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Functional Differential Equations with Infinite Delay

  • Authors
  • Yoshiyuki Hino
  • Satoru Murakami
  • Toshiki Naito

Part of the Lecture Notes in Mathematics book series (LNM, volume 1473)

Table of contents

  1. Front Matter
    Pages I-X
  2. Yoshiyuki Hino, Satoru Murakami, Toshiki Naito
    Pages 1-34
  3. Yoshiyuki Hino, Satoru Murakami, Toshiki Naito
    Pages 35-52
  4. Yoshiyuki Hino, Satoru Murakami, Toshiki Naito
    Pages 53-98
  5. Yoshiyuki Hino, Satoru Murakami, Toshiki Naito
    Pages 99-129
  6. Yoshiyuki Hino, Satoru Murakami, Toshiki Naito
    Pages 130-176
  7. Yoshiyuki Hino, Satoru Murakami, Toshiki Naito
    Pages 177-186
  8. Yoshiyuki Hino, Satoru Murakami, Toshiki Naito
    Pages 187-214
  9. Yoshiyuki Hino, Satoru Murakami, Toshiki Naito
    Pages 215-253
  10. Yoshiyuki Hino, Satoru Murakami, Toshiki Naito
    Pages 254-276
  11. Back Matter
    Pages 277-317

About this book

Introduction

In the theory of functional differential equations with infinite delay, there are several ways to choose the space of initial functions (phase space); and diverse (duplicated) theories arise, according to the choice of phase space. To unify the theories, an axiomatic approach has been taken since the 1960's. This book is intended as a guide for the axiomatic approach to the theory of equations with infinite delay and a culmination of the results obtained in this way. It can also be used as a textbook for a graduate course. The prerequisite knowledge is foundations of analysis including linear algebra and functional analysis. It is hoped that the book will prepare students for further study of this area, and that will serve as a ready reference to the researchers in applied analysis and engineering sciences.

Keywords

Analysis Differentialgleichungen Functional differential equations delay differential equations differential equation functional analysis periodic equations stability

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0084432
  • Copyright Information Springer-Verlag Berlin Heidelberg 1991
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-54084-7
  • Online ISBN 978-3-540-47388-6
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site