Almost sure asymptotic stability for some stochastic partial functional integrodifferential equations on Hilbert spaces

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dc.contributor.authorDieye, Moustapha
dc.contributor.authorDiop, Mamadou Abdoul
dc.contributor.authorEzzinbi, Khalil
dc.date.accessioned2022-05-26T12:45:30Z
dc.date.available2022-05-26T12:45:30Z
dc.date.issued2019-04-25
dc.descriptionStochastic delay differential equations (SDDEs) play an important role in many branches of science and industry. Such models have been used with great success in a variety of application areas, including biology, epidemiology, mechanics, economics, and finance.en_US
dc.description.abstractIn this work, we study the asymptotic behavior of the mild solutions of a class of stochastic partial functional integrodifferential equation on Hilbert spaces. Using the stochastic convolution developed, we establish the exponential stability in mean square with p ≥ 2. Also, pathwise exponential stability is proved for p> 2. We extend the result of an example is provided for illustration.en_US
dc.description.sponsorshipCEA-MITIC from Gaston Berger University World Bank.en_US
dc.identifier.citationAlmost sure asymptotic stability for some stochastic partial functional integrodifferential equations on Hilbert spaces. Cogent Mathematics & Statistics, Volume 6. https://doi.org/10.1080/25742558.2019.1602928en_US
dc.identifier.urihttp://hdl.handle.net/123456789/1457
dc.language.isoenen_US
dc.publisherTaylor and Francis Onlineen_US
dc.relation.ispartofserieshttps://doi.org/10.1080/25742558.2019.1602928;
dc.subjectexponential stability in p-meanen_US
dc.subjectalmost sure aymptotic stabilityen_US
dc.subjectresolvent operatoren_US
dc.subjectstochastic convolutionen_US
dc.subjectmild solutionen_US
dc.subjectpredictable processen_US
dc.titleAlmost sure asymptotic stability for some stochastic partial functional integrodifferential equations on Hilbert spacesen_US
dc.typeArticleen_US
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