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has been cited by the following article:
TITLE: Notes on the Global Attractors for Semigroup
AUTHORS: Lan Xu, Yuhua Shi
KEYWORDS: Natural Global Attractors; Measure of Noncompactness; Asymptotic Compactness; w-Limit Compact
JOURNAL NAME: International Journal of Modern Nonlinear Theory and Application, Vol.2 No.4, December 2, 2013
ABSTRACT: 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.