On Almost Automorphic Mild Solutions for Nonautonomous Stochastic Evolution Equations
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, Kr...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/870831 |
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| _version_ | 1850224325734432768 |
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| author | Jing Cui Litan Yan |
| author_facet | Jing Cui Litan Yan |
| author_sort | Jing Cui |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-51c6fc3c4eac45a2b2b80f34244f95b3 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-51c6fc3c4eac45a2b2b80f34244f95b32025-08-20T02:05:39ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/870831870831On Almost Automorphic Mild Solutions for Nonautonomous Stochastic Evolution EquationsJing Cui0Litan Yan1Department of Mathematics, Anhui Normal University, 1 East Beijing Road, Wuhu 241000, ChinaDepartment of Mathematics, Donghua University, 2999 North Renmin Road, Songjiang, Shanghai 201620, ChinaWe 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.http://dx.doi.org/10.1155/2012/870831 |
| spellingShingle | Jing Cui Litan Yan On Almost Automorphic Mild Solutions for Nonautonomous Stochastic Evolution Equations Abstract and Applied Analysis |
| title | On Almost Automorphic Mild Solutions for Nonautonomous Stochastic Evolution Equations |
| title_full | On Almost Automorphic Mild Solutions for Nonautonomous Stochastic Evolution Equations |
| title_fullStr | On Almost Automorphic Mild Solutions for Nonautonomous Stochastic Evolution Equations |
| title_full_unstemmed | On Almost Automorphic Mild Solutions for Nonautonomous Stochastic Evolution Equations |
| title_short | On Almost Automorphic Mild Solutions for Nonautonomous Stochastic Evolution Equations |
| title_sort | on almost automorphic mild solutions for nonautonomous stochastic evolution equations |
| url | http://dx.doi.org/10.1155/2012/870831 |
| work_keys_str_mv | AT jingcui onalmostautomorphicmildsolutionsfornonautonomousstochasticevolutionequations AT litanyan onalmostautomorphicmildsolutionsfornonautonomousstochasticevolutionequations |