Book contents
- Frontmatter
- Contents
- Preface
- Part One Linear Equations
- 1 Variable Coefficient, Second Order, Linear, Ordinary Differential Equations
- 2 Legendre Functions
- 3 Bessel Functions
- 4 Boundary Value Problems, Green's Functions and Sturm–Liouville Theory
- 5 Fourier Series and the Fourier Transform
- 6 Laplace Transforms
- 7 Classification, Properties and Complex Variable Methods for Second Order Partial Differential Equations
- Part Two Nonlinear Equations and Advanced Techniques
- Appendix 1 Linear Algebra
- Appendix 2 Continuity and Differentiability
- Appendix 3 Power Series
- Appendix 4 Sequences of Functions
- Appendix 5 Ordinary Differential Equations
- Appendix 6 Complex Variables
- Appendix 7 A Short Introduction to MATLAB
- Bibliography
- Index
4 - Boundary Value Problems, Green's Functions and Sturm–Liouville Theory
Published online by Cambridge University Press: 06 July 2010
- Frontmatter
- Contents
- Preface
- Part One Linear Equations
- 1 Variable Coefficient, Second Order, Linear, Ordinary Differential Equations
- 2 Legendre Functions
- 3 Bessel Functions
- 4 Boundary Value Problems, Green's Functions and Sturm–Liouville Theory
- 5 Fourier Series and the Fourier Transform
- 6 Laplace Transforms
- 7 Classification, Properties and Complex Variable Methods for Second Order Partial Differential Equations
- Part Two Nonlinear Equations and Advanced Techniques
- Appendix 1 Linear Algebra
- Appendix 2 Continuity and Differentiability
- Appendix 3 Power Series
- Appendix 4 Sequences of Functions
- Appendix 5 Ordinary Differential Equations
- Appendix 6 Complex Variables
- Appendix 7 A Short Introduction to MATLAB
- Bibliography
- Index
Summary
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- Type
- Chapter
- Information
- Differential EquationsLinear, Nonlinear, Ordinary, Partial, pp. 93 - 122Publisher: Cambridge University PressPrint publication year: 2003