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.
作者
高俊磊
罗成
GAO Junlei;LUO Cheng(School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China)
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)
关键词
拓扑线性空间
算子半群
吸引子
连通性
topological vector spaces
operator semigroup
attractors
connectivity
