Linearization of Nonautonomous Impulsive System with Nonuniform Exponential Dichotomy. (30th March 2014)

• Record Type: Journal Article
• Authors: Gao, Yongfei; Xia, Yonghui; Yuan, Xiaoqing; Wong, P. J. Y.
• Other Names: Song Yongli Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-03-30
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/860378
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : 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).