta Dal Passo and
Harald Garcke and
Günther Grün On a Fourth-Order Degenerate Parabolic
Equation: Global Entropy Estimates,
Existence, and Qualitative Behavior of
Solutions . . . . . . . . . . . . . . . 321--342
Grégoire Allaire and
Carlos Conca Boundary Layers in the Homogenization of
a Spectral Problem in Fluid-Solid
Structures . . . . . . . . . . . . . . . 343--379
Gang Bao Smoothness Between Coefficients and
Boundary Values for the Wave Equation 380--394
H. Ammari and
J. C. Nédélec Time-Harmonic Electromagnetic Fields in
Thin Chiral Curved Layers . . . . . . . 395--423
Yukio Kan-on Bifurcation Structure of Stationary
Solutions of a Lotka--Volterra
Competition Model with Diffusion . . . . 424--436
Angelo Alvino and
Vincenzo Ferone and
Guido Trombetti On the Properties of Some Nonlinear
Eigenvalues . . . . . . . . . . . . . . 437--451
R. Mikulevicius and
B. Rozovskii Linear Parabolic Stochastic PDEs and
Wiener Chaos . . . . . . . . . . . . . . 452--480
G. Plonka and
V. Strela Construction of Multiscaling Functions
with Approximation and Symmetry . . . . 481--510
Wim Sweldens The Lifting Scheme: A Construction of
Second Generation Wavelets . . . . . . . 511--546
Anonymous Editorial Note . . . . . . . . . . . . . v--v
Steven J. Cox and
C. Maeve McCarthy The Shape of the Tallest Column . . . . 547--554
Shin-Ichiro Ei and
Eiji Yanagida Slow Dynamics of Interfaces in the
Allen--Cahn Equation on a Strip-like
Domain . . . . . . . . . . . . . . . . . 555--595
M. C. Lopes Filho and
H. J. Nussenzveig Lopes An Extension of Marchioro's Bound on the
Growth of a Vortex Patch to Flows with $
{L^p} $ Vorticity . . . . . . . . . . . 596--599
Andrei A. Lyashenko and
Susan J. Friedlander Nonlinear Instability of a Precessing
Body with a Cavity Filled by an Ideal
Fluid . . . . . . . . . . . . . . . . . 600--618
Bernard Hanouzet and
Roberto Natalini and
Alberto Tesei On the Chapman--Jouguet Limit for a
Combustion Model . . . . . . . . . . . . 619--636
Hong-Ming Yin On Maxwell's Equations in an
Electromagnetic Field with the
Temperature Effect . . . . . . . . . . . 637--651
Thomas Hagstrom and
Jens Lorenz All-Time Existence of Classical
Solutions for Slightly Compressible
Flows . . . . . . . . . . . . . . . . . 652--672
Robert Lipton The Second Stekloff Eigenvalue and
Energy Dissipation Inequalities for
Functionals with Surface Energy . . . . 673--680
Xue-Zhong He and
Shigui Ruan and
Huaxing Xia Global Stability in Chemostat-Type
Equations with Distributed Delays . . . 681--696
Lassi Päivärinta and
Valeri Serov Recovery of Singularities of a
Multidimensional Scattering Potential 697--711
M. Flucher and
S. Müller Radial Symmetry and Decay Rate of
Variational Ground States in the Zero
Mass Case . . . . . . . . . . . . . . . 712--719
Adrian T. Hill $ L_\infty $ Estimates on the Solutions
of Nonselfadjoint Elliptic and Parabolic
Equations in Bounded Domains . . . . . . 720--735
Irene Fonseca and
Stefan Müller and
Pablo Pedregal Analysis of Concentration and
Oscillation Effects Generated by
Gradients . . . . . . . . . . . . . . . 736--756
Harry Gingold and
Alexander Tovbis Solutions of Finitely Smooth Nonlinear
Singular Differential Equations and
Problems of Diagonalization and
