| 摘要: |
| 在较弱Lipschitz条件下，本文建立伪概自守随机过程分解定理，该定理推广了已知结果.利用所建立理论的性质，本文获得了一类随机微分方程的伪概自守弱解的存在唯一性条件. |
| 关键词: 伪概自守 分解 均方 弱解 |
| DOI： |
| 分类号:O174.23 |
| 基金项目:Supported by the National Science Foundation of Anhui Province (1608085MA12); Hefei Normal University Young Foundation (2015QN19). |
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| COMPOSITION OF PSEUDO AUTOMORPHIC STOCHASTIC PROCESS AND APPLICATIONS |
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ZHOU Hui1, ZHOU Zong-fu2, QIAO Zong-min1
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1.School of Mathematics and Statistics, Hefei Normal University, Hefei 230061, China;2.School of Mathematical Science, Anhui University, Hefei 230039, China
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| Abstract: |
| In this paper, a composition theorem for pseudo-almost automorphic stochastic process is established under a weaker Lipschitz condition. The composition theorem is more general than some known results. Using these properties, we obtain the existence and uniqueness of pseudoalmost automorphic mild solutions for a class of stochastic differential equations. |
| Key words: pseudo-almost automorphic composition square-mean mild solution |
