Linearization of nonautonomous impulsive system with nonuniform exponential dichotomy
type: Item
instance of: scholarly article
title: Linearization of nonautonomous impulsive system with nonuniform exponential dichotomy
zbMATH Open document ID: 1474.34373
DOI: 10.1155/2014/860378
author: Yongfei Gao
author: Xiaoqing Yuan
author: Yonghui Xia
author: Patricia J. Y. Wong
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: This paper gives a version of Hartman-Grobman theorem for the impulsive differential equations. We assume that the linear impulsive system has a nonuniform exponential dichotomy. Under some suitable conditions, we proved that the nonlinear impulsive system is topologically conjugated to its linear system. Indeed, we do construct the topologically equivalent function (the transformation). Moreover, the method to prove the topological conjugacy is quite different from those in previous works (e.g., see Barreira and Valls, 2006).
Mathematics Subject Classification ID: 34D09
Mathematics Subject Classification ID: 34A37
Mathematics Subject Classification ID: 34D10
zbMATH DE Number: 7023212
Wikidata QID: Q59042108
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/860378
OpenAlex ID: W2123391879
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description: scientific article; zbMATH DE number 7023212