Triangularization . . . . . . . . . . . 757--778
Yuan Xu Orthogonal Polynomials and Cubature
Formulae on Spheres and on Balls . . . . 779--793
H. T. Koelink and
J. Van Der Jeugt Convolutions for Orthogonal Polynomials
from Lie and Quantum Algebra
Representations . . . . . . . . . . . . 794--822
Christopher J. Larsen Quasiconvexification in $ W^{1, 1} $ and
Optimal Jump Microstructure in BV
Relaxation . . . . . . . . . . . . . . . 823--848
Thomas A. Hogan A Note on Matrix Refinement Equations 849--854
Enrico De Micheli and
Nicodemo Magnoli and
Giovanni Alberto Viano On the Regularization of Fredholm
Integral Equations of the First Kind . . 855--877
B. Forte and
F. Mendivil and
E. R. Vrscay ``Chaos Games'' for Iterated Function
Systems with Grey Level Maps . . . . . . 878--890
R. J. Douglas Rearrangements of Vector Valued
Functions, with Application to
Atmospheric and Oceanic Flows . . . . . 891--902
Xu-Yan Chen and
Shuichi Jimbo and
Yoshihisa Morita Stabilization of Vortices in the
Ginzburg--Landau Equation with a
Variable Diffusion Coefficient . . . . . 903--912
S. Caprino and
M. Pulvirenti and
W. Wagner Stationary Particle Systems
Approximating Stationary Solutions to
the Boltzmann Equation . . . . . . . . . 913--934
Lester F. Caudill, Jr. and
Peter A. Perry and
Albert W. Schueller Isospectral Sets for Fourth-Order
Ordinary Differential Operators . . . . 935--966
Sorin Micu and
Enrique Zuazua Asymptotics for the Spectrum of a
Fluid/Structure Hybrid System Arising in
the Control of Noise . . . . . . . . . . 967--1001
Chaocheng Huang and
Thomas Svobodny Evolution of Mixed-State Regions in
Type-II Superconductors . . . . . . . . 1002--1021
E. N. Barron and
R. Jensen and
W. Liu Applications of the Hopf--Lax Formula
for $ u_t + H(u, D u) = 0 $ . . . . . . 1022--1039
Pascal Monasse and
Valérie Perrier Orthonormal Wavelet Bases Adapted for
Partial Differential Equations with
Boundary Conditions . . . . . . . . . . 1040--1065
Martino Bardi and
Silvia Faggian Hopf-Type Estimates and Formulas for
Nonconvex Nonconcave Hamilton--Jacobi
Equations . . . . . . . . . . . . . . . 1067--1086
Yasumasa Nishiura and
Hiromasa Suzuki Nonexistence of Higher Dimensional
Stable Turing Patterns in the Singular
Limit . . . . . . . . . . . . . . . . . 1087--1105
Björn Gustafsson On Mother Bodies of Convex Polyhedra . . 1106--1117
Peter Hähner A Uniqueness Theorem for an Inverse
Scattering Problem in an Exterior Domain 1118--1128
Antonio Córdoba and
Pablo Fernández Convergence and Divergence of Decreasing
Rearranged Fourier Series . . . . . . . 1129--1139
Jianzhong Wang Stability and Linear Independence
Associated with Scaling Vectors . . . . 1140--1156
Qingtang Jiang On the Regularity of Matrix Refinable
Functions . . . . . . . . . . . . . . . 1157--1176
Bin Han and
Rong-Qing Jia Multivariate Refinement Equations and
Convergence of Subdivision Schemes . . . 1177--1199
François James Convergence Results for Some
Conservation Laws with a Reflux Boundary
Condition and a Relaxation Term Arising
in Chemical Engineering . . . . . . . . 1200--1223
S. L. Qiu and
M. K. Vamanamurthy and
M. Vuorinen Some Inequalities for the Growth of
Elliptic Integrals . . . . . . . . . . . 1224--1237
