Linearization of Nonautonomous Impulsive System with Nonuniform Exponential Dichotomy
Joint Authors
Xia, Yong-Hui
Gao, Yongfei
Yuan, Xiaoqing
Wong, Patricia J. Y.
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-30
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
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).
American Psychological Association (APA)
Gao, Yongfei& Xia, Yong-Hui& Yuan, Xiaoqing& Wong, Patricia J. Y.. 2014. Linearization of Nonautonomous Impulsive System with Nonuniform Exponential Dichotomy. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1034055
Modern Language Association (MLA)
Gao, Yongfei…[et al.]. Linearization of Nonautonomous Impulsive System with Nonuniform Exponential Dichotomy. Abstract and Applied Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1034055
American Medical Association (AMA)
Gao, Yongfei& Xia, Yong-Hui& Yuan, Xiaoqing& Wong, Patricia J. Y.. Linearization of Nonautonomous Impulsive System with Nonuniform Exponential Dichotomy. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1034055
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1034055