Linearization of Impulsive Differential Equations with Ordinary Dichotomy

Yongfei Gao, Xiaoqing Yuan, Yonghui Xia and P. J. Y. Wong

Abstract and Applied Analysis, 2014, vol. 2014, 1-11

Abstract:

This paper presents a linearization theorem for the impulsive differential equations when the linear system has ordinary dichotomy. We prove that when the linear impulsive system has ordinary dichotomy, the nonlinear system , , , , is topologically conjugated to , , , , where , , represents the jump of the solution at . Finally, two examples are given to show the feasibility of our results.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:632109

DOI: 10.1155/2014/632109

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