Andro Mikelic and
Raoul Robert On the Equations Describing a Relaxation
Toward a Statistical Equilibrium State
in the Two-Dimensional Perfect Fluid
Dynamics . . . . . . . . . . . . . . . . 1238--1255
Nakao Hayashi and
Pavel I. Naumkin and
Tohru Ozawa Scattering Theory for the Hartree
Equation . . . . . . . . . . . . . . . . 1256--1267
Catherine Bandle and
Tokumori Nanbu and
Ivar Stakgold Porous Medium Equation with Absorption 1268--1278
Samir Karaa Sharp Estimates for the Eigenvalues of
Some Differential Equations . . . . . . 1279--1300
Philippe Souplet Blow-up in Nonlocal Reaction-Diffusion
Equations . . . . . . . . . . . . . . . 1301--1334
Carles Bonet and
David Sauzin and
Tere Seara and
Marta Valencia Adiabatic Invariant of the Harmonic
Oscillator, Complex Matching and
Resurgence . . . . . . . . . . . . . . . 1335--1360
Aníbal Rodríguez-Bernal Localized Spatial Homogenization and
Large Diffusion . . . . . . . . . . . . 1361--1380
S. Bonafede and
G. R. Cirmi and
A. F. Tedeev Finite Speed of Propagation for the
Porous Media Equation . . . . . . . . . 1381--1398
Arnd Scheel Bifurcation to Spiral Waves in
Reaction-Diffusion Systems . . . . . . . 1399--1418
Joachim Escher and
Uwe F. Mayer and
Gieri Simonett The Surface Diffusion Flow for Immersed
Hypersurfaces . . . . . . . . . . . . . 1419--1433
Noriko Mizoguchi and
Eiji Yanagida Blowup and Life Span of Solutions for a
Semilinear Parabolic Equation . . . . . 1434--1446
Christopher P. Grant Interior Blowup in a
Convection-Diffusion Equation . . . . . 1447--1458
Horst Alzer and
Jim Wells Inequalities for the Polygamma Functions 1459--1466
Arnaud Heibig and
Amina Sahel A Method of Characteristics for Some
Systems of Conservation Laws . . . . . . 1467--1480
Sandro Zagatti On the Dirichlet Problem for Vectorial
Hamilton--Jacobi Equations . . . . . . . 1481--1491
Juncheng Wei and
Matthias Winter On the Stationary Cahn--Hilliard
Equation: Bubble Solutions . . . . . . . 1492--1518
Yukio Kan-on and
Masayasu Mimura Singular Perturbation Approach to a
$3$-component Reaction-Diffusion System
Arising in Population Dynamics . . . . . 1519--1536
Stuart P. Hastings and
William C. Troy There are Asymmetric Minimizers for the
One-Dimensional Ginzburg--Landau Model
of Superconductivity . . . . . . . . . . 1--18
Katsuyuki Ishii and
Halil Mete Soner Regularity and Convergence of
Crystalline Motion . . . . . . . . . . . 19--37
Wei-Cheng Wang On $ L_1 $ Convergence Rate of Viscous
and Numerical Approximate Solutions of
Genuinely Nonlinear Scalar Conservation
Laws . . . . . . . . . . . . . . . . . . 38--52
Jong Uhn Kim On a Wave Equation with a Boundary
Condition Associated with Capillary
Waves . . . . . . . . . . . . . . . . . 53--71
Regan Murray and
J. X. Xin Existence of Traveling Waves in a
Biodegradation Model for Organic
Contaminants . . . . . . . . . . . . . . 72--94
Shuichi Kawashima and
Shinya Nishibata Shock Waves for a Model System of the
Radiating Gas . . . . . . . . . . . . . 95--117
Joseph Iaia and
Henry Warchall Encapsulated-Vortex Solutions to
Equivariant Wave Equations: Existence 118--139
Judith Vancostenoble Weak Asymptotic Stability of
Second-Order Evolution Equations by
Nonlinear and Nonmonotone Feedbacks . . 140--154
