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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Sideris, Thomas C. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Paris : Atlantis Press : Imprint: Atlantis Press, 2013.
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.