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| 摘要: |
| 本文研究了在可分的实Hilbert空间中一类随机微分方程均方s渐进ω周期温和解的存在性问题.利用均方s渐进ω周期随机过程理论及Banach不动点定理，获得了此类方程均方s渐进ω周期温和解的存在及唯一性结果.最后给出相关例子来验证理论结果. |
| 关键词: 均方s渐进ω周期 温和解 随机微分方程 Hilbert空间 |
| DOI： |
| 分类号:O211.63 |
| 基金项目:Supported by National Natural Science Foundation of China (51401182); the Tianyuan Special Funds of the National Natural Science Foundation of China (11226337) and the Key Scientific Research Project of Higher Education of Henan Province (16A110024). |
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| EXISTENCE OF SQUARE-MEAN s-ASYMPTOTICALLY ω-PERIODIC SOLUTIONS TO SOME STOCHASTIC DIFFERENTIAL EQUATIONS |
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LIU Jing-huai,SONG Xiao-qiu,ZHANG Li-tao
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| Abstract: |
| This paper is concerned with the existence of square-mean s-asymptotically ω-periodic mild solutions to some stochastic differential equations in a real separable Hilbert space. By using the new theorem of square-mean s-asymptotically ω-periodicity for stochastic process and Banach fixed point theorem, we obtain the existence and uniqueness of square-mean s-asymptotically ω-periodic mild solutions to the equations. To illustrate the abstract result, a concrete example is given. |
| Key words: square-mean s-asymptotically ω-periodic mild solution stochastic differential equation Hilbert space |
