Electron. J. Diff. Equ., Vol. 2010(2010), No. 34, pp. 1-10.

Positive periodic solutions for nonautonomous impulsive neutral functional differential systems with time-varying delays on time scales

Jinchun Dai, Yongkun Li, Tianwei Zhang

Abstract:
Using a fixed point theorem of strict-set-contraction, we prove the existence of positive periodic solutions for a class of nonautonomous impulsive neutral functional differential system with time-varying delays on time scales.

Submitted December 15, 2009. Published March 9, 2010.
Math Subject Classifications: 34K13, 34K40, 34K45.
Key Words: Periodic solution; neutral functional differential systems; time scale; strict-set-contraction

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Jinchun Dai
Department of Mathematics, Yunnan University
Kunming, Yunnan 650091, China
email: daijinchun@163.com
Yongkun Li
Department of Mathematics, Yunnan University
Kunming, Yunnan 650091, China
email: yklie@ynu.edu.cn
Tianwei Zhang
Department of Mathematics, Yunnan University
Kunming, Yunnan 650091, China
email: 1200801347@stu.ynu.edu.cn

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