一类无穷时滞微分系统的周期解和全局吸引性  

The periodic solutions and global attractivity of a class of infinite delay differential equation

作　　者：柳建显[1] 杨健[1] 徐明[1] 

机构地区：[1]广西师范大学数学科学学院,广西桂林541004

出　　处：《长春大学学报》2008年第2期14-19,共6页Journal of Changchun University

摘　　要：考虑了具有无穷时滞微分系统的周期解,利用重合度理论和Lyapunow泛函方法讨论了上述系统周期解的存在性和全局吸引性的充分条件,得到了新的结果。In this paper, periodic solutions of infinite delay differential equations are considered. By using the coincidence degree theory and constructing suitable Lyapunow function, some sufficient conditions which guarantee the existence and global attractivity of periodic sulution of above system are obtained.

关 键 词：无限时滞 重合度 周期解 全局吸引性 

分 类 号：O175.14[理学—数学]