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-  2017 

伪概自首随机过程分解及应用
COMPOSITION OF PSEUDO AUTOMORPHIC STOCHASTIC PROCESS AND APPLICATIONS

Keywords: 伪概自守 分解 均方 弱解
pseudo-almost automorphic composition square-mean mild solution

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Abstract:

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.
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

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