On Almost Automorphic Mild Solutions for Nonautonomous Stochastic Evolution Equations

Jing Cui and Litan Yan

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

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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https://doi.org/10.1155/2012/870831

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:870831

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