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| 摘要: |
| 本文提出了均方S渐进ω周期随机过程概念及理论，在可分的实Hilbert空间研究了一类随机微分方程均方S渐进ω周期解的存在与唯一性问题.获得了此类方程均方S渐进ω周期解的存在性与唯一性结果,推广了一些结果.最后给出例子来验证相应理论结果. |
| 关键词: 均方S渐进ω周期解 随机微分方程 随机过程 Hilbert 空间 |
| DOI： |
| 分类号:O175 |
| 基金项目:国家自然科学基金项目，河南省高等学校重点科研项目 |
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| Existence of square-mean s-asymptotically ω-periodic solutions to some stochastic differential equations |
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Liu Jinghuai
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| Abstract: |
| In this paper, by using the new concept and theorem of square-mean s-asymptotically ω-periodicity for stochastic process, we prove the existence and uniqueness of square-mean s-asymptotically ω-periodic mild solutions to some stochastic differential equations in a real separable Hilbert space under some suitable hypotheses. To illustrate the abstract result, a concrete example is given. |
| Key words: square-mean s-asymptotically ω-periodic stochastic differential equations stochastic process Hilbert spaces |
