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Existence and controllability of integrodifferential equations with non-instantaneous impulses in Fréchet spaces

dc.creatorBensalem, Abdelhamid
dc.creatorSalim, Abdelkrim
dc.creatorAhmad, Bashir
dc.creatorBenchohra, Mouffak
dc.date2023-08-05
dc.date.accessioned2023-12-19T18:55:51Z
dc.date.available2023-12-19T18:55:51Z
dc.identifierhttps://cubo.ufro.cl/ojs/index.php/cubo/article/view/3445
dc.identifier10.56754/0719-0646.2502.231
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/239187
dc.descriptionIn this paper, we investigate existence of mild solutions to a non-instantaneous integrodifferential equation via resolvent operators in the sense of Grimmer in Fréchet spaces. Utilizing the technique of measures of noncompactness in conjunction with the Darbo's fixed point theorem, we present sufficient criteria ensuring the controllability of the given problem. An illustrative example is also discussed.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/3445/2300
dc.rightsCopyright (c) 2023 A. Bensalem et al.en-US
dc.rightshttps://creativecommons.org/licenses/by-nc/4.0/en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 25 No. 2 (2023); 231–250en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 25 No. 2 (2023); 231–250es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectIntegrodifferential equationen-US
dc.subjectmild solutionen-US
dc.subjectmeasures of noncompactnessen-US
dc.subjectresolvent operator controllabilityen-US
dc.subjectfixed point theoremen-US
dc.subjectFréchet spaceen-US
dc.subject93B05en-US
dc.subject34D23en-US
dc.subject47H10en-US
dc.subject46A04en-US
dc.subject45J05en-US
dc.subject47H08en-US
dc.subject35D30en-US
dc.subject47B40en-US
dc.titleExistence and controllability of integrodifferential equations with non-instantaneous impulses in Fréchet spacesen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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