Boundary Value Problems for Functional Differential Equations

Boundary Value Problems for Functional Differential Equations

by Johnny Henderson
     
 

ISBN-10: 9810224052

ISBN-13: 9789810224059

Pub. Date: 10/28/1995

Publisher: World Scientific Publishing Company, Incorporated

Functional differential equations have received attention since the 1920's. Within that development, boundary value problems have played a prominent role in both the theory and applications dating back to the 1960's. This book attempts to present some of the more recent developments from a cross-section of views on boundary value problems for functional…  See more details below

Overview

Functional differential equations have received attention since the 1920's. Within that development, boundary value problems have played a prominent role in both the theory and applications dating back to the 1960's. This book attempts to present some of the more recent developments from a cross-section of views on boundary value problems for functional differential equations.Contributions represent not only a flavor of classical results involving, for example, linear methods and oscillation-nonoscillation techiques, but also modern nonlinear methods for problems involving stability and control as well as cone theoretic, degree theoretic, and topological transversality strategies. A balance with applications is provided through a number of papers dealing with a pendulum with dry friction, heat conduction in a thin stretched resistance wire, problems involving singularities, impulsive systems, traveling waves, climate modeling, and economic control.With the importance of boundary value problems for functional differential equations in applications, it is not surprising that as new applications arise, modifications are required for even the definitions of the basic equations. This is the case for some of the papers contributed by the Perm seminar participants. Also, some contributions are devoted to delay Fredholm integral equations, while a few papers deal with what might be termed as boundary value problems for delay-difference equations.

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Product Details

ISBN-13:
9789810224059
Publisher:
World Scientific Publishing Company, Incorporated
Publication date:
10/28/1995
Pages:
316

Table of Contents

Preface
Right Focal Point Boundary Value Problems for Functional-Differential Equations1
The Ideas and Methods of the Perm Seminar on Boundary Value Problems13
On Extension of the Vallee-Poussin Theorem to Equations With Aftereffect23
Initial-Boundary Value Problems for Impulsive Parabolic Functional Differential Equations37
Boundary Value Problems on Infinite Intervals49
Existence of Steady-State Solutions to Some Constant-Voltage Problems63
An Existence Theorem for Hereditary Lagrange Problems on an Unbounded Interval73
Dynamical Spectrum for Skew Product Flow in Banach Spaces85
On Boundary Value Problems for First Order Impulse Functional Differential Equations107
Linearized Problems and Continuous Dependence119
Positive Solutions and Conjugate Points for a Class of Linear Functional Differential Equations131
Boundary Value Problems for Second Order Mixed Type Functional Differential Equations143
The Filippov Approach to Boundary and Initial Value Problems and Applications153
An Existence Result for Delay Equations Under Semilinear Boundary Conditions165
Periodic Solutions of Functional Differential Equations of Retarded and Neutral Types in Banach Spaces177
Existence of Traveling Waves for Reaction Diffusion Equations of Fisher Type in Periodic Media187
Permanence of Periodic Solutions of Retarded Functional Differential Equations201
Method of Quasilinearization for Boundary Value Problems for Functional Differential Equations209
A Resolvent Computation Related to Completeness for Compact Operators215
The Study of the Solvability of Boundary Value Problems for Functional Differential Equations: A Constructive Approach227
Boundary Value Problems for Neutral Functional Diffential Equations239
Existence Principles for Nonlinear Operator Equations251
Sturmian Theory and Oscillation of a Third Order Linear Difference Equation261
Multipoint Boundary Value Problems for Functional Differential Equations269
Third Order Boundary Value Problems for Differential Equations with Deviating Arguments277
Periodic Solutions and Liapunov Functionals289
Boundary Value Problems of Second Order Functional Differential Equations301

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