Open Access
2014 Linearization of Nonautonomous Impulsive System with Nonuniform Exponential Dichotomy
Yongfei Gao, Yonghui Xia, Xiaoqing Yuan, P. J. Y. Wong
Abstr. Appl. Anal. 2014: 1-7 (2014). DOI: 10.1155/2014/860378


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).


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Yongfei Gao. Yonghui Xia. Xiaoqing Yuan. P. J. Y. Wong. "Linearization of Nonautonomous Impulsive System with Nonuniform Exponential Dichotomy." Abstr. Appl. Anal. 2014 1 - 7, 2014.


Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07023212
MathSciNet: MR3193554
Digital Object Identifier: 10.1155/2014/860378

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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