| EXISTENCE AND UNIQUENESS OF SOLUTIONS TO STOCHASTIC FOREST EVOLUTION SYSTEM UNDER NON-LIPSCHITZ CONDITION |
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| 作者姓名： | Ren Yong~ |
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| 作者单位： | Ren Yong~(1，2) Qin Yan~2 Xia Ningmao~2 (1.Dept.of Math.，Anhui Normal University，Wuhu 241000，Anhui;2.Dept.of Math.，East China University of Sci.and Tech.，Shanghai 200237) |
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| 基金项目： | Project supported by the Key Science and Technology Project of Ministry of Education (No.207407)，The Research Project for Younger Teacher of Anhui Normal University (No.2006xqn49)，The Special Project Grants of Anhui Normal University (2006xzx08)，The Project Grants for Ph.D of Anhui Normal University，The Teaching Research Project of Anhui Normal University. |
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| 摘 要： | In this paper,we obtain some results on the existence and uniqueness of solutions to stochastic forest evolution system under non-Lipschitz condition, with Lipschitz condition being considered as a special case.We develop our theory by investigating convergence of sequence of stochastic process defined by successive approximations in the general functional setting.The major tools we used are Bihari inequality and Davis inequality.
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| 关 键 词： | 随机森林系统 解 存在性 唯一性 偏微分方程 |
EXISTENCE AND UNIQUENESS OF SOLUTIONS TO STOCHASTIC FOREST EVOLUTION SYSTEM UNDER NON-LIPSCHITZ CONDITION |
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| Ren Yong.EXISTENCE AND UNIQUENESS OF SOLUTIONS TO STOCHASTIC FOREST EVOLUTION SYSTEM UNDER NON-LIPSCHITZ CONDITION[J].微分方程年刊(英文版),2007,23(3):319-331. |
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| Authors: | Ren Yong Qin Yan Xia Ningmao |
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| Institution: | [1]Dept. of Math., Anhui Normal University, Wuhu 241000, Anhui [2]Dept. of Math., East China University of Sci. and Tech., Shanghai 200237 |
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| Abstract: | In this paper,we obtain some results on the existence and uniqueness of solutions to stochastic forest evolution system under non-Lipschitz condition, with Lipschitz condition being considered as a special case.We develop our theory by investigating convergence of sequence of stochastic process defined by successive approximations in the general functional setting.The major tools we used are Bihari inequality and Davis inequality. |
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| Keywords: | existence uniqueness stochastic forest system |
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