Almost periodic solutions for stochastic differential equations with exponential dichotomy driven by Levy noise
Probability
2014-04-29 v1 Dynamical Systems
Abstract
In this paper, we study almost periodic solutions for semilinear stochastic differential equations driven by L\'{e}vy noise with exponential dichotomy property. Under suitable conditions on the coefficients, we obtain the existence and uniqueness of bounded solutions. Furthermore, this unique bounded solution is almost periodic in distribution under slightly stronger conditions. We also give two examples to illustrate our results.
Keywords
Cite
@article{arxiv.1404.6621,
title = {Almost periodic solutions for stochastic differential equations with exponential dichotomy driven by Levy noise},
author = {Yan Wang},
journal= {arXiv preprint arXiv:1404.6621},
year = {2014}
}
Comments
20 pages