Almost Automorphic Solutions to Nonautonomous Stochastic Functional Integrodifferential Equations

Li Xi-liang and Han Yu-liang

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

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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https://doi.org/10.1155/2013/473969

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:473969

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