Center Manifolds for Non-instantaneous Impulsive Equations Under Nonuniform Hyperbolicity
- Resource Type
- article
- Authors
- Li, Mengmeng; Wang, JinRong; O’Regan, Donal; Fečkan, Michal
- Source
- Comptes Rendus. Mathématique, Vol 358, Iss 3, Pp 341-364 (2020)
- Subject
- Mathematics
QA1-939
- Language
- English
French
- ISSN
- 1778-3569
35907509
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.