On Almost Automorphic Mild Solutions for Nonautonomous Stochastic Evolution Equations | Zendy

Jing Cui | Zendy; Litan Yan | Zendy

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On Almost Automorphic Mild Solutions for Nonautonomous Stochastic Evolution Equations

Author(s) -

Jing Cui,

Litan Yan

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/870831

Subject(s) - mathematics , banach space , lipschitz continuity , fixed point theorem , hilbert space , separable space , pure mathematics , class (philosophy) , composition (language) , banach fixed point theorem , fixed point , automorphic l function , mathematical analysis , linguistics , philosophy , automorphic form , artificial intelligence , computer science

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

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