Linearization of Nonautonomous Impulsive System with Nonuniform Exponential Dichotomy
| Autor: | Yongfei Gao, Yonghui Xia, Xiaoqing Yuan, P. J. Y. Wong |
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| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | Abstract and Applied Analysis, Vol 2014 (2014) |
| Druh dokumentu: | article |
| ISSN: | 1085-3375 1687-0409 |
| DOI: | 10.1155/2014/860378 |
| Popis: | 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). |
| Databáze: | Directory of Open Access Journals |
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