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...
Κύριος συγγραφέας: | |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Paris :
Atlantis Press : Imprint: Atlantis Press,
2013.
|
Σειρά: | Atlantis Studies in Differential Equations,
2 |
Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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.