| 一类非自治随机微分方程的几乎自守解 |
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| 引用本文： | 付苗苗.一类非自治随机微分方程的几乎自守解[J].吉林大学学报(理学版),2011,49(4):669-673. |
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| 作者姓名： | 付苗苗 |
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| 作者单位： | 1. 长春师范学院 数学学院, 长春 130032,2. 吉林大学 数学学院, 长春 130012 |
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| 基金项目： | 吉林省自然科学基金，长春师范学院科研基金 |
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| 摘 要： | 利用Yosida逼近和“Acquistapace Terreni”条件, 得到了可分实Hilbert空间上非自治随机微分方程均方意义下几乎自守温和解的存在性和唯一性.
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| 关 键 词： | 随机微分方程 Yosida逼近 几乎自守温和解 |
| 收稿时间： | 2010-12-10 |
Square-Mean Almost Automorphic Solutions for a Class of Nonautonomous Stochastic Differential Equations |
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| FU Miao-miao.Square-Mean Almost Automorphic Solutions for a Class of Nonautonomous Stochastic Differential Equations[J].Journal of Jilin University: Sci Ed,2011,49(4):669-673. |
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| Authors: | FU Miao-miao |
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| Institution: | 1. College of Mathematics, Changchun Normal College, Changchun 130032, China;2. College of Mathematics, Jilin University, Changchun 130012, China |
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| Abstract: | The author discussed the square mean almost automorphic solutions to a class of nonautonomous stochastic differential equations on a separable real Hilbert space. Under so called “Acquistapace Terreni” conditions, the existence and uniqueness of square mean almost automorphic solutions to those nonautonomous stochastic differential equations were established. |
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| Keywords: | stochastic differential equation Yosida approximation square mean almost automorphic solution |
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