Book 2008

An Introduction to Ordinary Differential Equations

Authors:

ISBN: 978-0-387-71275-8 (Print) 978-0-387-71276-5 (Online)

Table of contents (42 chapters)

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  1. Front Matter

    Pages 1-12

  2. Chapter

    Pages 1-6

    Introduction

  3. Chapter

    Pages 7-12

    Historical Notes

  4. Chapter

    Pages 13-20

    Exact Equations

  5. Chapter

    Pages 21-27

    Elementary First-Order Equations

  6. Chapter

    Pages 28-34

    First-Order Linear Equations

  7. Chapter

    Pages 35-44

    Second-Order Linera Equations

  8. Chapter

    Pages 45-52

    Preliminaries to Existence and Uniqueness of Solutions

  9. Chapter

    Pages 53-60

    Picard's Method of Successive Approximations

  10. Chapter

    Pages 61-67

    Existence Theorems

  11. Chapter

    Pages 68-76

    Uniqueness Theorems

  12. Chapter

    Pages 77-83

    Differential Inequalities

  13. Chapter

    Pages 84-90

    Continuous Dependence on Initial Conditions

  14. Chapter

    Pages 91-96

    Preliminary Results from Algebra and Analysis

  15. Chapter

    Pages 97-102

    Preliminary Results from Algebra and Analysis (Contd.)

  16. Chapter

    Pages 103-108

    Existence and Uniqueness of Solutions of Systems

  17. Chapter

    Pages 109-115

    Existence and Uniqueness of Solutions of Systems (Contd.)

  18. Chapter

    Pages 116-123

    General Properties of Linear Systems

  19. Chapter

    Pages 124-132

    Fundamental Matrix Solution

  20. Chapter

    Pages 133-143

    Systems with Constant Coefficients

  21. Chapter

    Pages 144-151

    Periodic Linear Systems

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