Stability of Nonautonomous Differential Equations

Main theme of this volume is the stability of nonautonomous differential equations, with emphasis on the Lyapunov stability of solutions, the existence and smoothness of invariant manifolds, the construction and regularity of topological conjugacies, the study of center manifolds, as well as their r...

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Bibliografiske detaljer
Auteurs principaux: Barreira, Luís Manuel, 1968-, Valls, Clàudia, 1973- (Auteur)
Format: Livre numérique
Sprog:Anglais
Udgivet: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Udgivelse:1st ed. 2008.
Serier:Lecture Notes in Mathematics 1926
Fag:
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Kommentar: L'impression du document génère 283 p.
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Edition sous un autre format:• Stability of nonautonomous differential equations, Luis Barreira, Claudia Valls, 2008, Berlin, Springer, 1 vol. (XIV-285 p.), Lecture Notes in Mathematics, 978-3-540-74774-1
Indholdsfortegnelse:
  • Exponential dichotomies Exponential dichotomies and basic properties Robustness of nonuniform exponential dichotomies Stable manifolds and topological conjugacies Lipschitz stable manifolds Smooth stable manifolds in Rn Smooth stable manifolds in Banach spaces A nonautonomous Grobman Hartman theorem Center manifolds, symmetry and reversibility Center manifolds in Banach spaces Reversibility and equivariance in center manifolds Lyapunov regularity and stability theory Lyapunov regularity and exponential dichotomies Lyapunov regularity in Hilbert spaces Stability of nonautonomous equations in Hilbert spaces