Delay and Functional Differential Equations and Their Applications
Published on 10. May 2014
412 pages
978-1-4832-7233-7 (ISBN)
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.
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03/1973
Academic Press
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Content
ParticipantsPrefaceInvited 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(¿x) +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 PopulationsContributed 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 EquationSubject Index
