arXiv subjects

Wenhe Wang

Publications and source records attributed to Wenhe Wang.

2 recordsLinked to original sources

arXiv2016

Almost Periodic Solutions and Stable Solutions for Stochastic Differential Equations

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.

math.DS↗

arXiv2015

Favard separation method for almost periodic stochastic differential equations

Favard separation method is an important means to study almost periodic solutions to linear differential equations; later, Amerio applied Favard's idea to nonlinear differential equations. In this paper, by appropriate choosing separation and almost periodicity in distribution sense, we obtain the Favard and Amerio type theorems for stochastic differential equations.

math.PR↗