| Poisson随机测度驱动下的随机时滞微分方程解的存在性与唯一性 |
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| 引用本文： | 尹湘锋,肖晴初.Poisson随机测度驱动下的随机时滞微分方程解的存在性与唯一性[J].应用数学学报,2010,33(4). |
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| 作者姓名： | 尹湘锋 肖晴初 |
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| 作者单位： | 1. 中南大学数学学院,长沙411075;湖南商学院信息学院,长沙410205
2. 中南大学数学学院,长沙411075;中南大学数学学院,长沙411075 |
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| 基金项目： | 湖南省教育厅科研，湖南省高等学校科学研究青年，湖南省自然科学基金 |
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| 摘 要： | 本文主要研究了Poison随机补偿测度驱动下的随机时滞偏微分方程.当方程的系数满足Lips-chitz条件时,利用算子的分数幂方法,讨论了方程在M型P(p=1或者P=2)次Banach空间中适度解的存在性与唯-性.
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| 关 键 词： | 随机时滞偏微分方程 Poisson随机测度 分数幂 M型P次 |
Stochastic Partial Functional Differential Equations Driven by Poisson Random Measure with Lipschitz Coefficients:Existence Results of Solution |
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| YIN XIANGFENG,XIAO QINGCHU.Stochastic Partial Functional Differential Equations Driven by Poisson Random Measure with Lipschitz Coefficients:Existence Results of Solution[J].Acta Mathematicae Applicatae Sinica,2010,33(4). |
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| Authors: | YIN XIANGFENG XIAO QINGCHU |
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| Institution: | YIN XIANGFENG (School of Mathematical Science and Computing Technology,Central South University,Changsha 410075) (School of Mathematics and Computing Science,Hunan University of Sciences and technology,Xiangtan411201) XIAO QINGCHU (School of Mathematical Science and Computing Technology,Changsha 410075) (Information Department of Hunan University of Commerce,Changsha 410205) |
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| Abstract: | |
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| Keywords: | stochastic partial functional differential equations fractional powers of closed operators Poisson random measure M type p |
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