非自治随机时滞微分方程概周期解的存在唯一性

讨论以下非自治时滞随机微分方程:如果非自治线性算子A(t)满足Acquistapace-Terreni(简称为AT)条件,则能找到算子{U(t,s),t≥s;t,s∈R}与其存在某种对应关系,然后根据算子{U(t,s),t≥s;t,s∈R}的性质和Banach不动点定理,证明了以上方程存在唯一的均方概周期mild解.

Existence of almost periodic solutions to a class of non- autonomous functional integro-differential stochastic equations

In this paper, a class of non-autonomous functional integro-differential stochastic equations in a real separable Hilbert space is studied. When the operators A（t） satisfy Acquistapace-Terreni conditions, and with some suitable assumptions, the existence and uniqueness of a square-mean almost periodic mild solution to the equations are obtained.