Almost periodic solutions of affine ito equations
Almost periodic solutions of affine ito equations
复制标题
DOI：
10.1080/07362998908809194
复制
发表时间：
1989
影响因子：
1.3
通讯作者：
T. Morozan;C. Tudor
中科院分区：
文献类型：
--
作者：
T. Morozan;C. Tudor
讨论了具有概周期系数的仿射随机微分方程的概周期分布解的存在性问题。证明了若仿射方程的线性部分均方指数稳定，则仿射系统的唯一连续L2有界解具有一维概周期分布.一个类似的结果是渐近概周期的情况下
We discuss the problem of the existence of almost periodic in distribution solutions of affine stochastic differential equations with almost periodic coefficients. We prove that if the linear part of the affine equation is exponentially stable in mean square then the unique continuous L2 -bounded solution of the affine system has the onedimensional distributions almost periodic. An analogous result is shown for the asymptotic almost periodic case