EXISTENCE OF ALMOST PERIODIC SOLUTIONS TO SOME SEMI-LINEAR STOCHASTIC INTEGRO-DIFFERENTIAL EQUATIONS
Weiguo Liu, Jiaowan Luo (School of Math. and Information Sciences, Guangzhou University, Guangzhou 510006)
In this paper, in the sense of the definition of almost periodicity given by H.Bohr using fixed-point principle, we investigate the existence and uniqueness of quadratic mean almost periodic solutions to semi-linear stochastic integro-differential evolution equations associated with abstract Volterra equations. Some examples are also given to illustrate our theory.