pith. sign in

arxiv: 1404.6621 · v1 · pith:WQ4X3KF5new · submitted 2014-04-26 · 🧮 math.PR · math.DS

Almost periodic solutions for stochastic differential equations with exponential dichotomy driven by Levy noise

classification 🧮 math.PR math.DS
keywords almostperiodicsolutionsboundedconditionsdichotomydifferentialdriven
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.