| 一类随机积分-微分方程的均方渐近概周期解 |
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| 引用本文： | 姚慧丽,王健伟.一类随机积分-微分方程的均方渐近概周期解[J].哈尔滨理工大学学报,2014,19(6):118-122. |
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| 作者姓名： | 姚慧丽 王健伟 |
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| 作者单位： | 哈尔滨理工大学应用科学学院,黑龙江哈尔滨,150080 |
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| 基金项目： | 黑龙江省教育厅2011年度科学技术研究项目 |
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| 摘 要： | 随机微分方程是在解决某些具有随机现象建立起来的一类方程,其中随机微分方程的均方渐近概周期解相比于均方概周期解应用更加广泛.为了研究均方渐近概周期过程在随机微分方程中的应用,利用均方渐近概周期函数的相关性质以及Banach不动点原理讨论了一类随机积分-微分方程均方渐近概周期解的存在性和唯一性.
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| 关 键 词： | 均方渐近概周期解 随机积分-微分方程 Banach不动点理论 |
Square-mean Asymptotically Almost Periodic Solutions to a class of Stochastic Integro-Differential Equations |
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| YAO Hui-li,WANG Jian-wei.Square-mean Asymptotically Almost Periodic Solutions to a class of Stochastic Integro-Differential Equations[J].Journal of Harbin University of Science and Technology,2014,19(6):118-122. |
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| Authors: | YAO Hui-li WANG Jian-wei |
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| Affiliation: | (School of Applied Sciences, Harbin University of Science and Technology, Harbin 150080, China) |
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| Abstract: | Stochastic differential equation is established by solving some stochastic phenomenon. Square-mean asymptotically almost periodic solutions of the equations are used more widely than square-mean almost periodic so- lutions. In order to study the applications of square-mean asymptotically almost periodic processes in the stochastic differential equations, the existence and uniqueness of square-mean asymptotically almost periodic solutions to a class of stochastic integro-differential equations are discussed using the properties of square-mean asymptotically al- most periodic functions and Banach fixed point theorem. |
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| Keywords: | square-mean asymptotically almost periodic solutions stochastic integro-differential equation Banach fixed point theorem |
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