Delay and functional differential equations and their applications: (proceedings of a conferenceheld at Park City, Utah, March6-11, 1972)

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 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