一类随机积分-微分方程的均方概周期解

J4 ›› 2013, Vol. 51 ›› Issue (03): 393-397.

一类随机积分-微分方程的均方概周期解

刘柏枫, 韩玉良, 孙喜东

山东工商学院数学与信息科学学院, 山东烟台 264005

收稿日期:2012-09-21 出版日期:2013-05-26 发布日期:2013-05-17
通讯作者: 刘柏枫 E-mail:lbfg@sohu.com

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

LIU Baifeng, HAN Yuliang, SUN Xidong

College of Mathematics and Information Science, Shandong Institute of Business and Technology,Yantai 264005, Shandong Province, China

Received:2012-09-21 Online:2013-05-26 Published:2013-05-17
Contact: LIU Baifeng E-mail:lbfg@sohu.com

摘要/Abstract

摘要：

利用概周期函数和指数型二分性的性质、 It等距公式及Banach不动点定理, 给出了随机积分-微分方程均方概周期解的存在唯一性定理.

关键词: 随机过程, 均方概周期解, 随机积分微分方程, 指数型二分性

Abstract:

We studied the following stochastic integrodifferential equation Using the properties of almost periodic functions and exponential dichotomy, It 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.

Key words: processes, squaremean almost periodicity, stochastic integrodifferential equation, exponential dichotomy, stochastic

中图分类号:

O175.6

刘柏枫, 韩玉良, 孙喜东. 一类随机积分-微分方程的均方概周期解[J]. J4, 2013, 51(03): 393-397.

LIU Bai-Feng, HAN Yu-Liang, SUN Chi-Dong. SquareMean Almost Periodic Solutions for a Classof Stochastic IntegroDifferential Equations[J]. J4, 2013, 51(03): 393-397.

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