| 具无限时滞的周期系统的持久性与正周期解 |
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| 引用本文： | 文贤章,王志成.具无限时滞的周期系统的持久性与正周期解[J].数学年刊A辑(中文版),2003(5). |
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| 作者姓名： | 文贤章 王志成 |
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| 作者单位： | 湖南师范大学数学系，湖南大学应用数学系 长沙 410081，长沙 410082 |
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| 基金项目： | 国家自然科学基金(No:10271044) |
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| 摘 要： | 本文利用比较定理,控制收敛定理和积分平均的方法,讨论一类具有无限时滞的非自治,非卷积的捕食者-食饵系统的一致持久性和正周期解。
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| 关 键 词： | 无限时滞 持久性 正周期解 |
THE PERSISTENCE AND POSITIVE PERIODIC SOLUTIONS FOR PERIODIC SYSTEMSWITH INFINITE DELAY |
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| WEN Xianzhang WANG Zhicheng.THE PERSISTENCE AND POSITIVE PERIODIC SOLUTIONS FOR PERIODIC SYSTEMSWITH INFINITE DELAY[J].Chinese Annals of Mathematics,2003(5). |
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| Authors: | WEN Xianzhang WANG Zhicheng |
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| Institution: | WEN Xianzhang WANG Zhicheng
Department of Mathematics,Hunan Normal University,Changsha 410081,China.
Department of Applied Mathematics,Hunan University,Changsha 410082,China. |
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| Abstract: | In this paper, using comparasion theorem, dominant convergence theorem and integral in mean, the authors study the uniform persistence and positive periodic solutions for noau-tonomous, nonconclution predator-prey systems with infinite delay. New and interesting results are obtained. |
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| Keywords: | Infinite delay Persistence Positive periodic solutions |
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