| 具多时滞和离散时间非自治互惠系统的正周期解 |
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| 引用本文： | 郭微.具多时滞和离散时间非自治互惠系统的正周期解[J].吉林大学学报(理学版),2013,51(1):64-68. |
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| 作者姓名： | 郭微 |
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| 作者单位： | 北华大学 数学学院, 吉林 吉林 132013 |
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| 基金项目： | 国家自然科学基金(批准号:10426108) |
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| 摘 要： | 利用延拓定理, 考虑具有多时滞和离散时间的非自治互惠系统正周期解的存在性. 先用分析技巧得到一个有界开集, 再由重合度理论得到系统至少存在一个周期正解的充分条件. 结果表明, 具有多时滞和离散时间的非自治互惠系统会产生生物性周期振荡现象, 并且时滞是无害的.
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| 关 键 词： | 互惠系统 多时滞 正周期解 重合度理论 |
| 收稿时间： | 2012-04-19 |
Positive Periodic Solution of a Discrete Time Nonautonomous Cooperative System with Several Delays |
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| GUO Wei.Positive Periodic Solution of a Discrete Time Nonautonomous Cooperative System with Several Delays[J].Journal of Jilin University: Sci Ed,2013,51(1):64-68. |
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| Authors: | GUO Wei |
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| Institution: | College of Mathematics, Beihua University, Jilin 132013, Jilin Province, China |
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| Abstract: | We studied the existence of positive periodic solutions for a nonautonomous cooperative system with discrete time and several de
lays by means of the continuation theorem based on coincidence degree theory. One bounded open set was obtained by virtue of analytic technique. With the help of the coincidence degree theory, a set of sufficient conditions for this system to have at least one positive periodic solution were obtained. The research resultreveals the nonautonomous cooperative system with discrete time and several delays will produce periodic oscillation of biological nature, and the time delay is harmless. |
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| Keywords: | cooperative system several delays positive periodic solution coincidence degree theory |
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