Delay Equations

Functional-, Complex-, and Nonlinear Analysis

  • Odo Diekmann
  • Sjoerd M. Verduyn Lunel
  • Stephan A. van Gils
  • Hanns-Otto Walther

Part of the Applied Mathematical Sciences book series (AMS, volume 110)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Odo Diekmann, Sjoerd M. Verduyn Lunel, Stephan A. van Gils, Hanns-Otto Walther
    Pages 1-10
  3. Odo Diekmann, Sjoerd M. Verduyn Lunel, Stephan A. van Gils, Hanns-Otto Walther
    Pages 11-35
  4. Odo Diekmann, Sjoerd M. Verduyn Lunel, Stephan A. van Gils, Hanns-Otto Walther
    Pages 36-50
  5. Odo Diekmann, Sjoerd M. Verduyn Lunel, Stephan A. van Gils, Hanns-Otto Walther
    Pages 51-94
  6. Odo Diekmann, Sjoerd M. Verduyn Lunel, Stephan A. van Gils, Hanns-Otto Walther
    Pages 95-134
  7. Odo Diekmann, Sjoerd M. Verduyn Lunel, Stephan A. van Gils, Hanns-Otto Walther
    Pages 135-192
  8. Odo Diekmann, Sjoerd M. Verduyn Lunel, Stephan A. van Gils, Hanns-Otto Walther
    Pages 193-200
  9. Odo Diekmann, Sjoerd M. Verduyn Lunel, Stephan A. van Gils, Hanns-Otto Walther
    Pages 201-241
  10. Odo Diekmann, Sjoerd M. Verduyn Lunel, Stephan A. van Gils, Hanns-Otto Walther
    Pages 242-258
  11. Odo Diekmann, Sjoerd M. Verduyn Lunel, Stephan A. van Gils, Hanns-Otto Walther
    Pages 259-286
  12. Odo Diekmann, Sjoerd M. Verduyn Lunel, Stephan A. van Gils, Hanns-Otto Walther
    Pages 287-301
  13. Odo Diekmann, Sjoerd M. Verduyn Lunel, Stephan A. van Gils, Hanns-Otto Walther
    Pages 302-338
  14. Odo Diekmann, Sjoerd M. Verduyn Lunel, Stephan A. van Gils, Hanns-Otto Walther
    Pages 339-354
  15. Odo Diekmann, Sjoerd M. Verduyn Lunel, Stephan A. van Gils, Hanns-Otto Walther
    Pages 355-363
  16. Odo Diekmann, Sjoerd M. Verduyn Lunel, Stephan A. van Gils, Hanns-Otto Walther
    Pages 364-378
  17. Odo Diekmann, Sjoerd M. Verduyn Lunel, Stephan A. van Gils, Hanns-Otto Walther
    Pages 379-425
  18. Odo Diekmann, Sjoerd M. Verduyn Lunel, Stephan A. van Gils, Hanns-Otto Walther
    Pages 426-442
  19. Back Matter
    Pages 514-535

About this book

Introduction

The aim of this book is to provide an introduction to the mathematical theory of infinite dimensional dynamical systems by focusing on a relatively simple, yet rich, class of examples, that is, those described by delay differential equations. It is a textbook giving detailed proofs and providing many exercises, which is intended both for self-study and for courses at a graduate level. The book would also be suitable as a reference for basic results. As the subtitle indicates, the book is about concepts, ideas, results and methods from linear functional analysis, complex function theory, the qualitative theory of dynamical systems and nonlinear analysis. After studying this book, the reader should have a working knowledge of applied functional analysis and dynamical systems.

Keywords

Eigenvalue Smooth function calculus differential equation functional analysis measure spectral theorem

Authors and affiliations

  • Odo Diekmann
    • 1
    • 2
  • Sjoerd M. Verduyn Lunel
    • 3
  • Stephan A. van Gils
    • 4
  • Hanns-Otto Walther
    • 5
  1. 1.Centrum voor Wiskunde en InformaticaAmsterdamThe Netherlands
  2. 2.Instituut voor Theoretische BiologieRijkuniversiteit LeidenLeidenThe Netherlands
  3. 3.Faculteit der Wiskunde en InformaticaUniversiteit van AmsterdamAmsterdamThe Netherlands
  4. 4.Faculteit der Toegepaste WiskundeUniversiteit TwenteEnschedeThe Netherlands
  5. 5.Mathematisches InstitutJustus-Leibig-UniversitätGiessenGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-4206-2
  • Copyright Information Springer-Verlag New York 1995
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-8696-7
  • Online ISBN 978-1-4612-4206-2
  • Series Print ISSN 0066-5452
  • About this book
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