Almost periodic solutions to dynamic equations on time scales | ||||
Journal of the Egyptian Mathematical Society | ||||
Volume 21, Issue 1, April 2013, Page 3-10 PDF (347.52 K) | ||||
Document Type: Original Article | ||||
DOI: 10.1016/j.joems.2012.10.004 | ||||
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Authors | ||||
Hongtao Zhang1, 2; Yongkun Li2 | ||||
1Department of Applied Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650093, People’s Republic of China | ||||
2Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, People’s Republic of China | ||||
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. | ||||
Keywords | ||||
Almost periodic functions; Almost periodic solutions; Time scales; Dynamic equations; Liapunov functionals | ||||
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