文章基本信息

标题：Almost periodic solution for a delayed Lotka-Volterra system on time scales
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作者：Yongzhi Liao ; Lijun Xu
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2014
卷号：2014
期号：1
页码：96
DOI：10.1186/1687-1847-2014-96
语种：English
出版社：Hindawi Publishing Corporation
摘要：This paper is concerned with a delayed Lotka-Volterra system on time scales. By using the theory of exponential dichotomy on time scales and fixed point theory based on monotone operator, some simple conditions are obtained for the existence and uniqueness of positive almost periodic solution of the system. Further, by means of the theory of calculus on time scales and Lyapunov functional, the global attractivity of the almost periodic solution is also investigated. The main results in this paper improve and extend the previously known results. Finally, some examples are given to illustrate the feasibility and effectiveness of the main result. MSC:34K14, 34K20, 34N05, 92D25.
关键词：almost periodic solution ; Lotka-Volterra ; monotone operator ; time scales