一类随机积分-微分方程的均方概周期解

Square-Mean Almost Periodic Solutions for a Class of Stochastic Integro-Differential Equations

利用概周期函数和指数型二分性的性质、Ito等距公式及Banach不动点定理,给出了随机积分-微分方程dx=[A（t）x（t）＋F1（t,x（t））]dt＋sum from j=1 to m∫t-∞C（t-u）Gj（u,x（u））dW（u）＋∫t-∞B（t-u）F2（us（u））du均方概周期解的存在唯一性定理.

We studied the following stochastic integro-differential equation dx=[A（t）x（t）＋F1（t,x（t））]dt＋C（t-u）G1（u,x（u））dWt（u） ＋B（t - u）F2（u,x（u） ）du. Using the properties of almost periodic functions and exponential dichotomy,Ito isometry formula as well as Banach fixed point theorem,we established the theorem for the existence and uniqueness of square-mean almost periodic solutions of the equations.