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Existence of an exponential periodic attractor of a class of impulsive differential equations with time-varying delays

✍ Scribed by Yuanfu Shao; Yonghui Zhou

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
268 KB
Volume
74
Category
Article
ISSN
0362-546X

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✦ Synopsis

By using the continuation theorem due to Mawhin and Gaines, some analysis techniques and the Lyapunov functional method, the sufficient conditions ensuring the existence of an exponential periodic attractor of a class of impulsive differential equations with time-varying delays are established. The results are interesting and very different from previously known results [Xia and Wong, 2009 [7]; Tan and Tan, 2009 [19]; Huang et al., 2005 [20]; Liu and Huang, 2006 [22]]. Finally, applications and an example are given to illustrate the effectiveness of the results.

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