Skip to main content
SpringerLink
Log in
Book cover

Functional Differential Equations with Infinite Delay

  • Book
  • © 1991
Download book PDF

Overview

Authors:
  1. Yoshiyuki Hino
    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Satoru Murakami
    View author publications

    You can also search for this author in PubMed   Google Scholar

  3. Toshiki Naito
    View author publications

    You can also search for this author in PubMed   Google Scholar

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

Buy print copy

Softcover Book USD 59.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Table of contents (9 chapters)

  1. Front Matter

    Pages I-X
    Download chapter PDF

  2. Phase Spaces

    • Yoshiyuki Hino, Satoru Murakami, Toshiki Naito
    Pages 1-34
    Download chapter PDF

  3. Fundamental theorems

    • Yoshiyuki Hino, Satoru Murakami, Toshiki Naito
    Pages 35-52
    Download chapter PDF

  4. Stieltjes integrals and linear operators on ℬ

    • Yoshiyuki Hino, Satoru Murakami, Toshiki Naito
    Pages 53-98
    Download chapter PDF

  5. General linear systems

    • Yoshiyuki Hino, Satoru Murakami, Toshiki Naito
    Pages 99-129
    Download chapter PDF

  6. Linear autonomous systems

    • Yoshiyuki Hino, Satoru Murakami, Toshiki Naito
    Pages 130-176
    Download chapter PDF

  7. Linear periodic systems

    • Yoshiyuki Hino, Satoru Murakami, Toshiki Naito
    Pages 177-186
    Download chapter PDF

  8. Fading memory spaces and functional differential equations

    • Yoshiyuki Hino, Satoru Murakami, Toshiki Naito
    Pages 187-214
    Download chapter PDF

  9. Stabilities in perturbed systems and limiting equations

    • Yoshiyuki Hino, Satoru Murakami, Toshiki Naito
    Pages 215-253
    Download chapter PDF

  10. Existence of periodic solutions and almost periodic solutions

    • Yoshiyuki Hino, Satoru Murakami, Toshiki Naito
    Pages 254-276
    Download chapter PDF

  11. Back Matter

    Pages 277-317
    Download chapter PDF
Back to top

Keywords

About this book

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.

Bibliographic Information

  • Book Title: Functional Differential Equations with Infinite Delay

  • Authors: Yoshiyuki Hino, Satoru Murakami, Toshiki Naito

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0084432

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1991

  • Softcover ISBN: 978-3-540-54084-7Published: 26 July 1991

  • eBook ISBN: 978-3-540-47388-6Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: X, 318

  • Topics: Analysis

Publish with us

Policies and ethics

Back to top

Search

Navigation