| 多值半流的吸引子在随机扰动下的上半连续性 |
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| 引用本文： | 李挺,刘曾荣.多值半流的吸引子在随机扰动下的上半连续性[J].上海大学学报(英文版),2006,10(4):288-292. |
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| 作者姓名： | 李挺 刘曾荣 |
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| 作者单位： | 1. 苏州大学
2. 上海大学 |
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| 基金项目： | Project supported by National Natural Science Foundation ofChina (Grant No .10571130) |
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| 摘 要： | 1 Introduction The understanding of the asymptotic behavior ofsemi-flows is one of the most i mportant problems ofmodern mathematical physics . One way to treat thisproblemfor a systemhaving some dissipativity proper-ties is to analyze the existence and structure of its glo-bal attractor , whichin the autonomous case ,is anin-variant compact set which attracts all the trajectoriesof the system,uniformly on bounded sets . However ,non-autonomous systems and randomsystems are alsoof great i mpor…
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| 关 键 词： | 随机吸引子 半连续性 吸收集 随机扰动 |
| 文章编号： | 1007-6417（2006）04-0288-05 |
| 收稿时间： | 2005-10-11 |
| 修稿时间： | 2005-12-19 |
Upper semi-continuity of attractors for multivalued semi-flow under random perturbation |
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| Ting Li,Zeng-rong Liu.Upper semi-continuity of attractors for multivalued semi-flow under random perturbation[J].Journal of Shanghai University(English Edition),2006,10(4):288-292. |
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| Authors: | Ting Li Zeng-rong Liu |
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| Institution: | (1) Department of Mathematics, Suzhou University, 215006 Suzhou, P.R. China;(2) Department of Mathematics, College of Sciences, Shanghai University, 200444 Shanghai, P.R. China |
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| Abstract: | In this paper the upper semi-continuity of global attractors for multivalued semi-flows under random perturbation was studied. First, the existence of random attractors for multivalued random semi-flows was considered, then it was proved that the global attractors for multivalue semi-flows are the upper semi-continuity under random perturbation. This result can be used in the numerical approximation of multivalued semi-flows and non-autonomous perturbation of multivalued semi-flows. |
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| Keywords: | random attractor upper semi-continuity absorbing set |
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