Differential Equations: Conference Proceedings

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Page iii

Copyright page
Page iv

Preface
Page v
Ian W. Knowles, Roqer T. Lewis

Lectures Not Appearing in the Proceedings
Pages xiii-xiv

Address List of Contributors
Pages xv-xx

Uniform Dissipative Solutions for a Third Order Non-Linear Differential Equation Original Research Article
Pages 1-6
Anthony Uyi Afuwape

On Positive Solutions of Elliptic Equations with Periodic Coefficients in N, Spectral Results and Extensions to Elliptic Operators on Riemannian Manifolds Original Research Article
Pages 7-17
Shmuel Agmon

Classification of Initial Data for the Porous Medium Equation in N Original Research Article
Pages 19-24
Nicholas D. Alikakos, Rouben Rostamian

Stability of Quantum Mechanical Shape Resonances via Riccati's Equation Original Research Article
Pages 25-29
Mark Ashbaugh, Carl Sundberg

Remarks on the Inverse Square Potential in Quantum Mechanics Original Research Article
Pages 31-35
Pierre Baras, Jerome A. Goldstein

Julia Sets and Autonomous Differential Equations Original Research Article
Pages 37-41
Michael F. Barnsley, Andrew N. Harrington

A Limiting Absorption Principle for a Sum of Tensor Products Original Research Article
Pages 43-48
Matania Ben-Artzi, Allen Devinatz

An Algebraic Generalization of Stochastic Integration Original Research Article
Pages 49-52
Marc Berger, Alan Sloan

Variational Problems Involving Lack of Compactness and Rellich's Conjecture Original Research Article
Pages 53-59
Haim Brezis

A Factorization Method for Symmetric Differential Operators and its Applications to Dirichlet Inequalities and to the Dirichlet Index Original Research Article
Pages 61-70
Richard C. Brown

Solutions with Asymptotic Conditions of a Nonlinear Boundary Value Problem Original Research Article
Pages 71-75
Nguyên Phuong Các

Absolute Continuous Spectrum of One-Dimensional Schrödinger Operators Original Research Article
Pages 77-86
René Carmona

Some Topics in Transmutation Original Research Article
Pages 87-104
Robert Carroll

An Equation Modeling the Electric Ballast Resistor Original Research Article
Pages 105-110
Nathaniel Chafee

Nonexistence of Positive Solutions for Singular Hyperbolic Differential Inequalities Original Research Article
Pages 111-114
C.Y. Chan

Almost Periodicity of Bounded Solutions to Nonlinear Abstract Equations Original Research Article
Pages 115-121
C. Corduneanu, J.A. Goldstein

A Priori Estimates in Nonlinear Eigenvalue Problems for Elliptic Systems Original Research Article
Pages 123-129
Chris Cosner

Developments in the Theory of Nonlinear First-Order Partial Differential Equations Original Research Article
Pages 131-142
Michael G. Crandall, Panagiotis E. Souganidis

Relativistic Molecules with Coulomb Interaction Original Research Article
Pages 143-148
Ingrid Daubechies, Elliot H. Lieb

Non-Linear Delay Differential Equations and Function Algebras Original Research Article
Pages 149-154
Lance D. Drager, William Layton

Transformations of Differential Equations, The Levinson Asymptotic Theorem and Deficiency Indices Original Research Article
Pages 155-164
M.S.P. Eastham

A Morse Theory for Hamiltonian Systems Original Research Article
Pages 165-172
Ivar Ekeland

Scattering and Spectral Theory for Three Particle Systems Original Research Article
Pages 173-204
Volker Enss

A Left Definite Two-Parameter Eigenvalue Problem Original Research Article
Pages 205-211
Melvin Faierman

A Semigroup Approach to Burgers' System Original Research Article
Pages 213-217
W.E. Fitzgibbon

On The Eigenvalues of Non-Definite Elliptic Operators Original Research Article
Pages 219-227
J. Fleckinger, A.B. Mingarelli

Existence of Generators and Differentiability of Evolutions Original Research Article
Pages 229-236
Michael A. Freedman

On the Asymptotic Behavior of the Positive Solutions of a Differential Equation with a Discontinuous Nonlinear Term Original Research Article
Pages 237-240
John R. Graef, Paul W. Spikes, Myron K. Grammatikopoulos

Energy Estimates for Symmetric Hyperbolic Integro-Differential Equations Original Research Article
Pages 241-248
Ronald Grimmer, Marvin Zeman

Resolvent and Heat Kernels for Operators of Schrödinger Type with Applications to Spectral Theory Original Research Article
Pages 249-256
David Gurarie

Vorticity, Incompressibility, and Boundary Conditions in the Numerical Solution of the Navier-Stokes Equations Original Research Article
Pages 257-264
Karl Gustafson, Kadosa Halasi

Asymptotic Completeness for Few Body Schrödinger Operators Original Research Article
Pages 265-269
George A. Hagedorn, Peter A. Perry

Asymptotics of the Titchmarsh-Weyl m-Function a Bessel-Approximative Case Original Research Article
Pages 271-277
S.G. Halvorsen

Lattice Multiscale Singular Perturbation Theory Original Research Article
Pages 279-284
Carlos R. Handy

Solutions for Model Boltzmann Equations Proposed by Ziff Original Research Article
Pages 285-291
D.P. Hardin, J.V. Herod

Asymptotic Behavior of Solutions of Disconjugate Differential Equations Original Research Article
Pages 293-300
Don Hinton

