| 几类具有无穷时滞泛函微分方程正周期解的存在性 |
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| 引用本文： | 姚志健.几类具有无穷时滞泛函微分方程正周期解的存在性[J].生物数学学报,2011(1):73-80. |
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| 作者姓名： | 姚志健 |
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| 作者单位： | 安徽建筑工业学院数理系,安徽合肥230601 |
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| 基金项目： | 安徽省教育厅自然科学项目（KJ2008B236） |
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| 摘 要： | 运用Leray-Schauder不动点定理研究具有无穷时滞的泛函微分方程的正周期解的存在性问题,获得了存在正周期解的充分条件,改进了文献3]中的结果.
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| 关 键 词： | 周期解 泛函微分方程 无穷时滞 Leray-Schauder不动点定理 |
Existence of Positive Periodic Solutions for Several Kinds of Functional Differential Equations with Infinite Delay |
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| YAO Zhi-jian.Existence of Positive Periodic Solutions for Several Kinds of Functional Differential Equations with Infinite Delay[J].Journal of Biomathematics,2011(1):73-80. |
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| Authors: | YAO Zhi-jian |
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| Institution: | YAO Zhi-jian (Department of Mathematics and Physics,Anhui Institute of Architecture and Industry,Hefei,Anhui 230601 China) |
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| Abstract: | In this paper,we investigate the existence of positive periodic solutions for functional differential equations with infinite delay by using Leray-Schauder theorem.Some sufficient conditions for the existence of positive periodic solutions are obtained,which improve the results of literature3]. |
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| Keywords: | Periodic solution Functional differential equation Infinite delay Leray-Schauder theorem |
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