分数阶Brown运动驱动下随机Volterra-Levin方程分布的稳定性

Stability in Distribution of Stochastic Volterra-Levin Equations Driven by Fractional Brownian Motion

用弱收敛方法研究分数阶Brown运动驱动下的随机Volterra-Levin方程,针对证明概率1意义下的稳定性和指数稳定性条件要求较强的问题,讨论一种更弱的稳定性:分布稳定性,得到了解部分过程的分布稳定性条件.

We studied stochastic Volterra-Levin equations driven by fractional Brownian motion.Aiming at the problem that the stability in probability and the exponential stability were sometimes too strong in some cases,we discussed a kind of weaker stability：the stability in distribution,and obtained the stability conditions in distribution of the segment process of the solutions.