Ordinary Differential Equations and Dynamical Systems
This book is a mathematically rigorous introduction to the beautiful subject of ordinary differential equations for beginning graduate or advanced undergraduate students. Students should have a solid background in analysis and linear algebra. The presentation emphasizes commonly used techniques with...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Autor Corporativo: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Paris :
Atlantis Press : Imprint: Atlantis Press,
2013.
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Edición: | 1st ed. 2013. |
Colección: | Atlantis Studies in Differential Equations,
2 |
Temas: | |
Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- Introduction
- Linear Systems
- Existence Theory
- Nonautomous Linear Systems
- Results from Functional Analysis
- Dependence on Initial Conditions and Parameters
- Linearization and Invariant Manifolds
- Periodic Solutions
- Center Manifolds and Bifurcation Theory
- The Birkhoff Smale Homoclinic Theorem
- Appendix: Results from Real Analysis.