Almost Periodic Solutions and Stable Solutions for Stochastic Differential Equations
Dynamical Systems
2016-09-20 v1 Probability
Abstract
In this paper, we discuss the relationships between stability and almost periodicity for solutions of stochastic differential equations. Our essential idea is to get stability of solutions or systems by some inherited properties of Lyapunov functions. Under suitable conditions besides Lyapunov functions, we obtain the existence of almost periodic solutions in distribution.
Cite
@article{arxiv.1609.05726,
title = {Almost Periodic Solutions and Stable Solutions for Stochastic Differential Equations},
author = {Yong Li and Zhenxin Liu and Wenhe Wang},
journal= {arXiv preprint arXiv:1609.05726},
year = {2016}
}
Comments
16 pages, no figures