Delay and Functional Differential Equations and Their Applications - 1st Edition - ISBN: 9780126272505, 9781483272337

Delay and Functional Differential Equations and Their Applications

1st Edition

Editors: Klaus Schmitt
eBook ISBN: 9781483272337
Imprint: Academic Press
Published Date: 1st January 1972
Page Count: 412
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Description

Delay and Functional Differential Equations and Their Applications provides information pertinent to the fundamental aspects of functional differential equations and its applications. This book covers a variety of topics, including qualitative and geometric theory, control theory, Volterra equations, numerical methods, the theory of epidemics, problems in physiology, and other areas of applications.

Organized into two parts encompassing 25 chapters, this book begins with an overview of problems involving functional differential equations with terminal conditions in function spaces. This text then examines the numerical methods for functional differential equations. Other chapters consider the theory of radiative transfer, which give rise to several interesting functional partial differential equations. This book discusses as well the theory of embedding fields, which studies systems of nonlinear functional differential equations that can be derived from psychological postulates and interpreted as neural networks. The final chapter deals with the usefulness of the flip-flop circuit.

This book is a valuable resource for mathematicians.

Table of Contents


Participants


Preface


Invited Papers


Control of Functional Differential Equations with Function Space Boundary Conditions


Numerical Methods for Functional Differential Equations


Some Harmless Delays


Pattern Learning by Functional-Differential Neural Networks with Arbitrary Path Weights


Differential Equations in Physiology and How to Find Them


Basic Frequency Periodic Motions in Noncompact Dynamical Processes


Asymptotic Behavior of Solutions of the Functional Differential Equation y'(x) = ay(λx) +by(x)


Oscillations of Higher-Order Retarded Differential Equations Generated by the Retarded Argument


Remarks on a Volterra Equation


Asymptotic Stability and Perturbations for Linear Volterra Integrodifferential Systems


The Infinite Time Quadratic Cost Problem for Certain Classes of Infinite Dimensional Control Systems


A Deterministic Model of the Spread of an Infection Between Two Populations


Contributed Papers


Inhomogeneous Functional and Operational Differential Equations


On Asymptotic Solutions of Nonlinear Differential Equations with Time Lag


Existence and Uniqueness Theorems for Differential Equations with Deviating Arguments of Mixed Type


Admissibility Theory and the Global Behavior of Solutions of Functional Equations


Periodic Solutions of Lienard Equations with Delay: Some Theoretical and Numerical Results


Oscillatory Solutions of x"(t) + a(t)f{x[q(t)]} = 0


An Optimization Problem for an nth Order Scalar Neutral Functional Differential Equation with Functional Side Conrlitions


A Comparison Theorem and Applications


Oscillations of Nonlinear Functional Differential Equations Generated by Retarded Actions


On the Solutions of a Nonlinear

Details

No. of pages:
412
Language:
English
Copyright:
© Academic Press 1972
Published:
Imprint:
Academic Press
eBook ISBN:
9781483272337

About the Editor

Klaus Schmitt

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