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Zbl 1203.34157
Li, Yongkun; Zhang, Tianwei; Suo, Jianfeng
Existence of three positive periodic solutions for differential systems with feedback controls on time scales.
(English)
[J] Electron. J. Differ. Equ. 2010, Paper No. 118, 16 p., electronic only (2010). ISSN 1072-6691/e

Summary: 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.
MSC 2000:
*34N05
34K13 Periodic solutions of functional differential equations
47N20 Appl. of operator theory to differential and integral equations

Keywords: positive periodic solutions; feedback controls; time scales; Leggett-Williams multiple fixed point theorem

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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