[1]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.[doi:10.3969/j.issn.1000-5013.2007.02.026]
　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.[doi:10.3969/j.issn.1000-5013.2007.02.026]
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具状态依赖时滞的泛函微分方程周期解()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第28卷
期数:
2007年第2期
页码:
212-215
栏目:
出版日期:
2007-04-20

文章信息/Info

Title:
Periodic Solutions for Functional Differential Equations with State-Dependent Delay
文章编号:
1000-5013(2007)02-0212-04
作者:
王全义
华侨大学数学系 福建泉州362021
Author(s):
WANG Quan-yi
Department of Mathematics, Huaqiao University, Quanzhou 362021, China
关键词:
泛函微分方程;  周期解;  状态依赖时滞;  k-集压缩算子
Keywords:
functional differential equation;  periodic solution;  state-dependent delay;  k-set contractive operator
分类号:
O175
DOI:
10.3969/j.issn.1000-5013.2007.02.026
文献标志码:
A
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.
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.

参考文献/References:

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相似文献/References:

[1]王全义.一类周期微分系统的同期解[J].华侨大学学报(自然科学版),1993,14(1):12.[doi:10.11830/ISSN.1000-5013.1993.01.0012]
　Wang Quanyi.Periodic Solutions for a Class of Periodic Differential Systems[J].Journal of Huaqiao University(Natural Science),1993,14(2):12.[doi:10.11830/ISSN.1000-5013.1993.01.0012]
[2]王全义.纯量Volterra积分微分方程的周期解[J].华侨大学学报(自然科学版),1994,15(2):127.[doi:10.11830/ISSN.1000-5013.1994.02.0127]
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备注/Memo

备注/Memo:
福建省自然科学基金资助项目(Z0511026)
更新日期/Last Update: 2014-03-23