Introduction to Functional Differential Equations / Edition 1

Introduction to Functional Differential Equations / Edition 1

by Jack K. Hale, Sjoerd M. Verduyn Lunel
     
 

The present book builds upon the earlier work of J. Hale, "Theory of Functional Differential Equations" published in 1977. The authors have attempted to maintain the spirit of that book and have retained approximately one-third of the material intact. One major change was a completely new presentation of linear systems (Chapter 6-9) for retarded and neutral

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Overview

The present book builds upon the earlier work of J. Hale, "Theory of Functional Differential Equations" published in 1977. The authors have attempted to maintain the spirit of that book and have retained approximately one-third of the material intact. One major change was a completely new presentation of linear systems (Chapter 6-9) for retarded and neutral functional differential equations. The theory of dissipative systems (Chapter 4) and global attractors was thoroughly revamped as well as the invariant manifold theory (Chapter 10) near equilibrium points and periodic orbits. A more complete theory of neutral equations is presented (Chapters 1,2,3,9,10). Chapter 12 is also entirely new and contains a guide to active topics of research. In the sections on supplementary remarks, the authors have included many references to recent literature, but, of course, not nearly all, because the subject is so extensive.

Product Details

ISBN-13:
9780387940762
Publisher:
Springer New York
Publication date:
10/14/1993
Series:
Applied Mathematical Sciences Series, #99
Edition description:
1993
Pages:
449
Product dimensions:
1.06(w) x 6.14(h) x 9.21(d)

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Table of Contents

Preface
Introduction1
1Linear differential difference equations11
2Functional differential equations: Basic theory38
3Properties of the solution map67
4Autonomous and periodic processes100
5Stability theory130
6General linear systems167
7Linear autonomous equations193
8Periodic systems236
9Equations of neutral type255
10Near equilibrium and periodic orbits302
11Periodic solutions of autonomous equations331
12Additional topics364
Appendix: Stability of characteristic equations414
Bibliography419
Index444

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