A Textbook on Ordinary Differential Equations
The book is a primer of the theory of Ordinary Differential Equations. Each chapter is completed by a broad set of exercises; the reader will also find a set of solutions of selected exercises. The book contains many interesting examples as well (like the equations for the electric circuits, the pen...
Κύριοι συγγραφείς: | , |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Cham :
Springer International Publishing : Imprint: Springer,
2014.
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Σειρά: | UNITEXT,
73 |
Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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 2×2 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
- Appendix A. Numerical methods
- Answers to Selected Exercises.