Almost Automorphic Solutions to Nonautonomous Stochastic Functional Integrodifferential Equations
This paper concerns the square-mean almost automorphic solutions to a class of abstract semilinear nonautonomous functional integrodifferential stochastic evolution equations in real separable Hilbert spaces. Using the so-called “Acquistapace-Terreni” conditions and Banach contraction principle, the...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/473969 |
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| author | Li Xi-liang Han Yu-liang |
| author_facet | Li Xi-liang Han Yu-liang |
| author_sort | Li Xi-liang |
| collection | DOAJ |
| description | This paper concerns the square-mean almost automorphic solutions to a class of abstract semilinear nonautonomous functional integrodifferential stochastic evolution equations in real separable Hilbert spaces. Using the so-called “Acquistapace-Terreni” conditions and Banach contraction principle, the existence, uniqueness, and asymptotical stability results of square-mean almost automorphic mild solutions to such stochastic equations are established. As an application, square-mean almost automorphic solution to a concrete nonautonomous integro-differential stochastic evolution equation is analyzed to illustrate our abstract results. |
| format | Article |
| id | doaj-art-23a8a88fa72a45bb8fef0891aaf7591a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-23a8a88fa72a45bb8fef0891aaf7591a2025-02-03T01:27:48ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/473969473969Almost Automorphic Solutions to Nonautonomous Stochastic Functional Integrodifferential EquationsLi Xi-liang0Han Yu-liang1School of Mathematics and Information Sciences, Shandong Institute of Business and Technology, Yantai 264005, ChinaSchool of Mathematics and Information Sciences, Shandong Institute of Business and Technology, Yantai 264005, ChinaThis paper concerns the square-mean almost automorphic solutions to a class of abstract semilinear nonautonomous functional integrodifferential stochastic evolution equations in real separable Hilbert spaces. Using the so-called “Acquistapace-Terreni” conditions and Banach contraction principle, the existence, uniqueness, and asymptotical stability results of square-mean almost automorphic mild solutions to such stochastic equations are established. As an application, square-mean almost automorphic solution to a concrete nonautonomous integro-differential stochastic evolution equation is analyzed to illustrate our abstract results.http://dx.doi.org/10.1155/2013/473969 |
| spellingShingle | Li Xi-liang Han Yu-liang Almost Automorphic Solutions to Nonautonomous Stochastic Functional Integrodifferential Equations Abstract and Applied Analysis |
| title | Almost Automorphic Solutions to Nonautonomous Stochastic Functional Integrodifferential Equations |
| title_full | Almost Automorphic Solutions to Nonautonomous Stochastic Functional Integrodifferential Equations |
| title_fullStr | Almost Automorphic Solutions to Nonautonomous Stochastic Functional Integrodifferential Equations |
| title_full_unstemmed | Almost Automorphic Solutions to Nonautonomous Stochastic Functional Integrodifferential Equations |
| title_short | Almost Automorphic Solutions to Nonautonomous Stochastic Functional Integrodifferential Equations |
| title_sort | almost automorphic solutions to nonautonomous stochastic functional integrodifferential equations |
| url | http://dx.doi.org/10.1155/2013/473969 |
| work_keys_str_mv | AT lixiliang almostautomorphicsolutionstononautonomousstochasticfunctionalintegrodifferentialequations AT hanyuliang almostautomorphicsolutionstononautonomousstochasticfunctionalintegrodifferentialequations |