| 一类二阶泛函微分方程周期解的存在性 |
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| 引用本文： | 金爱云,娄光谱.一类二阶泛函微分方程周期解的存在性[J].新乡学院学报(自然科学版),2012(2):107-109. |
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| 作者姓名： | 金爱云 娄光谱 |
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| 作者单位： | 郑州航空工业管理学院数理系,河南郑州450015 |
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| 基金项目： | 河南省教育厅自然科学基金项目（2011B110030）;郑州航空工业管理学院青年基金项目（2011113002） |
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| 摘 要： | 利用k-集压缩算子的抽象连续性定理，研究了一类二阶非线性微分方程周期解的存在性，所得结果改进了已有文献的结果．
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| 关 键 词： | k-集压缩算子 周期解 泛函微分方程 |
Existence of Periodic Solutions for a Kind of Second Order Functional Differential Equations |
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| Authors: | JIN Ai-yun LOU Guang-pu |
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| Institution: | (Department of Mathematics and Physics, Zhengzhou Institute of Aeronautical Industry Management, Zhengzhou 450015, China) |
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| Abstract: | By using the abstract continuation theorem of k - set contractive operator, the existence of solutions for a kind of second order functional differential equations is studied. Some results improve the known results in literatures. |
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| Keywords: | k - set contractive operator periodic solution functional differential equation |
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