Delay and Functional Differential Equations and their Applications

✍ Scribed by Klaus Schmitt

• Publisher: Elsevier Inc, Academic Press Inc
• Year: 1972
• Tongue: English
• Leaves: 390
• Category: Library

✦ Synopsis

This volume consists of a series of papers, both invited and ontributed, presented as a conference on Delay and Functional Differential Equations and Their Applications held at Park City, Utah, March 6-11, 1972.... The purpose of the conference was to stimulate research in functional differential equations and its applications and to bring together researchers whose interests cover as many aspects of the theory as possible... The papers included in this volume... qualitative and geometric theory, control theory, numeric methods, Volterra equations, applications to neural network theory and the theory of learning, the theory of epidemics, problems in physiology, and other areas of applications. --- excerpts from Preface

✦ Table of Contents

Content:
Inside Front Cover, Page ii
Front Matter, Page iii
Copyright, Page iv
PARTICIPANTS, Pages vii-ix
PREFACE, Page xi
CONTROL OF FUNCTIONAL DIFFERENTIAL EQUATIONS WITH FUNCTION SPACE BOUNDARY CONDITIONS, Pages 1-16, H.T. Banks
NUMERICAL METHODS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS, Pages 17-101, Colin W. Cryer
SOME HARMLESS DELAYS, Pages 103-119, Rodney D. Driver
PATTERN LEARNING BY FUNCTIONAL-DIFFERENTIAL NEURAL NETWORKS WITH ARBITRARY PATH WEIGHTS, Pages 121-160, Stephen Grossberg
DIFFERENTIAL EQUATIONS IN PHYSIOLOGY AND HOW TO FIND THEM, Pages 161-183, John A. Jacquez, Eugene Daniels
BASIC FREQUENCY PERIODIC MOTIONS IN NONCOMPACT DYNAMICAL PROCESSES, Pages 185-196, G. Stephen Jones
ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF THE FUNCTIONAL DIFFERENTIAL EQUATION y′(x) = ay(λx) + by(x), Pages 197-217, Tosio Kato
OSCILLATIONS OF HIGHER-ORDER RETARDED DIFFERENTIAL EQUATIONS GENERATED BY THE RETARDED ARGUMENT, Pages 219-231, G. Ladas, V. Lakshmikantham, J.S. Papadakis
REMARKS ON A VOLTERRA EQUATION, Pages 233-255, J.J. Levin
ASYMPTOTIC STABILITY AND PERTURBATIONS FOR LINEAR VOLTERRA INTEGRODIFFERENTIAL SYSTEMS, Pages 257-268, Richard K. Miller
THE INFINITE TIME QUADRATIC COST PROBLEM FOR CERTAIN CLASSES OF INFINITE DIMENSIONAL CONTROL SYSTEMS, Pages 269-280, Sanjoy K. Mitter
A DETERMINISTIC MODEL OF THE SPREAD OF AN INFECTION BETWEEN TWO POPULATIONS, Pages 281-291, Paul Waltman
INHOMOGENEOUS FUNCTIONAL AND OPERATIONAL DIFFERENTIAL EQUATIONS, Pages 293-298, Clifford H. Anderson
ON ASYMPTOTIC SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS WITH TIME LAG, Pages 299-307, G. Bojadziev
EXISTENCE AND UNIQUENESS THEOREMS FOR DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENTS OF MIXED TYPE, Pages 309-311, Forbes J. Burkowski
ADMISSIBILITY THEORY AND THE GLOBAL BEHAVIOR OF SOLUTIONS OF FUNCTIONAL EQUATIONS, Pages 313-320, H.E. Gollwitzer
PERIODIC SOLUTIONS OF LIÉNARD EQUATIONS WITH DELAY: SOME THEORETICAL AND NUMERICAL RESULTS, Pages 321-334, R.B. Grafton
OSCILLATORY SOLUTIONS OF x″(t) + a(t)f(x(q(t))) = 0, Pages 335-343, T. Burton, R. Grimmer
AN OPTIMIZATION PROBLEM FOR AN nth ORDER SCALAR NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATION WITH FUNCTIONAL SIDE CONDITIONS, Pages 345-352, Marc Q. Jacobs
A COMPARISON THEOREM AND APPLICATIONS, Pages 353-354, George C.T. Kung
OSCILLATIONS OF NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS GENERATED BY RETARDED ACTIONS, Pages 355-365, Gangaram S. Ladde
ON THE SOLUTIONS OF A NONLINEAR VOLTERRA EQUATION, Pages 367-368, Stig-Olof Londen
FUNCTIONAL DIFFERENTIAL EQUATIONS IN CONTINUUM MECHANICS, Pages 369-371, R.C. MacCamy
OPTIMAL CONTROL OF LINEAR SYSTEMS WITH TIME-VARYING LAGS, Pages 373-386, Henry M. Sendaula
THE FLIP-FLOP CIRCUIT AS A NEUTRAL EQUATION, Pages 387-392, Marshall Slemrod
SUBJECT INDEX, Pages 393-395