摘要
引入具有渐近紧性算子半群的概念．给出这一类半群存在唯一非空极小闭全局吸引子和极小闭全局Ｂ－吸引子的若干充分条件，并且研究这些吸引子的性质．此类算子半群强于Ｋ类算子半群而弱于ＡＫ类算子半群，因此我们推广了〔１〕定理２．１～２．３．
The concept of the operator semigroups having asymptotic compactness is introduced,and several sufficient conditions for the existence of the unique minimal closed global attractors (B attractors) of this class of semigroups are established,and the properties of such attractors is investigated.This class of semigroups is weaker than the semigroups of class K and stronger than the semigroups of class AK,so these results extend the theorems 2.1￣2.3 in 1 .
出处
《内蒙古大学学报（自然科学版）》
CAS
CSCD
1997年第1期8-12,共5页
Journal of Inner Mongolia University：Natural Science Edition
基金
国家自然科学基金
关键词
渐近紧性
半群
不变集
吸引子
算子半群
semigroup having asymptotic compactness ω limit set invariant set attractor
