Center Manifolds for Non-instantaneous Impulsive Equations Under Nonuniform Hyperbolicity
| Autor: | Li, Mengmeng, Wang, JinRong, O’Regan, Donal, Fečkan, Michal |
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| Jazyk: | English<br />French |
| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Comptes Rendus. Mathématique, Vol 358, Iss 3, Pp 341-364 (2020) |
| Druh dokumentu: | article |
| ISSN: | 1778-3569 35907509 |
| DOI: | 10.5802/crmath.47 |
| Popis: | In this paper, we establish the existence of smooth center manifolds for a class of nonautonomous differential equations with non-instantaneous impulses under sufficiently small perturbations of the linear homogeneous part which has a nonuniform exponential trichotomy. In addition, we show the $C^{1}$ smoothness of center manifolds outside the jumping times. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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