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 |
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