On Almost Automorphic Mild Solutions for Nonautonomous Stochastic Evolution Equations

Jing Cui and Litan Yan

Abstract and Applied Analysis, 2012, vol. 2012, 1-25

Abstract:

We consider a class of nonautonomous stochastic evolution equations in real separable Hilbert spaces. We establish a new composition theorem for square-mean almost automorphic functions under non-Lipschitz conditions. We apply this new composition theorem as well as intermediate space techniques, Krasnoselskii fixed point theorem, and Banach fixed point theorem to investigate the existence of square-mean almost automorphic mild solutions. Some known results are generalized and improved.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:870831

DOI: 10.1155/2012/870831

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