Random attractors for asymptotically upper semicompact multivalue random semiflows  

作　　者：李挺 

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

出　　处：《Applied Mathematics and Mechanics(English Edition)》2007年第11期1527-1534,共8页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (No.10571130)

摘　　要：The present paper studied the dynamics of some multivalued random semiflow. The corresponding concept of random attractor for this case was introduced to study asymptotic behavior. The existence of random attractor of multivalued random semiflow was proved under the assumption of pullback asymptotically upper semicompact, and this random attractor is random compact and invariant. Furthermore, if the system has ergodicity, then this random attractor is the limit set of a deterministic bounded set.The present paper studied the dynamics of some multivalued random semiflow. The corresponding concept of random attractor for this case was introduced to study asymptotic behavior. The existence of random attractor of multivalued random semiflow was proved under the assumption of pullback asymptotically upper semicompact, and this random attractor is random compact and invariant. Furthermore, if the system has ergodicity, then this random attractor is the limit set of a deterministic bounded set.

关 键 词：random attractor asymptotically upper semicompact absorbing set 

分 类 号：O175[理学—数学]