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几类具有无穷时滞泛函微分方程正周期解的存在性 被引量:4

Existence of Positive Periodic Solutions for Several Kinds of Functional Differential Equations with Infinite Delay
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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. 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 literature[3].
作者 姚志健
出处 《生物数学学报》 CSCD 北大核心 2011年第1期73-80,共8页 Journal of Biomathematics
基金 安徽省教育厅自然科学项目(KJ2008B236)
关键词 周期解 泛函微分方程 无穷时滞 LERAY-SCHAUDER不动点定理 Periodic solution Functional differential equation Infinite delay Leray-Schauder theorem
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参考文献10

二级参考文献25

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共引文献125

同被引文献20

  • 1王克.一类具偏差变元的微分方程的周期解[J].数学学报(中文版),1994,37(3):409-413. 被引量:35
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