| 多时滞微分方程周期解的存在性 |
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| 引用本文： | 牛秀艳,姜小军,杨晓静,李建红,张瑞丰.多时滞微分方程周期解的存在性[J].北京工商大学学报(自然科学版),2009,27(1). |
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| 作者姓名： | 牛秀艳 姜小军 杨晓静 李建红 张瑞丰 |
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| 作者单位： | 1. 河北科技师范学院数理系,河北秦皇岛,066004
2. 北京工业大学计算机学院,北京,100022 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 通过使用Leray-Schauder不动点定理,研究了一类多时滞微分方程非负周期解存在性的充分条件,减弱了原有文献的所需条件,拓宽了结论所使用的范围,并改进了相关文献中的结论.
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| 关 键 词： | 时滞微分方程 周期解 Leray-Schauder不动点定理 |
ON EXISTENCE OF PERIODIC SOLUTION FOR A DIFFERENTIAL EQUATION WITH DELAYS |
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| NIU Xiu-yan,JIANG Xiao-jun,YANG Xiao-jing,LI Jian-hong,ZHANG Rui-feng.ON EXISTENCE OF PERIODIC SOLUTION FOR A DIFFERENTIAL EQUATION WITH DELAYS[J].Journal of Beijing Technology and Business University:Natural Science Edition,2009,27(1). |
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| Authors: | NIU Xiu-yan JIANG Xiao-jun YANG Xiao-jing LI Jian-hong ZHANG Rui-feng |
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| Institution: | 1.Department of Mathematics and Physics;Hebei Science Normal College;Qinhuangdao 066004;China;2.College of Computer Sciences;Beijing University of Technology;Beijing 100022;China |
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| Abstract: | In this paper,using leray-schauder fix point theory,the sufficient conditions for the existence of periodic solution for a differential equation with delays are established.This article abates the constraint conditions of the original literature,widens the domains of the results,and improves the known results of the related literature. |
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| Keywords: | differential equation with delays periodic solution leray-schauder fix point theory |
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