| 具状态依赖时滞的泛函微分方程周期解 |
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| 引用本文： | 王全义.具状态依赖时滞的泛函微分方程周期解[J].华侨大学学报(自然科学版),2007,28(2):212-215. |
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| 作者姓名： | 王全义 |
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| 作者单位： | 华侨大学,数学系,福建,泉州,362021 |
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| 基金项目： | 福建省自然科学基金资助项目(Z0511026) |
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| 摘 要： | 研究一类具有状态依赖时滞的二阶泛函微分方程T-周期解的存在性问题,利用k-集压缩算子抽象连续性定理和一些分析技巧,建立保证该类方程存在T-周期解的充分条件.这些充分性条件十分简单,容易验证,结果推广和改进了现有文献中的有关结果.
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| 关 键 词： | 泛函微分方程 周期解 状态依赖时滞 k-集压缩算子 |
| 文章编号： | 1000-5013（2007）02-0212-04 |
| 修稿时间： | 2006-10-10 |
Periodic Solutions for Functional Differential Equations with State-Dependent Delay |
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| WANG Quan-yi.Periodic Solutions for Functional Differential Equations with State-Dependent Delay[J].Journal of Huaqiao University(Natural Science),2007,28(2):212-215. |
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| Authors: | WANG Quan-yi |
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| Institution: | Department of Mathematics, Huaqiao University, Quanzhou 362021, China |
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| Abstract: | In this paper,we study the problem on the existence of T-periodic solutions for a kind of second order functional differential equations with state-dependent delay.Some sufficient conditions for the existence of T-periodic solutions of the equations are obtained by mean of the abstract continuation theorem of k-set contractive operator and some analysis techniques.These sufficient conditions are very simply and verifiable.Our results generalize and improve the relative result of the current paper. |
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| Keywords: | functional differential equation periodic solution state-dependent delay k-set contractive operator |
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