%0 Journal Article
%T 一类随机微分方程均方s渐进ω周期解的存在性<br>EXISTENCE OF SQUARE-MEAN s-ASYMPTOTICALLY ω-PERIODIC SOLUTIONS TO SOME STOCHASTIC DIFFERENTIAL EQUATIONS
%A 作者
%A 刘敬怀
%A 宋晓秋
%A 张理涛
%J 数学杂志
%D 2018
%X 本文研究了在可分的实Hilbert空间中一类随机微分方程均方s渐进ω周期温和解的存在性问题.利用均方s渐进ω周期随机过程理论及Banach不动点定理，获得了此类方程均方s渐进ω周期温和解的存在及唯一性结果.最后给出相关例子来验证理论结果.<br>This paper is concerned with the existence of square-mean s-asymptotically ω-periodic mild solutions to some stochastic differential equations in a real separable Hilbert space. By using the new theorem of square-mean s-asymptotically ω-periodicity for stochastic process and Banach fixed point theorem, we obtain the existence and uniqueness of square-mean s-asymptotically ω-periodic mild solutions to the equations. To illustrate the abstract result, a concrete example is given
%K 均方s渐进ω周期 温和解 随机微分方程 Hilbert空间&lt
%K br&gt
%K square-mean s-asymptotically ω-periodic mild solution stochastic differential equation Hilbert space
%U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20180503&flag=1