| 无穷时滞泛函微分方程的正周期解 |
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| 引用本文： | 彭世国,朱思铭.无穷时滞泛函微分方程的正周期解[J].数学年刊A辑(中文版),2004(3). |
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| 作者姓名： | 彭世国 朱思铭 |
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| 作者单位： | 广东工业大学应用数学系，中山大学数学系 广州 510090，广州 510275 |
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| 基金项目： | 国家自然科学基金(No.10071097)资助的项目 |
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| 摘 要： | 利用范数形式的锥拉伸和锥压缩不动点定理讨论具有无穷时滞泛函微分方程的周期解问题,获得了正周期解的存在性定理,并给出了定理的若干应用.
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| 关 键 词： | 无穷时滞 泛函微分方程 正周期解 |
POSITIVE PERIODIC SOLUTIONS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY |
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| PENG Shiguo ZHU Siming.POSITIVE PERIODIC SOLUTIONS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY[J].Chinese Annals of Mathematics,2004(3). |
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| Authors: | PENG Shiguo ZHU Siming |
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| Institution: | PENG Shiguo ZHU Siming
Department of Applied Mathematics,Guangdong University of Technology,Guangzhou 510090,China. Department of Mathematics,Zhongshan University,Guangzhou 510275,China. |
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| Abstract: | In this paper, by utilizing a fixed point theorem on cone compression and expansion of norm type, the authors disscuss the existence of positive periodic solutions for functional differential equations with infinite delay. |
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| Keywords: | Infinite delay Functional differential equation Periodic solution |
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