| 具无穷时滞的中立型周期微分系统周期解的存在性 |
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| 引用本文： | 方聪娜,王全义.具无穷时滞的中立型周期微分系统周期解的存在性[J].大学数学,2010,26(2). |
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| 作者姓名： | 方聪娜 王全义 |
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| 作者单位： | 1. 集美大学,理学院,福建,厦门,361021
2. 华侨大学,数学系,福建,泉州,362021 |
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| 摘 要： | 研究了一类具无穷时滞的中立型周期微分系统周期解的存在性问题.利用指数型二分性及Krasnoselskii不动点定理,建立了保证该系统的周期解的存在性的充分条件.所得结果推广了文1-7]的有关结果.
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| 关 键 词： | 中立型周期微分系统 周期解 存在性 |
The Existence of Periodic Solutions on a Neutral Periodic Differential System with Infinite Delay |
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| FANG Cong-na,WANG Quan-yi.The Existence of Periodic Solutions on a Neutral Periodic Differential System with Infinite Delay[J].College Mathematics,2010,26(2). |
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| Authors: | FANG Cong-na WANG Quan-yi |
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| Abstract: | This paper studies the problem on the existence of periodic solutions to a class of neutral periodic differential system with infinite delay.Using the exponential dichotomy and Krasnoselskii fixed point theorem,the sufficient conditions are established which guarantee the existence of periodic solutions for the system.And the corresponding results in are extended. |
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| Keywords: | neutral periodic differential system periodic solution existence |
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