Center Manifolds for Non-instantaneous Impulsive Equations Under Nonuniform Hyperbolicity

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...

Full description

Bibliographic Details
Main Authors: Li, Mengmeng, Wang, JinRong, O’Regan, Donal, Fečkan, Michal
Format: Article
Language:English
Published: Académie des sciences 2020-07-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.47/

Similar Items