渐近上半紧的非自治多值半流的弱拉回吸引子

• 作 者: 李挺 廖公夫
• 机 构: Department of Mathematics, Suzhou University, Suzhou, 215006
• 出 处: 东北数学（英文版）
• 发表日期: 2006年4期
• 关键词: weak pullback attractor asymptotically upper semicompact absorbing set

1 IntroductionrnIn this paper we study the existence of pullback attractors for multivalued nonantonomous 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.