Existence and Stability for Stochastic Partial Differential Equations with Infinite Delay
We consider a class of neutral stochastic partial differential equations with infinite delay in real separable Hilbert spaces. We derive the existence and uniqueness of mild solutions under some local Carathéodory-type conditions and also exponential stability in mean square of mild solutions as wel...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/235937 |
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| _version_ | 1850223161865404416 |
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| author | Jing Cui Litan Yan Xichao Sun |
| author_facet | Jing Cui Litan Yan Xichao Sun |
| author_sort | Jing Cui |
| collection | DOAJ |
| description | We consider a class of neutral stochastic partial differential equations with infinite delay in real separable Hilbert spaces. We derive the existence and uniqueness of mild solutions under some local Carathéodory-type conditions and also exponential stability in mean square of mild solutions as well as its sample paths. Some known results are generalized and improved. |
| format | Article |
| id | doaj-art-5d89874cc4c348c79f971ccc85632eb4 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-5d89874cc4c348c79f971ccc85632eb42025-08-20T02:06:04ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/235937235937Existence and Stability for Stochastic Partial Differential Equations with Infinite DelayJing Cui0Litan Yan1Xichao Sun2Department of Mathematics, Anhui Normal University, 1 East Beijing Road, Wuhu 241000, ChinaDepartment of Mathematics, Donghua University, 2999 North Renmin Road, Songjiang, Shanghai 201620, ChinaDepartment of Mathematics and Physics, Bengbu College, Bengbu 233030, ChinaWe consider a class of neutral stochastic partial differential equations with infinite delay in real separable Hilbert spaces. We derive the existence and uniqueness of mild solutions under some local Carathéodory-type conditions and also exponential stability in mean square of mild solutions as well as its sample paths. Some known results are generalized and improved.http://dx.doi.org/10.1155/2014/235937 |
| spellingShingle | Jing Cui Litan Yan Xichao Sun Existence and Stability for Stochastic Partial Differential Equations with Infinite Delay Abstract and Applied Analysis |
| title | Existence and Stability for Stochastic Partial Differential Equations with Infinite Delay |
| title_full | Existence and Stability for Stochastic Partial Differential Equations with Infinite Delay |
| title_fullStr | Existence and Stability for Stochastic Partial Differential Equations with Infinite Delay |
| title_full_unstemmed | Existence and Stability for Stochastic Partial Differential Equations with Infinite Delay |
| title_short | Existence and Stability for Stochastic Partial Differential Equations with Infinite Delay |
| title_sort | existence and stability for stochastic partial differential equations with infinite delay |
| url | http://dx.doi.org/10.1155/2014/235937 |
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