| 一类非时齐非Lipschitz条件下随机偏微分方程解的存在性和唯一性 |
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| 引用本文： | 谢颖超.一类非时齐非Lipschitz条件下随机偏微分方程解的存在性和唯一性[J].徐州师范大学学报(自然科学版),2007,25(1):1-5. |
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| 作者姓名： | 谢颖超 |
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| 作者单位： | 徐州师范大学数学科学学院,江苏,徐州,221116 |
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| 基金项目： | 国家自然科学基金;江苏省自然科学基金;徐州师范大学校科研和校改项目 |
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| 摘 要： | 在系数满足非时齐非Lipschitz条件下,利用Picard型逼近法研究了随机偏微分方程解的存在性和唯一性,把Denis和Stoica文章(2004)中相应结论推广到更一般情形,并给出两个具体的例子.
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| 关 键 词： | 随机偏微分方程 解的存在性与唯一性 Picard逼近 非时齐 非Lipschitz条件 |
| 文章编号： | 23969299 |
| 修稿时间： | 12 8 2006 12:00AM |
Existence and Uniqueness of Solutions of SPDE with Non-Lipschitz and Non-time-homogeneous Coefficients |
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| XIE Ying-chao.Existence and Uniqueness of Solutions of SPDE with Non-Lipschitz and Non-time-homogeneous Coefficients[J].Journal of Xuzhou Normal University(Natural Science Edition),2007,25(1):1-5. |
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| Authors: | XIE Ying-chao |
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| Institution: | School of Mathematical Science, Xuzhou Normal University, Xuzhou, Jiangsu, 221116, China |
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| Abstract: | In this paper,using a Picard type method of approximation,we research the existence and uniqueness of solutions of stochastic partial differential equations whose coefficients satisfy non-Lipschitz condition and are non-time-homogeneous,generalizing Denis and Stoica's results in 1].Two examples are given. |
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| Keywords: | stochastic partial differential equation existence and uniqueness of solution Picard approximation non time-homogeneous non-Lipschitz condition |
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