| 一类概率测度值Mckean-Vlasov方程 |
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| 引用本文： | 刘圣勇,秦述平.一类概率测度值Mckean-Vlasov方程[J].海南师范大学学报(自然科学版),2005,18(3):197-203. |
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| 作者姓名： | 刘圣勇 秦述平 |
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| 作者单位： | 湖南师范大学,数学与计算机科学学院,湖南,长沙,410081 |
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| 摘 要： | 用概率方法证明了一类概率测度值Mckean-Vlasov方程的存在唯一性, 该类方程对Fleming-Viot过程(3类基本的过程之一)是有意义的.
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| 关 键 词： | Mckean-Vlasov方程 Fleming-Viot过程 |
| 文章编号： | 1671-8747(2005)03-0002-07 |
| 修稿时间： | 2004年4月16日 |
A class of Mckean-Vlasov equations in the space of probabilities on a compact space |
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| LIU Sheng-yong,QIN Shu-ping.A class of Mckean-Vlasov equations in the space of probabilities on a compact space[J].Journal of Hainan Normal University:Natural Science,2005,18(3):197-203. |
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| Authors: | LIU Sheng-yong QIN Shu-ping |
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| Abstract: | The existence and uniqueness for a class of Mckean-Vlasov equations in the space of probabilities on a compact space was obtained by a probabilistic approach in this paper.The equations are of interest for Fleming-Viot process,one of the three fundamental type superprocesses. |
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| Keywords: | Mckean-vlasov equation Fleming-Viot process |
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