Pencho P. Petrushev Approximation by Ridge Functions and
Neural Networks . . . . . . . . . . . . 155--189
Irene Fonseca and
Giovanni Leoni Bulk and Contact Energies: Nucleation
and Relaxation . . . . . . . . . . . . . 190--219
E. Beretta and
S. Vessella Stable Determination of Boundaries from
Cauchy Data . . . . . . . . . . . . . . 220--232
Hjalmar Rosengren Multivariable Orthogonal Polynomials and
Coupling Coefficients for Discrete
Series Representations . . . . . . . . . 233--272
Todd Kapitula The Evans Function and Generalized
Mel\cprimenikov Integrals . . . . . . . 273--297
N. V. Krylov and
S. V. Lototsky A Sobolev Space Theory of SPDE with
Constant Coefficients on a Half Line . . 298--325
Giovanni Alessandrini and
Luca Rondi Stable Determination of a Crack in a
Planar Inhomogeneous Conductor . . . . . 326--340
T. Giorgi and
D. Phillips The Breakdown of Superconductivity Due
to Strong Fields for the
Ginzburg--Landau Model . . . . . . . . . 341--359
Tu Caifeng and
Jiang Jifa Global Stability and Permanence for a
Class of Type $K$ Monotone Systems . . . 360--378
J. M. Melenk and
C. Schwab Analytic Regularity for a Singularly
Perturbed Problem . . . . . . . . . . . 379--400
Gunilla Kreiss and
Heinz-Otto Kreiss and
Jens Lorenz On Stability of Conservation Laws . . . 401--430
Zhangxin Chen and
Richard Ewing Mathematical Analysis for Reservoir
Models . . . . . . . . . . . . . . . . . 431--453
Jaime Navarro Singularities of Distributions Via the
Wavelet Transform . . . . . . . . . . . 454--467
Bernold Fiedler and
Tomás Gedeon A Lyapunov Function for Tridiagonal
Competitive-cooperative Systems . . . . 469--478
Alfred S. Carasso Logarithmic Convexity and the ``Slow
Evolution'' Constraint in Ill-Posed
Initial Value Problems . . . . . . . . . 479--496
Helge Holden and
Nils Henrik Risebro Riemann Problems with a Kink . . . . . . 497--515
M. S. Joshi Recovering Asymptotics of Coulomb-like
Potentials from Fixed Energy Scattering
Data . . . . . . . . . . . . . . . . . . 516--526
Dorin Bucur and
Giuseppe Buttazzo and
Isabel Figueiredo On The Attainable Eigenvalues of the
Laplace Operator . . . . . . . . . . . . 527--536
Robin Young Exact Solutions to Degenerate
Conservation Laws . . . . . . . . . . . 537--558
Simon N. Chandler-Wilde and
Bo Zhang Scattering of Electromagnetic Waves by
Rough Interfaces and Inhomogeneous
Layers . . . . . . . . . . . . . . . . . 559--583
Yoshiaki Kusaka and
Atusi Tani On the Classical Solvability of the
Stefan Problem in a Viscous
Incompressible Fluid Flow . . . . . . . 584--602
Didier Bresch and
Jérome Lemoine and
Jacques Simon A Vertical Diffusion Model for Lakes . . 603--622
G. S. Weiss Self-Similar Blow-Up and Hausdorff
Dimension Estimates for a Class of
Parabolic Free Boundary Problems . . . . 623--644
Maria Specovius-Neugebauer Approximation of the Stokes Dirichlet
Problem in Domains with Cylindrical
Outlets . . . . . . . . . . . . . . . . 645--677
Eugene Belogay and
Yang Wang Arbitrarily Smooth Orthogonal
Nonseparable Wavelets in $ \mathbf {R}^2
$ . . . . . . . . . . . . . . . . . . . 678--697
Eugene Fabes and
Hyeonbae Kang and
Jin Keun Seo Inverse Conductivity Problem with One
Measurement: Error Estimates and
