| Existence and Uniqueness of Solutions to Random Impulsive Differential Systems |
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| 引用本文： | Shu-jin Wu Xiao-lin Guo Song-qing Lin. Existence and Uniqueness of Solutions to Random Impulsive Differential Systems[J]. 应用数学学报(英文版), 2006, 22(4): 627-632. DOI: 10.1007/s10255-006-0336-1 |
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| 作者姓名： | Shu-jin Wu Xiao-lin Guo Song-qing Lin |
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| 作者单位： | [1]Department of Statistics, East China Normal University, Shanghai 200062, China [2]Faculty of Information Technology, Aihui University of Finance and Trade, Bengbu 233041, China |
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| 基金项目： | Supported by the National Natural Science Foundation of China （No.10371074） and ShuGuang Plan of Shanghai City （No.04SG27）. |
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| 摘 要： | The existence and uniqueness in mean square of solutions to certain random impulsive differentialsystems is discussed in this paper.Cauchy-Schwarz inequality,Lipschtiz condition and techniques in stochasticanalysis are employed in achieve the desired results.
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| 关 键 词： | 随机脉冲微分系统 存在性 唯一性 有界性 |
| 收稿时间： | 2004-10-25 |
| 修稿时间： | 2004-10-25 |
Existence and Uniqueness of Solutions to Random Impulsive Differential Systems |
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| Shu-jin Wu,Xiao-lin Guo,Song-qing Lin. Existence and Uniqueness of Solutions to Random Impulsive Differential Systems[J]. Acta Mathematicae Applicatae Sinica, 2006, 22(4): 627-632. DOI: 10.1007/s10255-006-0336-1 |
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| Authors: | Shu-jin Wu Xiao-lin Guo Song-qing Lin |
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| Affiliation: | (1) Department of Statistics, East China Normal University, Shanghai, 200062, China;(2) Faculty of Information Technology, Aihui University of Finance and Trade, Bengbu, 233041, China |
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| Abstract: | The existence and uniqueness in mean square of solutions to certain random impulsive differential systems is discussed in this paper. Cauchy-Schwarz inequality, Lipschtiz condition and techniques in stochastic analysis are employed in achieve the desired results. |
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| Keywords: | Random impulsive differential system, existence, uniqueness boundedness |
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