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: | , |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Édition: | 1st ed. 2008. |
| Collection: | Lecture Notes in Mathematics
1926 |
| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
L'impression du document génère 283 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| 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 |
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| 100 | 1 | |a Barreira, Luís Manuel, |d 1968- | |
| 245 | 1 | 0 | |a Stability of Nonautonomous Differential Equations |c Luis Barreira, Claudia Valls. |
| 250 | |a 1st ed. 2008. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture Notes in Mathematics |v 1926 |x 1617-9692 | |
| 500 | |a L'impression du document génère 283 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | ||
| 650 | |a Équations différentielles | ||
| 650 | |a Théorie ergodique | ||
| 650 | |a Mathématiques | ||
| 700 | 1 | |a Valls, Clàudia, |d 1973- |4 aut | |
| 776 | 0 | |0 119025698 |t Stability of nonautonomous differential equations |f Luis Barreira, Claudia Valls |d 2008 |c Berlin |n Springer |p 1 vol. (XIV-285 p.) |s Lecture Notes in Mathematics |z 978-3-540-74774-1 | |
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