%0 Journal Article %A CUI Jing %A SHEN GuangJun %T Almost Automorphic Solutions to Stochastic Evolution Equations Driven by L\'evy Processes %D 2017 %R 10.3969/j.issn.1001-4268.2017.05.002 %J CHINESE JOURNAL OF APPLIED PROBABILITY AND STATISTICS %P 450-466 %V 33 %N 5 %X

In this paper, we introduce a concept of Poisson $p$-mean almost automorphy for stochastic processes and give the composition theorems for (Poisson) $p$-mean almost automorphic functions under non-Lipschitz conditions. Our abstract results are, subsequently, applied to study a class of neutral stochastic evolution equations driven by L\'evy noise, and we present sufficient conditions for the existence of square-mean almost automorphic mild solutions. An example is provided to illustrate the effectiveness of the proposed result.

%U http://aps.ecnu.edu.cn/EN/10.3969/j.issn.1001-4268.2017.05.002