1. Almost Automorphic Solutions to Nonautonomous Stochastic Functional Integrodifferential Equations
- Author
-
Han Yu-liang and Li Xi-liang
- Subjects
Pure mathematics ,Class (set theory) ,Article Subject ,Applied Mathematics ,lcsh:Mathematics ,Mathematical analysis ,Hilbert space ,Stability result ,Stochastic evolution ,lcsh:QA1-939 ,Separable space ,symbols.namesake ,symbols ,Uniqueness ,Contraction principle ,Analysis ,Mathematics - Abstract
This paper concerns the square-mean almost automorphic solutions to a class of abstract semilinear nonautonomous functional integrodifferential stochastic evolution equations in real separable Hilbert spaces. Using the so-called “Acquistapace-Terreni” conditions and Banach contraction principle, the existence, uniqueness, and asymptotical stability results of square-mean almost automorphic mild solutions to such stochastic equations are established. As an application, square-mean almost automorphic solution to a concrete nonautonomous integro-differential stochastic evolution equation is analyzed to illustrate our abstract results.
- Published
- 2013