高阶时滞微分方程周期解的存在性  

The Existence of Periodic Solutions for High-order Differential Equations with Delays

作　　者：戴娟[1] 周宗福[1] 

机构地区：[1]安徽大学数学科学学院,合肥230039

出　　处：《合肥学院学报（自然科学版）》2009年第2期1-5,14,共6页Journal of Hefei University :Natural Sciences

基　　金：国家自然科学基金项目(10771001);教育部科学技术研究重点项目(205068);安徽人才队伍建设项目资助

摘　　要：通过应用拓扑度的方法给出了一类高阶时滞微分方程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周期解的存在性,从而推广了关于高阶时滞微分方程周期解的相关结果.By applying method of topology degree theory, some conclusions have been drawn on the existence of the periodic solution for a class of high-order differential equations with delays. The existence of periodic solution for the related system was discussed on the basis of the continuation theorem of Mawhin and the theorem of Arzela-Ascoli as well as some analysis techniques.

关 键 词：高阶时滞微分方程 周期解 重合度理论 

分 类 号：O175.4[理学—数学]