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Linearization of Impulsive Differential Equations with Ordinary Dichotomy

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  • Yongfei Gao
  • Xiaoqing Yuan
  • Yonghui Xia
  • P. J. Y. Wong

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.

Suggested Citation

  • Yongfei Gao & Xiaoqing Yuan & Yonghui Xia & P. J. Y. Wong, 2014. "Linearization of Impulsive Differential Equations with Ordinary Dichotomy," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-11, March.
    • Handle: RePEc:hin:jnlaaa:632109
    DOI: 10.1155/2014/632109
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