Notes on the Global Attractors for Semigroup  

作　　者：Lan Xu Yuhua Shi 

机构地区：[1]Department of Mathematics, Soochow University, Suzhou, China [2]Suzhou Vocational University, Suzhou, China

出　　处：《International Journal of Modern Nonlinear Theory and Application》2013年第4期219-222,共4页现代非线性理论与应用（英文）

摘　　要：First we introduce two necessary and sufficient conditions which ensure the existence of the global attractors for semigroup. Then we recall the concept of measure of noncompactness of a set and recapitulate its basic properties. Finally, we prove that these two conditions are equivalent directly.First we introduce two necessary and sufficient conditions which ensure the existence of the global attractors for semigroup. Then we recall the concept of measure of noncompactness of a set and recapitulate its basic properties. Finally, we prove that these two conditions are equivalent directly.

关 键 词：Natural Global ATTRACTORS Measure of Noncompactness ASYMPTOTIC COMPACTNESS w-Limit Compact 

分 类 号：O1[理学—数学]