关于拓扑线性空间上几类算子半群的极小闭全局吸引子存在的充分条件  

Sufficient Conditions for the Topological Vector Spaces Categories Operator Semigroups Minimal Closed Set of Global Attractor Exists

作　　者：高俊磊[1] 罗成[1] GAO Junlei;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2期122-129,共8页Acta Analysis Functionalis Applicata

基　　金：国家自然科学基金(11561049);内蒙古自治区研究生科研创新资助项目(11200-12110201)

摘　　要：在分离拓扑线性空间上得出了具有有限全局吸收集的B-A类算子半群全局吸引子的存在性以及它们与σ-极限集的关系.此外,还讨论了一类极小闭全局B-吸引子的连通性.In this paper, we derive the existence of the global attractors of two class operator semigroups in separate topological vector spaces. One is the operator semigroups of B-AH class with finite elements global absorb sets and the other is the operator semigroups of AH class and B-AH class with the interior of a global absorb sets. Furthermore, we derive the relationship of the global attractors and σ-limit set and the connectedness of the minimal closed B-global attractors.

关 键 词：拓扑线性空间 算子半群 吸引子 连通性 

分 类 号：O189.11[理学—数学]