Weak Pullback Attractors for Asymptotically Upper Semicompact Nonautonomous Multivalued Semiflow  

Weak Pullback Attractors for Asymptotically Upper Semicompact Nonautonomous Multivalued Semiflow

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作  者:李挺 廖公夫 

机构地区:[1]Department of Mathematics, Suzhou University, Suzhou, 215006 [2]不详

出  处:《Northeastern Mathematical Journal》2006年第4期379-382,共4页东北数学(英文版)

基  金:Partially supported by NSFC(10571130)of China.

摘  要:1 IntroductionIn this paper we study the existence of pullback attractors for multivalued nonautonomous and multivalued random semiflow. In [1] and [2], the authors have proved the existence of pullback attractors of multivalued nonautonomous semiflow (random semiflow) under the assumption of the existence of compact absorbing set. In [3], the authors have proved the existence of pullback attractors of multivalued nonautonomous semiflow and random semiflow under the assumptions of uniformly pullback asymptotically upper semicompact and closed graph. In [4], the authors consider the existence of pullback attractor of singlevalued nonautonomous semiflow and random semiflow under the assumption of pullback asymptotic compactness. Instead of these assumptions, we consider multivalued nonautonomous semiflow and multivalued random semiflow with weak pullback asymptotic upper semi-compactness and prove the existence of pullback attractors.1 IntroductionIn this paper we study the existence of pullback attractors for multivalued nonautonomous and multivalued random semiflow. In [1] and [2], the authors have proved the existence of pullback attractors of multivalued nonautonomous semiflow (random semiflow) under the assumption of the existence of compact absorbing set. In [3], the authors have proved the existence of pullback attractors of multivalued nonautonomous semiflow and random semiflow under the assumptions of uniformly pullback asymptotically upper semicompact and closed graph. In [4], the authors consider the existence of pullback attractor of singlevalued nonautonomous semiflow and random semiflow under the assumption of pullback asymptotic compactness. Instead of these assumptions, we consider multivalued nonautonomous semiflow and multivalued random semiflow with weak pullback asymptotic upper semi-compactness and prove the existence of pullback attractors.

关 键 词:weak pullback attractor asymptotically upper semicompact absorbing set 

分 类 号:O193[理学—数学]

 

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