Linearization of Impulsive Differential Equations with Ordinary Dichotomy
Joint Authors
Gao, Yongfei
Yuan, Xiaoqing
Xia, Yonghui
Wong, Patricia J. Y.
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-02
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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 x˙(t)=A(t)x(t)+f(t,x), t≠tk, Δx(tk)=A~(tk)x(tk)+f~(tk,x), k∈ℤ, is topologically conjugated to x˙(t)=A(t)x(t), t≠tk, Δx(tk)=A~(tk)x(tk), k∈ℤ, where Δx(tk)=x(tk+)-x(tk-), x(tk-)=x(tk), represents the jump of the solution x(t) at t=tk.
Finally, two examples are given to show the feasibility of our results.
American Psychological Association (APA)
Gao, Yongfei& Yuan, Xiaoqing& Xia, Yonghui& Wong, Patricia J. Y.. 2014. Linearization of Impulsive Differential Equations with Ordinary Dichotomy. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1033892
Modern Language Association (MLA)
Gao, Yongfei…[et al.]. Linearization of Impulsive Differential Equations with Ordinary Dichotomy. Abstract and Applied Analysis No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1033892
American Medical Association (AMA)
Gao, Yongfei& Yuan, Xiaoqing& Xia, Yonghui& Wong, Patricia J. Y.. Linearization of Impulsive Differential Equations with Ordinary Dichotomy. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1033892
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033892