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...

Disgrifiad llawn

Wedi'i Gadw mewn:
Manylion Llyfryddiaeth
Prif Awdur: Sideris, Thomas C.
Fformat: Livre numérique
Iaith:Anglais
Cyhoeddwyd: Paris : Atlantis Press 2013.
Cham : Springer Nature
Cyfres:Atlantis Studies in Differential Equations 2
Pynciau:
Mynediad Ar-lein:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Nodyn: Archives Springer e-books (Licence nationale)
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Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Ordinary differential equations and dynamical systems, Thomas C. Sideris, 2013, Paris, Atlantis Press, 1 vol. (XI-225 p.), Atlantis studies in differential equations, 978-94-6239-020-1
• Ordinary Differential Equations and Dynamical Systems, Texte imprimé, 9789462390225
Tabl Cynhwysion:
  • 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.