| 一类无穷时滞泛函微分方程的周期解 |
| |
| 引用本文： | 柳建显,杨健,黄健民. 一类无穷时滞泛函微分方程的周期解[J]. 徐州师范大学学报(自然科学版), 2008, 26(2): 70-75 |
| |
| 作者姓名： | 柳建显 杨健 黄健民 |
| |
| 作者单位： | 广西师范大学,数学科学学院,广西,桂林,541004 |
| |
| 摘 要： | 通过构造算子讨论了一类无穷时滞泛函微分方程的周期解问题,利用Schauder不动点定理在新的条件下得到了其周期解的存在性及唯一性.推广和改进了已有文献中的相关结果.
|
| 关 键 词： | 泛函微分方程 无穷时滞 不动点定理 周期解 存在性 |
Periodic Solutions of a Class of Functional Differential Equations with Infinite Delay |
| |
| LIU Jian-xian,YANG Jian,HUANG Jian-min. Periodic Solutions of a Class of Functional Differential Equations with Infinite Delay[J]. Journal of Xuzhou Normal University(Natural Science Edition), 2008, 26(2): 70-75 |
| |
| Authors: | LIU Jian-xian YANG Jian HUANG Jian-min |
| |
| Affiliation: | (College of Mathematical Science,Guangxi Normal University,Guilin,Guangxi,541004,China) |
| |
| Abstract: | By means of the Schauder fixed point theorem,this paper investigates the existence of periodic solutions for a class of functional differential equations with infinite delay.A set of sufficient conditions to guarantee the existence of periodic solutions of the systems is obtained which extends and improves the related known works in the literature. |
| |
| Keywords: | functional differential equation infinite delay fixed point theorem periodic solution existence |
| 本文献已被 维普 万方数据 等数据库收录！ |
