Asymptotically almost periodic solutions of stochastic functional differential equations

摘要

In this paper, we investigate a class of stochastic functional differential equations of the formdx(t)=(Ax(t)+F(t,x(t),xt))dt+G(t,x(t),xt)∘dW(t).Our main results concern the existence and exponential stability of quadratic-mean asymptotically almost periodic mild solutions. An example is given to illustrate our results.