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Basic Theory of Ordinary Differential Equations

  • Po-Fang Hsieh
  • Yasutaka Sibuya

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Po-Fang Hsieh, Yasutaka Sibuya
    Pages 1-27
  3. Po-Fang Hsieh, Yasutaka Sibuya
    Pages 28-40
  4. Po-Fang Hsieh, Yasutaka Sibuya
    Pages 41-68
  5. Po-Fang Hsieh, Yasutaka Sibuya
    Pages 69-107
  6. Po-Fang Hsieh, Yasutaka Sibuya
    Pages 108-143
  7. Po-Fang Hsieh, Yasutaka Sibuya
    Pages 197-234
  8. Po-Fang Hsieh, Yasutaka Sibuya
    Pages 235-278
  9. Po-Fang Hsieh, Yasutaka Sibuya
    Pages 279-303
  10. Po-Fang Hsieh, Yasutaka Sibuya
    Pages 342-371
  11. Po-Fang Hsieh, Yasutaka Sibuya
    Pages 372-402
  12. Po-Fang Hsieh, Yasutaka Sibuya
    Pages 403-452
  13. Back Matter
    Pages 453-469

About this book

Introduction

The authors' aim is to provide the reader with the very basic knowledge necessary to begin research on differential equations with professional ability. The selection of topics should provide the reader with methods and results that are applicable in a variety of different fields. The text is suitable for a one-year graduate course, as well as a reference book for research mathematicians. The book is divided into four parts. The first covers fundamental existence, uniqueness, smoothness with respect to data, and nonuniqueness. The second part describes the basic results concerning linear differential equations, the third deals with nonlinear equations. In the last part the authors write about the basic results concerning power series solutions. Each chapter begins with a brief discussion of its contents and history. The book has 114 illustrations and 206 exercises. Hints and comments for many problems are given.

Keywords

Differential operator Eigenvalue Ordinary Differential Equations Smooth function differential equation maximum minimum ordinary differential equation

Authors and affiliations

  • Po-Fang Hsieh
    • 1
  • Yasutaka Sibuya
    • 2
  1. 1.Department of Mathematics and StatisticsWestern Michigan UniversityKalamazooUSA
  2. 2.School of MathematicsUniversity of MinnesotaMinneapolisUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-1506-6
  • Copyright Information Springer-Verlag New York, Inc. 1999
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-7171-0
  • Online ISBN 978-1-4612-1506-6
  • Series Print ISSN 0172-5939
  • Series Online ISSN 2191-6675
  • Buy this book on publisher's site