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© 1998

Ordinary Differential Equations

Textbook

Part of the Graduate Texts in Mathematics book series (GTM, volume 182)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Wolfgang Walter
    Pages 1-7
  3. Wolfgang Walter
    Pages 53-104
  4. Wolfgang Walter
    Pages 105-157
  5. Wolfgang Walter
    Pages 159-212
  6. Wolfgang Walter
    Pages 213-244
  7. Wolfgang Walter
    Pages 245-303
  8. Wolfgang Walter
    Pages 305-331
  9. Back Matter
    Pages 333-384

About this book

Introduction

Develops the theory of initial-, boundary-, and eigenvalue problems, real and complex linear systems, asymptotic behavior and stability. Using novel approaches to many subjects, the book emphasizes differential inequalities and treats more advanced topics such as Caratheodory theory, nonlinear boundary value problems and radially symmetric elliptic problems. New proofs are given which use concepts and methods from functional analysis. Applications from mechanics, physics, and biology are included, and exercises, which range from routine to demanding, are dispersed throughout the text. Solutions for selected exercises are included at the end of the book. All required material from functional analysis is developed in the book and is accessible to students with a sound knowledge of calculus and familiarity with notions from linear algebra. This text would be an excellent choice for a course for beginning graduate or advanced undergraduate students.

Keywords

Boundary value problem Eigenvalue Hilbert space calculus differential equation eigenvalue problem functional analysis maximum minimum ordinary differential equation

Authors and affiliations

  1. 1.Mathematisches Institut IUniversität KarlsruheKarlsruheGermany

Bibliographic information

  • Book Title Ordinary Differential Equations
  • Authors Wolfgang Walter
  • Series Title Graduate Texts in Mathematics
  • DOI https://doi.org/10.1007/978-1-4612-0601-9
  • Copyright Information Springer-Verlag New York, Inc. 1998
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-387-98459-9
  • Softcover ISBN 978-1-4612-6834-5
  • eBook ISBN 978-1-4612-0601-9
  • Series ISSN 0072-5285
  • Edition Number 1
  • Number of Pages XI, 384
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Analysis
  • Buy this book on publisher's site
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