拓扑空间中基本K类算子半群的全局吸引子  

Global Attractors of the Operator Semigroups of Basic Class K in Topological Space

作　　者：斯琴 罗成[1] SI Qin;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：《内蒙古大学学报（自然科学版）》2019年第1期1-5,共5页Journal of Inner Mongolia University：Natural Science Edition

基　　金：国家自然科学基金项目(11561049);国家自然科学基金(71661025;71261017)

摘　　要：在Hausdorff拓扑空间中采用夏道行关于笛卡尔定向集的思想方法和网收敛的概念定义了σ-极限集.并用基本有界集替代距离空间中的有界集定义了基本K类算子半群和全局S-吸引子,进而得到了一类全局吸引子存在的条件和连通性.In Hausdorff topological space,the definition ofσ-the limit set is given based on the idea of Cartesian directed set which defined by Mr.Xia Daoxing and the concept of net convergence.The operator semigroups of basic class Kand global S-attractor are defined by the basically bounded set instead of bounded set in distance space.Therefore,the existence conditions of the connectivity of global attractors and global attractors are proposed.

关 键 词：Hausdorff拓扑空间 极限集 吸引子 

分 类 号：O152.7[理学—数学]