| 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]. 北京轻工业学院学报, 2009, 0(1): 66-68 |
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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（10471153）. |
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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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| Affiliation: | NIU Xiu-yan, JIANG Xiao-jun, YANG Xiao-jing, LI Jian-hong, ZHANG Rui-feng (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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