Square-mean almost periodic solutions to some stochastic evolution equations |
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Authors: | Xi Liang Li |
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Affiliation: | 1. School of Mathematics and Information Sciences, Shandong Institute of Business and Technology, Yantai, 264005, P. R. China
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Abstract: | This paper concerns the square-mean almost periodic mild solutions to a class of abstract nonautonomous functional integro-differential stochastic evolution equations in a real separable Hilbert space. By using the so-called “Acquistapace-Terreni” conditions and the Banach fixed point theorem, we establish the existence, uniqueness and the asymptotical stability of square-mean almost periodic solutions to such nonautonomous stochastic differential equations. As an application, almost periodic solution to a concrete nonautonomous stochastic integro-differential equation is considered to illustrate the applicability of our abstract results. |
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Keywords: | Square-mean almost periodicity functional integro-differential equations " AcquistapaceTerreni" conditions evolution family |
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