Theory of Functional Differential Equations

  • Jack K. Hale

Part of the Applied Mathematical Sciences book series (AMS, volume 3)

Table of contents

  1. Front Matter
    Pages i-x
  2. Jack K. Hale
    Pages 1-10
  3. Jack K. Hale
    Pages 11-35
  4. Jack K. Hale
    Pages 57-75
  5. Jack K. Hale
    Pages 76-102
  6. Jack K. Hale
    Pages 103-140
  7. Jack K. Hale
    Pages 141-164
  8. Jack K. Hale
    Pages 165-190
  9. Jack K. Hale
    Pages 191-203
  10. Jack K. Hale
    Pages 204-226
  11. Jack K. Hale
    Pages 245-271
  12. Jack K. Hale
    Pages 272-319
  13. Jack K. Hale
    Pages 320-335
  14. Back Matter
    Pages 337-366

About this book

Introduction

Since the publication of my lecture notes, Functional Differential Equations in the Applied Mathematical Sciences series, many new developments have occurred. As a consequence, it was decided not to make a few corrections and additions for a second edition of those notes, but to present a more compre­ hensive theory. The present work attempts to consolidate those elements of the theory which have stabilized and also to include recent directions of research. The following chapters were not discussed in my original notes. Chapter 1 is an elementary presentation of linear differential difference equations with constant coefficients of retarded and neutral type. Chapter 4 develops the recent theory of dissipative systems. Chapter 9 is a new chapter on perturbed systems. Chapter 11 is a new presentation incorporating recent results on the existence of periodic solutions of autonomous equations. Chapter 12 is devoted entirely to neutral equations. Chapter 13 gives an introduction to the global and generic theory. There is also an appendix on the location of the zeros of characteristic polynomials. The remainder of the material has been completely revised and updated with the most significant changes occurring in Chapter 3 on the properties of solutions, Chapter 5 on stability, and Chapter lOon behavior near a periodic orbit.

Keywords

Differential Equations Funktional-Differentialgleichung addition behavior bifurcation boundary element method compactness development difference equation differential equation eXist functional manifold maximum stability

Authors and affiliations

  • Jack K. Hale
    • 1
  1. 1.Division of Applied MathematicsBrown UniversityProvidenceUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-9892-2
  • Copyright Information Springer-Verlag New York 1977
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-9894-6
  • Online ISBN 978-1-4612-9892-2
  • Series Print ISSN 0066-5452
  • About this book