| 用重合度方法解一阶泛函微分方程周期解的存在性 |
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| 引用本文： | 吕金凤,牛秀艳,姜小军,郭亚君. 用重合度方法解一阶泛函微分方程周期解的存在性[J]. 西南民族学院学报(自然科学版), 2009, 35(1): 23-25 |
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| 作者姓名： | 吕金凤 牛秀艳 姜小军 郭亚君 |
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| 作者单位： | [1]河北科技师范学院,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,河北科技师范学院硕士科研起动基金 |
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| 摘 要： | 本文通过使用重合度理论研究了一阶泛函微分方程x′（f）=f（t,x（f）,xt）的ω周期解存在性问题的充分条件,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 拓扑度 |
Mawhin''s coincidence degree method for existence of periodic solution of first-order functional differential equations |
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| LU Jin-feng,NIU Xiu-yan,JIANG Xiao-jun,GUO Ya-jun. Mawhin''s coincidence degree method for existence of periodic solution of first-order functional differential equations[J]. Journal of Southwest Nationalities College(Natural Science Edition), 2009, 35(1): 23-25 |
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| Authors: | LU Jin-feng NIU Xiu-yan JIANG Xiao-jun GUO Ya-jun |
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| Affiliation: | LU Jin-feng, NIU Xiu-yan, JIANG Xiao-jun, GUOYa-jun (1. Hebei Normal University of Science ＆ Technology, QinHuangdao 066004, P.R.C.; 2. School of Computer Sciences, Beijing University of Technology, Beijing 100022, P.R.C.) |
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| Abstract: | In this paper, using coincidence degree theory, we study the sufficient condition for the existence of periodic solution for first-order functional differential Equation x′（t） = f（t, x（t）, x1） and improve the known result of the related literature. |
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| Keywords: | differential equation periodic solution topological degree |
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