C-半群的超循环与混沌性  

Hypercyclic and chaotic of C-semigroup

作　　者：谢灵红[1] 顾晓慧[2] 

机构地区：[1]西南交通大学应用数学系,成都610031 [2]四川大学数学学院,成都610064

出　　处：《西南民族大学学报（自然科学版）》2003年第6期660-662,共3页Journal of Southwest Minzu University(Natural Science Edition)

摘　　要：在可分的Banach空间X上C-半群T(t)是有界的假设下,研究C-半群T(t)的超循环与混沌性,得到了C-半群T(t)是超循环的充分必要条件;且分别给出了易于判断C-半群T(t)是超循环的、混沌的充分条件.Let T(t) be a bounded C-semigroup on a separable Banach space X, we investigate hypercyclic and chaotic behaviors of C-semigroup T(t). We give necessary and sufficient conditions to the C-semigroup T(i) to be hypercyclic, and sufficent conditions to hypercyclic and chaotic of C-semigroup which is an easy judgment

关 键 词：C-半群 超循环 混沌性 BANACH空间 Cauehy问题 

分 类 号：O152.7[理学—数学]