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Ordinary Differential Equations

  • Textbook
  • © 1998

Overview

Authors:
  1. Wolfgang Walter

    1. Mathematisches Institut I, Universität Karlsruhe, Karlsruhe, Germany

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

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xi
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  2. Introduction

    • Wolfgang Walter
    Pages 1-7

  3. First Order Equations: Some Integrable Cases

    • Wolfgang Walter
    Pages 9-52

  4. Theory of First Order Differential Equations

    • Wolfgang Walter
    Pages 53-104

  5. First Order Systems. Equations of Higher Order

    • Wolfgang Walter
    Pages 105-157

  6. Linear Differential Equations

    • Wolfgang Walter
    Pages 159-212

  7. Complex Linear Systems

    • Wolfgang Walter
    Pages 213-244

  8. Boundary Value and Eigenvalue Problems

    • Wolfgang Walter
    Pages 245-303

  9. Stability and Asymptotic Behavior

    • Wolfgang Walter
    Pages 305-331

  10. Back Matter

    Pages 333-384
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Keywords

About this book

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.

Authors and Affiliations

  • Mathematisches Institut I, Universität Karlsruhe, Karlsruhe, Germany

    Wolfgang Walter

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

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1998

  • Hardcover ISBN: 978-0-387-98459-9Published: 01 July 1998

  • Softcover ISBN: 978-1-4612-6834-5Published: 17 October 2012

  • eBook ISBN: 978-1-4612-0601-9Published: 11 March 2013

  • Series ISSN: 0072-5285

  • Series E-ISSN: 2197-5612

  • Edition Number: 1

  • Number of Pages: XI, 384

  • Topics: Analysis

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