| 一类具多时滞的脉冲微分方程正周期解的存在性 |
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| 引用本文： | 周桂芳,蒋威. 一类具多时滞的脉冲微分方程正周期解的存在性[J]. 合肥学院学报(自然科学版), 2008, 18(4): 13-17 |
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| 作者姓名： | 周桂芳 蒋威 |
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| 作者单位： | 安徽大学,数学科学学院,合肥230039;安徽大学,数学科学学院,合肥230039 |
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| 基金项目： | 国家自然科学基金，教育部科学技术研究重点项目，安徽大学校科研和教改项目 |
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| 摘 要： | 通过应用拓扑度的方法，给出了在一个周期环境下一类二维具多时滞的脉冲微分方程正周期解存在性的若干结论．主要利用Mawhin延拓定理和Arzela—Ascoli定理以及一些分析技巧考察了文中给定系统的正周期解的存在性．
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| 关 键 词： | 脉冲微分方程 正周期解 重合度理论 |
Positive Periodic Solutions for A Class of Impulsive Functional Differential Equations with Several Delays |
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| ZHOU Gui-fang,JIANG Wei. Positive Periodic Solutions for A Class of Impulsive Functional Differential Equations with Several Delays[J]. Journal of Hefei University(Natural Sciences Edition), 2008, 18(4): 13-17 |
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| Authors: | ZHOU Gui-fang JIANG Wei |
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| Affiliation: | (School of Mathematical Science, Anhui University, Hefei 230039, China) |
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| Abstract: | By applying the continuation theorem of coincidence degree theory, the writers establish the existence of the positive periodic solutions of a class of two-dimensional impulsive differential equations with several delays. In this paper, we mainly discuss the existence of positive solution for one system on the basis of Theorem Mawhin and Arzela-Ascoli as well as some analysis technique. |
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| Keywords: | impulsive differential equation positive periodic solutions coincidence degree |
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