A Textbook on Ordinary Differential Equations
This book offers readers a primer on the theory and applications of Ordinary Differential Equations. The style used is simple, yet thorough and rigorous. Each chapter ends with a broad set of exercises that range from the routine to the more challenging and thought-provoking. Solutions to selected e...
| Main Authors: | , |
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| Corporate Author: | |
| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Springer,
2015.
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| Edition: | 2nd ed. 2015. |
| Series: | La Matematica per il 3+2,
88 |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/978-3-319-16408-3 |
Table of Contents:
- 1 First order linear differential equations
- 2 Theory of first order differential equations
- 3 First order nonlinear differential equations
- 4 Existence and uniqueness for systems and higher order equations
- 5 Second order equations
- 6 Higher order linear equations
- 7 Systems of first order equations
- 8 Qualitative analysis of 2x2 systems and nonlinear second order equations
- 9 Sturm Liouville eigenvalue theory
- 10 Solutions by infinite series and Bessel functions
- 11 Laplace transform
- 12 Stability theory
- 13 Boundary value problems
- 14 Appendix A. Numerical methods
- 15 Answers to selected exercises.