Almost periodic solutions to dynamic equations on time scales

Document Type : Original Article

Authors

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

http://dx.doi.org/10.1016/j.joems.2012.10.004

Abstract

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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