Approximate Identification for Perturbed
Disks . . . . . . . . . . . . . . . . . 699--720
Robert L. Jerrard Lower Bounds for Generalized
Ginzburg--Landau Functionals . . . . . . 721--746
Ming-Chia Li Structural Stability for the Euler
Method . . . . . . . . . . . . . . . . . 747--755
Piotr Rybka The Crystalline Version of the Modified
Stefan Problem in the Plane and Its
Properties . . . . . . . . . . . . . . . 756--786
A. V. Kitaev and
A. H. Vartanian Asymptotics of Solutions to the Modified
Nonlinear Schrödinger Equation: Solitons
on a Nonvanishing Continuous Background 787--832
Jian Zhai Existence and Behavior of Solutions to
the Landau--Lifshitz Equation . . . . . 833--847
Christophe Labreuche Generalization of the Schwarz Reflection
Principle in Scattering Theory for
Dissipative Systems: Application to
Purely Imaginary Resonant Frequencies 848--878
Mikhail V. Safonov Nonuniqueness for Second-Order Elliptic
Equations with Measurable Coefficients 879--895
Bernd Hofmann A Denseness Theorem with an Application
to a Two-Dimensional Inverse Potential
Refraction Problem . . . . . . . . . . . 896--911
Avner Friedman and
Bei Hu A Stefan Problem for a Protocell Model 912--926
Shlomo Engelberg An Analytical Proof of the Linear
Stability of the Viscous Shock Profile
of the Burgers Equation with
Fourth-Order Viscosity . . . . . . . . . 927--936
Peter Constantin and
Jiahong Wu Behavior of Solutions of $2$D
Quasi-Geostrophic Equations . . . . . . 937--948
Robert Carlson Large Eigenvalues and Trace Formulas for
Matrix Sturm--Liouville Problems . . . . 949--962
Jack K. Hale and
José Domingo Salazar González Attractors of Some Reaction Diffusion
Problems . . . . . . . . . . . . . . . . 963--984
Andrea Terracina A Free Boundary Problem for Scalar
Conservation Laws . . . . . . . . . . . 985--1009
L. Amour Determination of a Third-Order Operator
from Two of Its Spectra . . . . . . . . 1010--1028
G. C. Donovan and
J. S. Geronimo and
D. P. Hardin Orthogonal Polynomials and the
Construction of Piecewise Polynomial
Smooth Wavelets . . . . . . . . . . . . 1029--1056
S.-L. Qiu and
M. Vuorinen Infinite Products and Normalized
Quotients of Hypergeometric Functions 1057--1075
Yan Guo and
Walter A. Strauss Unstable Oscillatory-Tail Waves in
Collisionless Plasmas . . . . . . . . . 1076--1114
Wen Shen and
Aslak Tveito and
Ragnar Winther On the Zero Relaxation Limit for a
System Modeling the Motions of a
Viscoelastic Solid . . . . . . . . . . . 1115--1135
Laura Poggiolini Almost Everywhere Solutions of Partial
Differential Equations and Systems of
Any Order . . . . . . . . . . . . . . . 1136--1150
Xuguang Lu Spatial Decay Solutions of the Boltzmann
Equation: Converse Properties of Long
Time Limiting Behavior . . . . . . . . . 1151--1174
Julian Edward and
David Pravica Bounds on Resonances for the Laplacian
on Perturbations of Half-Space . . . . . 1175--1184
Lucio R. Berrone On a Conjecture Relative to the Maxima
of Harmonic Functions on Convex Domains 1185--1207
Guillaume Bal First-Order Corrector for the
Homogenization of the Criticality
Eigenvalue Problem in the Even Parity
Formulation of the Neutron Transport . . 1208--1240
Juncheng Wei and
