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Almost periodic solutions to dynamic equations on time scales
Authors:Hongtao Zhang  Yongkun Li
Affiliation:1. Department of Applied Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650093, People’s Republic of China;2. Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, People’s Republic of China
Abstract:In this paper, we first present a notion of almost periodic functions on time scales and study their basic properties. Then by means of Liapunov functionals, we study the existence of almost periodic solutions for an almost periodic dynamic equation on time scales.
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