一类时滞差分系统的渐进性  

Asymptotic Behavior of Bounded Soultions for a Class of Systems of Delay Difference Equations

作　　者：肖劲松[1] 李夏云[1] 

机构地区：[1]湖南城市学院数学与计算科学系,中国益阳413000

出　　处：《湖南师范大学自然科学学报》2007年第2期26-29,共4页Journal of Natural Science of Hunan Normal University

基　　金：湖南省自然科学基金资助项目(03JJY4002)

摘　　要：利用新的数学分析技巧,引入了与时滞差分系统等价的离散动力系统,建立了离散系统的若干收敛性质,提出时滞差分系统的每个有界解渐近到常向量的充分条件.另外,通过考虑离散动力系统的同步解,也给出了文献[4]中主要结果的一个新证明.By applying new mathematical analysis techniques, an equal discrete system of delay difference equations is introduced, some asymptotic behavior of solutions for this system is obtained, which can be used to get some new sufficient conditions to ensure that every bounded solution of such a delay difference equations converges to a constant vector. Moreover, together with the synchronization solution of this discrete system,a new proof of te main results in Ref. [4] is also given.

关 键 词：时滞差分系统 渐进性 有界解 常向量 

分 类 号：O175.8[理学—数学]