具分段连续时滞的微分系统的周期解与稳定性  

The Existence,Uniqueness and Stability of Periodic Solution to a Class of Differential Systems with Piecewise Continuous Delays

作　　者：刘可为[1] 蒋威[2] 

机构地区：[1]合肥工业大学理学院,合肥230009 [2]安徽大学数学与计算科学学院,合肥230039

出　　处：《大学数学》2007年第4期113-119,共7页College Mathematics

基　　金：国家自然科学基金项目(10241005);教育部重点项目(205068);安徽大学创新团队项目

摘　　要：讨论了一类具分段连续时滞的高维微分系统的周期解的存在唯一性和全局渐近稳定性,得到了新的实用的判别条件,推广或改进了文[2-4,6,9]的相关结果..The existence, uniqueness and globally asymptotic stability of periodic solutions for a class of higher dimensional differential systems with piecewise continuous delays are discussed. Some effective results are obtained. Meanwhile, the results in this paper improve and extend the corresponding ones of papers [2-4,6,9].

关 键 词：分段连续时滞 微分系统 周期解 全局渐近稳定性 

分 类 号：O175.14[理学—数学]