Almost Automorphic Solutions to Nonautonomous Stochastic Functional Integrodifferential Equations

Li Xi-liang and Han Yu-liang

Abstract and Applied Analysis, 2013, vol. 2013, 1-13

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:473969

DOI: 10.1155/2013/473969

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