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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Auteurs principaux : | , |
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Format : | Livre |
Langue : | anglais |
Titre complet : | Stability of Nonautonomous Differential Equations / Luis Barreira, Claudia Valls. |
Publié : |
Berlin, Heidelberg :
Springer Berlin Heidelberg
, 2008 Springer e-books |
Collection : | Lecture notes in mathematics (Internet) ; 1926 |
Titre de l'ensemble : | Lecture Notes in Mathematics vol. 1926 |
Disponibilité : | L'accès complet au document est réservé aux usagers des établissements qui en ont fait l'acquisition |
Contenu : | 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 |
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Documents associés : | Autre format:
Stability of nonautonomous differential equations |
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