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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 |
| Sujets : | |
| Documents associés : | Autre format:
Stability of nonautonomous differential equations |
| Résumé : | 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 reversibility and equivariance properties. Most results are obtained in the infinite-dimensional setting of Banach spaces. Furthermore, the linear variational equations are always assumed to possess a nonuniform exponential behavior, given either by the existence of a nonuniform exponential contraction or a nonuniform exponential dichotomy. The presentation is self-contained and has unified character. The volume contributes towards a rigorous mathematical foundation of the theory in the infinite-dimension setting, and may lead to further developments in the field. The exposition is directed to researchers as well as graduate students interested in differential equations and dynamical systems, particularly in stability theory |
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| Notes : | Description d après consultation du 2010-03-01 L'impression du document génère 283 p. Titre provenant de la page de titre du document numérisé |
| Historique des publications : | Numérisation de l édition de Berlin : Springer , cop. 2008 |
| Configuration requise : | Nécessite un lecteur de fichier PDF |
| Bibliographie : | Bibliogr. Index |
| ISBN : | 978-3-540-74775-8 |