Book contents
- Frontmatter
- Dedication
- Contents
- Figures
- Preface
- Acknowledgement
- 1 Introduction and Examples: Physical Models
- 2 Preliminaries
- 3 First and Second Order Linear Equations
- 4 General Theory of Initial Value Problems
- 5 Linear Systems and Qualitative Analysis
- 6 Series Solutions: Frobenius Theory
- 7 Regular Sturm–Liouville Theory
- 8 Qualitative Theory
- 9 Two Point Boundary Value Problems
- 10 First Order Partial Differential Equations: Method of Characteristics
- Appendix A Poincarè–Bendixon and Leinard's Theorems
- Bibliography
- Index
4 - General Theory of Initial Value Problems
Published online by Cambridge University Press: 14 December 2017
- Frontmatter
- Dedication
- Contents
- Figures
- Preface
- Acknowledgement
- 1 Introduction and Examples: Physical Models
- 2 Preliminaries
- 3 First and Second Order Linear Equations
- 4 General Theory of Initial Value Problems
- 5 Linear Systems and Qualitative Analysis
- 6 Series Solutions: Frobenius Theory
- 7 Regular Sturm–Liouville Theory
- 8 Qualitative Theory
- 9 Two Point Boundary Value Problems
- 10 First Order Partial Differential Equations: Method of Characteristics
- Appendix A Poincarè–Bendixon and Leinard's Theorems
- Bibliography
- Index
Summary
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- Type
- Chapter
- Information
- Ordinary Differential EquationsPrinciples and Applications, pp. 99 - 133Publisher: Cambridge University PressPrint publication year: 2017