Center manifolds for non-instantaneous impulsive equations under nonuniform hyperbolicity
type: Item
instance of: scholarly article
title: Center manifolds for non-instantaneous impulsive equations under nonuniform hyperbolicity
zbMATH Open document ID: 1466.34041
author: Mengmeng Li
author: Donal O'Regan
author: Michal Fečkan
author: Jinrong Wang
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2020-08-03T00:00:00Z
review text: The paper studies qualitative properties of a class of nonautonomous differential equations with non-instantaneous impulses under sufficiently small perturbations of the linear homogeneous part. In particular, conditions for the existence of center manifolds for this class of equations are derived under the assumption that the linear homogeneous part possesses a nonuniform exponential trichotomy. An example of a linear homogeneous differential equation with non-instantaneous impulses that is nonuniformly exponentially dichotomous is provided. The \(C^1\) smoothness of center manifolds outside the jumping time moments has been also shown.
Mathematics Subject Classification ID: 34C45
Mathematics Subject Classification ID: 34A37
Mathematics Subject Classification ID: 37C60
Mathematics Subject Classification ID: 34D09
Mathematics Subject Classification ID: 34D10
zbMATH DE Number: 7226792
zbMATH Keywords: impulsive differential equations
zbMATH Keywords: non-instantaneous impulses
zbMATH Keywords: center manifold
zbMATH Keywords: nonuniform exponential trichotomy
reviewed by: P. V. Feketa
MaRDI profile type: Publication
full work available at URL: crmath.47
OpenAlex ID: W3041524880
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DOI: 10.5802/CRMATH.47
description: scientific article; zbMATH DE number 7226792