摘要
最近,P.Bezandry和T.Diagana(P.Bezandry,T.Diagana.Appl.Anal.,2007,117:1-10.)引入了均值概周期的概念,研究了一类随机时滞演化方程,并获得了其均值概周期存在和唯一的充分条件.我们将应用不动点理论和分数幂算子方法,获得一类中立型随机偏微分方程在均方意义下的概周期解的存在性和唯一性的充分条件.
P. Bezandry and T. Diagana introduced a new concept of square-mean almost periodicity. They established the existence and uniqueness of square-mean almost periodic mild solutions to some stochastic differential equations and some functional integrodifferential stochastic evolution equations. Sufficient conditions for the existence and uniqueness of a square-mean almost periodic mild solution of a class of abstract neutral stochastic differential equations in a real separable Hilbert space are derived with the help of the Banach fixed point theorem and the fractional power of operators.
出处
《四川师范大学学报(自然科学版)》
CAS
北大核心
2016年第5期659-664,共6页
Journal of Sichuan Normal University(Natural Science)
基金
国家自然科学基金(11326118)
关键词
中立随机偏微分方程
均值概周期
分数幂算子
不动点
neutral stochastic differential equations
square-mean almost periodic
fractional power of operators
fixed point