Delay and Functional Differential Equations and Their Applications

Delay and Functional Differential Equations and Their Applications

1st Edition - January 1, 1972

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  • Editor: Klaus Schmitt
  • eBook ISBN: 9781483272337

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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


    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 Volterra Equation

    Functional Differential Equations in Continuum Mechanics

    Optimal Control of Linear Systems with Time-Varying Lags

    The Flip-Flop Circuit as a Neutral Equation

    Subject Index

Product details

  • No. of pages: 412
  • Language: English
  • Copyright: © Academic Press 1972
  • Published: January 1, 1972
  • Imprint: Academic Press
  • eBook ISBN: 9781483272337

About the Editor

Klaus Schmitt

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