Existence and Stability of Solutions for Nonautonomous Stochastic Functional Evolution Equations
<p/> <p>We establish the results on existence and exponent stability of solutions for a semilinear nonautonomous neutral stochastic evolution equation with finite delay; the linear part of this equation is dependent on time and generates a linear evolution system. The obtained results ar...
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| Language: | English |
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2009-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2009/785628 |
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doaj-e1264366a9da4a95bbbf2f369136a7b62020-11-24T22:09:21ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2009-01-0120091785628Existence and Stability of Solutions for Nonautonomous Stochastic Functional Evolution EquationsFu Xianlong<p/> <p>We establish the results on existence and exponent stability of solutions for a semilinear nonautonomous neutral stochastic evolution equation with finite delay; the linear part of this equation is dependent on time and generates a linear evolution system. The obtained results are applied to some neutral stochastic partial differential equations. These kinds of equations arise in systems related to couple oscillators in a noisy environment or in viscoelastic materials under random or stochastic influences.</p>http://www.journalofinequalitiesandapplications.com/content/2009/785628 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Fu Xianlong |
| spellingShingle |
Fu Xianlong Existence and Stability of Solutions for Nonautonomous Stochastic Functional Evolution Equations Journal of Inequalities and Applications |
| author_facet |
Fu Xianlong |
| author_sort |
Fu Xianlong |
| title |
Existence and Stability of Solutions for Nonautonomous Stochastic Functional Evolution Equations |
| title_short |
Existence and Stability of Solutions for Nonautonomous Stochastic Functional Evolution Equations |
| title_full |
Existence and Stability of Solutions for Nonautonomous Stochastic Functional Evolution Equations |
| title_fullStr |
Existence and Stability of Solutions for Nonautonomous Stochastic Functional Evolution Equations |
| title_full_unstemmed |
Existence and Stability of Solutions for Nonautonomous Stochastic Functional Evolution Equations |
| title_sort |
existence and stability of solutions for nonautonomous stochastic functional evolution equations |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1025-5834 1029-242X |
| publishDate |
2009-01-01 |
| description |
<p/> <p>We establish the results on existence and exponent stability of solutions for a semilinear nonautonomous neutral stochastic evolution equation with finite delay; the linear part of this equation is dependent on time and generates a linear evolution system. The obtained results are applied to some neutral stochastic partial differential equations. These kinds of equations arise in systems related to couple oscillators in a noisy environment or in viscoelastic materials under random or stochastic influences.</p> |
| url |
http://www.journalofinequalitiesandapplications.com/content/2009/785628 |
| work_keys_str_mv |
AT fuxianlong existenceandstabilityofsolutionsfornonautonomousstochasticfunctionalevolutionequations |
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1725812362129178624 |