| 具有无限时滞的中立型周期微分系统的周期解 |
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| 引用本文： | 胡永珍 斯力更. 具有无限时滞的中立型周期微分系统的周期解[J]. 内蒙古师范大学学报(自然科学版), 2005, 34(4): 398-403 |
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| 作者姓名： | 胡永珍 斯力更 |
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| 作者单位： | 北京第二外国语学院,国际经济贸易学院,北京,100024;内蒙古师范大学,数学科学学院,内蒙古,呼和浩特,010022 |
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| 基金项目： | 国家自然科学基金资助项目（10461006） |
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| 摘 要： | 考虑一类中立型周期微分系统的丁-周期解的存在性问题，利用Krasnoselskii不动点定理和矩阵测度的性质，建立了保证系统存在T-周期解的充分条件，推广和改进了已有的相关结果．
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| 关 键 词： | 周期微分系统 中立型 无限时滞 周期解 |
| 文章编号： | 1001-8735（2005）04-0398-06 |
| 收稿时间： | 2005-05-25 |
| 修稿时间： | 2005-05-25 |
Periodic Solutions of Neutral Periodic Differential System With Infinite Delay |
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| HU Yong-zhen, SI Li-geng. Periodic Solutions of Neutral Periodic Differential System With Infinite Delay[J]. Journal of Inner Mongolia Normal University(Natural Science Edition), 2005, 34(4): 398-403 |
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| Authors: | HU Yong-zhen SI Li-geng |
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| Affiliation: | 1. The School of International Economics and Trade , Beij ing International Studies University , Beij ing 100024 , China; 2. College of Mathematics Science , Inner Mongolia Normal University, Huhhot 010022, China |
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| Abstract: | The existence of periodic solutions of neutral periodic differential system with infinite delay are considered. Using Krasnoselskii fixed point theorem and the measure of matrix,some sufficient conditions to guarantee the existence of T- periodic solution for the system are established. The related results are extended and improved. |
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| Keywords: | periodic differential system neutral infinite delay periodic solution |
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