| 泛函微分方程周期边值问题的正解 |
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| 引用本文： | 彭世国,朱思铭.泛函微分方程周期边值问题的正解[J].数学年刊A辑(中文版),2005(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．10371135)资助的项目． |
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| 摘 要： | 讨论一阶泛函微分方程的周期边值问题,利用锥上的不动点定理给出了正解的存在性和多重性的简捷的判别条件.
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| 关 键 词： | 正解 泛函微分方程 周期边值问题 不动点定理 锥 |
POSITIVE SOLUTIONS OF PERIODIC BOUNDARY VALUE PROBLEM FOR FUNCTIONAL DIFFERENTIAL EQUATIONS |
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| PENG Shiguo ZHU Siming.POSITIVE SOLUTIONS OF PERIODIC BOUNDARY VALUE PROBLEM FOR FUNCTIONAL DIFFERENTIAL EQUATIONS[J].Chinese Annals of Mathematics,2005(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,Sun Yat-Sen University,Guangzhou 510275,China. |
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| Abstract: | This paper discusses the periodic boundary value problem for first order functional differential equations. By utilizing a fixed point Theorem on cone, some existence and multiplicity results of positive solutions are derived. |
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| Keywords: | Positive solution Functional differential equations Periodic boundary value problem Fixed point Theorem Cone |
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