Matthias Winter On the Two-Dimensional Gierer--Meinhardt
System with Strong Coupling . . . . . . 1241--1263
M. A. Borodin Existence of the Global Classical
Solution for a Two-Phase Stefan Problem 1264--1281
G. Aubert and
P. Kornprobst A Mathematical Study of the Relaxed
Optical Flow Problem in the Space $ {BV}
({\Omega }) $ . . . . . . . . . . . . . 1282--1308
Philippe G. LeFloch and
Athanasios E. Tzavaras Representation of Weak Limits and
Definition of Nonconservative Products 1309--1342
Susan Friedlander and
Walter Strauss and
Misha Vishik Robustness of Instability for the
Two-dimensional Euler Equations . . . . 1343--1354
Irene Fonseca and
Stefan Müller $ \cal {A}$-Quasiconvexity, Lower
Semicontinuity, and Young Measures . . . 1355--1390
David Arcoya and
Silvia Cingolani and
José L. Gámez Asymmetric Modes in Symmetric Nonlinear
Optical Waveguides . . . . . . . . . . . 1391--1400
Yihong Du and
Qingguang Huang Blow-Up Solutions for a Class of
Semilinear Elliptic and Parabolic
Equations . . . . . . . . . . . . . . . 1--18
N. V. Krylov and
S. V. Lototsky A Sobolev Space Theory of SPDEs with
Constant Coefficients in a Half Space 19--33
Rinaldo M. Colombo and
Andrea Corli Continuous Dependence in Conservation
Laws with Phase Transitions . . . . . . 34--62
Manuel del Pino and
Patricio L. Felmer and
Juncheng Wei On the Role of Mean Curvature in Some
Singularly Perturbed Neumann Problems 63--79
Alexis Bonnet and
François Hamel Existence of Nonplanar Solutions of a
Simple Model of Premixed Bunsen Flames 80--118
Stanislav I. Pohozaev and
Alberto Tesei Existence and Nonexistence of Solutions
of Nonlinear Neumann Problems . . . . . 119--133
J. Hounie and
M. C. Lopes Filho and
H. J. Nussenzveig Lopes Bounds on the Dispersion of Vorticity in
2D Incompressible, Inviscid Flows with A
Priori Unbounded Velocity . . . . . . . 134--153
Kuan-ju Chen and
Hwai-chiuan Wang A Necessary and Sufficient Condition for
Palais--Smale Conditions . . . . . . . . 154--165
Yongqian Zhang Global Existence of Steady Supersonic
Potential Flow Past a Curved Wedge with
a Piecewise Smooth Boundary . . . . . . 166--183
Wolfgang Dahmen and
Reinhold Schneider Wavelets on Manifolds I: Construction
and Domain Decomposition . . . . . . . . 184--230
H. E. Cabral and
D. S. Schmidt Stability of Relative Equilibria in the
Problem of $ N + 1 $ Vortices . . . . . 231--250
A. Fasano and
F. Talamucci A Comprehensive Mathematical Model for a
Multispecies Flow Through Ground Coffee 251--273
Bin Han Analysis and Construction of Optimal
Multivariate Biorthogonal Wavelets with
Compact Support . . . . . . . . . . . . 274--304
Monique Dauge and
Isabelle Gruais and
Andreas Rössle The Influence of Lateral Boundary
Conditions on the Asymptotics in Thin
Elastic Plates . . . . . . . . . . . . . 305--345
Patrick Joly and
Alexander Komech and
Olivier Vacus On Transitions to Stationary States in a
Maxwell--Landau--Lifschitz--Gilbert
System . . . . . . . . . . . . . . . . . 346--374
Steven J. Cox and
C. Maeve McCarthy The Shape of the Tallest Column:
Corrected . . . . . . . . . . . . . . . 940--940
Walter Van Assche Erratum to ``Weighted Zero Distribution
For Polynomials Orthogonal on an
Infinite Interval'' . . . . . . . . . . 1169--1170