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Approximate controllability of non-instantaneous impulsive stochastic integrodifferential equations driven by Rosenblatt process via resolvent operators

dc.creatorKpizim, Essozimna
dc.creatorDehigbe, Bertin
dc.creatorKasinathan, Ramkumar
dc.creatorKasinathan, Ravikumar
dc.creatorDiop, Mamadou Abdoul
dc.date2023-12-30
dc.date.accessioned2024-04-16T14:16:57Z
dc.date.available2024-04-16T14:16:57Z
dc.identifierhttps://cubo.ufro.cl/ojs/index.php/cubo/article/view/3590
dc.identifier10.56754/0719-0646.2503.467
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/241514
dc.descriptionIn this work, we investigate the existence of a mild solution and the approximate controllability of non-instantaneous impulsive stochastic integrodifferential equations driven by the Rosenblatt process in Hilbert space with the Hurst parameter \(\mathsf{H} \in (1/2, 1)\). We achieve the result using the semigroup theory of bounded linear operators, Grimmer's resolvent operator theory, and stochastic analysis. Using Krasnoselskii's and Schauder's fixed point theorems, we demonstrate the existence of mild solutions and the approximate controllability of the system. Finally, an example shows the potential for significant results.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttps://cubo.ufro.cl/ojs/index.php/cubo/article/view/3590/2340
dc.rightsCopyright (c) 2023 E. Kpizim et al.en-US
dc.rightshttps://creativecommons.org/licenses/by-nc/4.0/en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 25 No. 3 (2023); 467–495en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 25 No. 3 (2023); 467–495es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectApproximate controllabilityen-US
dc.subjectfixed point theoremen-US
dc.subjectRosenblatt processen-US
dc.subjectstochastic integrodifferential equationsen-US
dc.subjectresolvent operatoren-US
dc.subjectnon-instantaneous impulsesen-US
dc.subject93B05en-US
dc.subject47H10en-US
dc.subject47G20en-US
dc.subject35A50en-US
dc.subject60G20en-US
dc.titleApproximate controllability of non-instantaneous impulsive stochastic integrodifferential equations driven by Rosenblatt process via resolvent operatorsen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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