Boundary Conditions for Differential Systems in Intermediate Limit Situations Original Research Article
Pages 301-306
Allan M. Krall, J.K. Shaw, D.B. Hinton

On the Spectrum of a Hamiltonian System with Two Singular Endpoints Original Research Article
Pages 307-312
J.K. Shaw, D.B. Hinton

A Product Formula for Certain Quadratic form Perturbations Original Research Article
Pages 313-319
Rhonda J. Hughes

On the Existence of Resonant States Original Research Article
Pages 321-326
Ketill Ingólfsson

Asymptotic Behavior of the Scattering Amplitude at High Energies Original Research Article
Pages 327-334
Hiroshi Isozaki, Hitoshi Kitada

Full- and Half-Range Theory of an Indefinite Sturm-Liodville Problem Original Research Article
Pages 335-340
Hans G. Kaper

Remarks on Holomorphic Families of Schrödinger and Dirac Operators Original Research Article
Pages 341-352
Tosio Kato

Necessary and Sufficient Conditions for Solvability of Non-Solvable Linear Partial Differential Equations Original Research Article
Pages 353-357
Shmuel Kiro

Regularity Properties of Schrödinger Operators on Domains of Rn Original Research Article
Pages 359-366
Mark A. Kon

Relative Symmetries of Differential Equations Original Research Article
Pages 367-371
B.A. Kupershmidt

Necessary and Sufficient Conditions for Oscillations of Higher Order Delay Differential Equations Original Research Article
Pages 373-379
G. Ladas, Y.G. Sficas, I.P. Stavroulakis

Boundary Behavior of Solutions of Degenerate Elliptic Equations and Generation of Semigroups Original Research Article
Pages 381-386
Michel Langlais

The Zero Dispersion Limit for the KdV Equation Original Research Article
Pages 387-390
Peter D. Lax

Recent Multiplicity Results for Nonlinear Boundary Value Problems Original Research Article
Pages 391-396
A.C. Lazer, P.J. McKenna

Nonstopping Iteration for Ordinary Differential Operator Equation Original Research Article
Pages 397-402
Sung J. Lee

Some Vector Field Equations Original Research Article
Pages 403-412
Elliott H. Lieb

Weight Distributions and Moments for a Certain Class of Orthogonal Polynomials Original Research Article
Pages 413-419
Lance L. Littlejohn

On the Limit-Point Classification of a Class of Non-Self-Adjoint Ordinary Differential Operators Original Research Article
Pages 421-426
Jing-lin Liu

A Moving Boundary Problem Describing Oxygen Consumption in Soil Original Research Article
Pages 427-430
Roger C. McCann, Paul K. McConnaughey

Converse BVP for Associated Elliptic and Parabolic Fractional Partial Differential Operators Original Research Article
Pages 431-436
Peter A. McCoy

Bounds for Constructed Solutions of Second and Fourth Order Inverse Eigenvalue Problems Original Research Article
Pages 437-443
Joyce R. McLaughlin

Difference Equation Models of Differential Equations Having Zero Local Truncation Errors Original Research Article
Pages 445-449
Ronald E. Mickens

A Remark on Continuum Eigenfunctions of N-Body Schrödinger Operators Original Research Article
Pages 451-454
Peter A. Perry

A Curious Singular Perturbation Problem Original Research Article
Pages 455-464
Paul H. Rabinowitz

A Simplified Characterization of the Boundary Conditions which Determine J-Selfadjoint Extensions of J-Symmetric (Differential) Operators Original Research Article
Pages 465-469
David Race

Essential Self-Adjointness for Powers of Schrödinger Operators Original Research Article
Pages 471-476
Thomas T. Read

Geometry and Discrete Velocity Approximations to the Boltzmann Equation Original Research Article
Pages 477-483
Michael C. Reed

Domains in Hyperbolic Space and Limit Sets of Kleinian Groups Original Research Article
Pages 485-500
P. Sarnak

Selfadjoint Operators, Spectral and Scattering Theory, Variational Technioues, Non-Linear Phenomena, Linear and Non-Linear Partial Differential Eouations, and Related Topics Original Research Article
Pages 501-509
Martin Schechter

On Quasiuniqueness Original Research Article
Pages 511-518
Vladimir Schuchman

m-Functions and the Absolutely Continuous Spectrum of One Dimensional Almost Periodic Schrödinger Operators
Page 519
Barry Simon

The Complete Solution Space for a System of Reaction-Diffusion Equations Original Research Article
Pages 521-535
Joel A. Smoller

Variational Problems with Singular Solutions Original Research Article
Pages 537-543
R. Temam

Bifurcation of Subharndnic Solutions. A Generic Approach Original Research Article
Pages 545-552
A. Vanderbauwhede

A Class of Isoperimetric Variational Problems on Certain Orlicz-Soeolev Spaces Original Research Article
Pages 553-559
Pierre A. Vuillermot

The Relation of Solutions of Different ODEs is a Commutation Relation Original Research Article
Pages 561-570
Bernard F. Whiting

Pointwise Initial-Value Problems for Functional Differential Equations Original Research Article
Pages 571-580
Joseph Wiener

Asymptotics and Spectral Theory for High Order Ordinary Differential Equations with Power Coefficients Original Research Article
Pages 581-587
Alastair D. Wood

Large Time Behaviors of Time-Periodic Quantum Systems Original Research Article
Pages 589-597
Kenji Yajima

Eigenvalues of the Laplacian: An Extension to Higher Dimensions (II) Original Research Article
Pages 599-606
Elsayed M.E. Zayed

Author Index
Pages 607-608