Asymptotic behaviour of mild solution of nonlinear stochastic partial functional equations driven by Rosenblatt process

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dc.contributor.authorDiop, Mamadou Abdoul
dc.contributor.authorAmoussou, Amour Toffodji Gbaguidi
dc.contributor.authorOgouyandjou, Carlos
dc.contributor.authorSakthivel, Rathinasamy
dc.date.accessioned2022-05-11T12:57:20Z
dc.date.available2022-05-11T12:57:20Z
dc.date.issued2019-06-27
dc.descriptionStochastic differential equations (SDEs) arise in many areas of science and engineering, wherein, quite often the future state of such systems depends not only on present state, but also on its history leading to stochastic functional differential equations with delays rather than SDEs.en_US
dc.description.abstractThis paper presents conditions to assure existence, uniqueness and stability for impulsive neutral stochastic integrodifferential equations with delay driven by Rosenblatt process and Poisson jumps. The Banach fixed point theorem and the theory of resolvent operator developed by Grimmer [R.C. Grimmer, Resolvent operators for integral equations in a Banach space, Trans. Am. Math. Soc., 273(1):333–349, 1982] are used. An example illustrates the potential benefits of these results.en_US
dc.description.sponsorshipWorld Banken_US
dc.identifier.citationDiop, M.A., Amoussou, A.T.G., Ogouyandjou, C., Sakthivel, R. (2019) Asymptotic behaviour of mild solution of nonlinear stochastic partial functional equations driven by Rosenblatt process, Nonlinear Analysis: Modelling and Control, Vol. 24, No. 4, pp.1–22. https://doi.org/10.15388/NA.2019.4.https://doi.org/10.15388/NA.2019.4.3en_US
dc.identifier.issn1392-5113
dc.identifier.urihttp://hdl.handle.net/123456789/1437
dc.language.isoenen_US
dc.publisherVilnius University Pressen_US
dc.relation.ispartofserieshttps://doi.org/10.15388/NA.2019.4.3;22
dc.subjectpartial functional differential equationsen_US
dc.subjectexistence resulten_US
dc.subjectresolvent operatoren_US
dc.subjectstabilityen_US
dc.subjectRosenblatt processen_US
dc.subjectPoison jumpsen_US
dc.titleAsymptotic behaviour of mild solution of nonlinear stochastic partial functional equations driven by Rosenblatt processen_US
dc.typeArticleen_US
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