一致空间上算子半群的吸引子  

Attractor for Operator Semigroups of Uniform Spaces

作　　者：班利琴 罗成[1] BAN Liqin;LUO Cheng(School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China)

机构地区：[1]内蒙古大学数学科学学院,呼和浩特010021

出　　处：《应用泛函分析学报》2018年第4期361-368,共8页Acta Analysis Functionalis Applicata

基　　金：国家自然科学基金(11561049)

摘　　要：在分离一致空间上给出了算子半群{V_t}的吸引子的相关定义,讨论了算子半群的σ-极限集与轨道之间的关系,极小闭全局吸引子和极小闭全局B-吸引子的关系及其存在的充分条件.给出了在分离一致空间上集合的σ-极限集是吸引自身的非空不变极小紧集的充分条件.The definition of the attractor for operator semigroup {Vt} is given in the separation uniform spaces. The relation between σ-limit set and orbit of operators semigroup is discussed. And the sufficient condition for its existence and its relationship of minimum closed global attractor and minimum closed global B-attractor is debated.We give the sufficient condition that the σ-limit set that is a non-empty, minimum and compact set that attracts its own in the separation uniform spaces.

关 键 词：一致空间 算子半群 吸引子 

分 类 号：O177.3[理学—数学]