| 中立型高阶泛函微分方程周期解的存在性 |
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| 引用本文： | 王敬丰,周宗福.中立型高阶泛函微分方程周期解的存在性[J].合肥学院学报(自然科学版),2008,18(1):15-19. |
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| 作者姓名： | 王敬丰 周宗福 |
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| 作者单位： | 1. 安徽交通职业技术学院,文理科学系,合肥,230051
2. 安徽大学,数学与计算科学学院,合肥,230039 |
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| 基金项目： | 安徽省教育厅自然科学基金 |
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| 摘 要： | 通过研究一类中立型高阶泛函微分系统周期解的存在性问题，利用k-集压缩的重合度理论建立了保证其周期解存在的充分条件，从而推广了相关结果．
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| 关 键 词： | 中立型高阶泛函微分系统 周期解 k-集压缩 重合度 |
| 文章编号： | 1673-162X(2008)01-0015-05 |
| 修稿时间： | 2007年10月16 |
Existence of Periodic Solution for the Higher Order Neutral Functional Differential Equations |
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| WANG Jing-feng,ZHOU Zong-fu.Existence of Periodic Solution for the Higher Order Neutral Functional Differential Equations[J].Journal of Hefei University :Natural Sciences,2008,18(1):15-19. |
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| Authors: | WANG Jing-feng ZHOU Zong-fu |
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| Institution: | WANG Jing-feng , ZHOU Zong-fu(1 Department of Arts and Sciences, Anhui Communication Vocational and Technical College, Hefei 230051 ; 2. School of Mathematics and Computational Science, Anhui University, Hefei 230039, China) |
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| Abstract: | This paper makes research on the periodic solutions of a class of the higher order neutral functional differential equations, establishes sufficient conditions for the existence of the periodic solutions of the higher order neutral functional differential equations by applying coincidence theory of k -set contractive. It popularizes the result. |
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| Keywords: | higher order neutral functional differential equation periodic solution k -set contractive coincidence degree |
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