Electron. J. Diff. Equ., Vol. 2010(2010), No. 118, pp. 1-16.

Existence of three positive periodic solutions for differential systems with feedback controls on time scales

Yongkun Li, Tianwei Zhang, Jianfeng Suo

Abstract:
Using the Leggett-Williams multiple fixed point theorem, we establish criteria for the existence of three positive periodic solutions of a class of differential systems with feedback controls on time scales.

Submitted March 25, 2010. Published August 20, 2010.
Math Subject Classifications: 34K13.
Key Words: Positive periodic solutions; feedback controls; time scales; Leggett-Williams multiple fixed point theorem.

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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
Jianfeng Suo
Department of Mathematics, Yunnan University
Kunming, Yunnan 650091, China
email: jfsuo@ynu.edu.cn

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