Existence and asymptotic behavior of square-mean S-asymptotically periodic solutions for stochastic evolution equation involving delay

This paper studies the stochastic evolution equations with finite delay.By means of the compact semigroup theory and Schauder fixed point theorem, the existence of square-mean S -asymptotically periodic mild solutions is obtained under certain growth conditions.In addition, using the contraction mapping principle and Gronwall integral inequality, the uniqueness and global asymptotic stability of the square-mean S -asymptotically periodic mild solutions are discussed.Finally, an example is given to illustrate our abstract results.