Fundamentals of Ordinary Differential Equations
This textbook offers an introduction to ODEs that focuses on the qualitative behavior of differential equations rather than specialized methods for solving them. The book is organized around this approach with important topics, such as existence, uniqueness, qualitative behaviour, and stability, app...
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| Natura: | Elettronico eBook |
| Lingua: | inglese |
| Pubblicazione: |
Cham :
Springer Nature Switzerland : Imprint: Birkhäuser,
2025.
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| Edizione: | 1st ed. 2025. |
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| Accesso online: | https://doi.org/10.1007/978-3-031-86532-9 |
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Sommario:
- What is an ordinary differential equation?
- First-order differential equations
- Existence and uniqueness theorems
- Linear equations of higher order
- Systems of differential equations
- The qualitative theory and the phase plane
- Solution of differential equations by power series
- The Laplace transform
- Appendix: The orbits of the planets
- Appendix: Historical notes.