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dc.contributor.authorDuque, Cosmeen_US
dc.contributor.authorLeiva, Hugoen_US
dc.date.accessioned2023-07-12T07:54:15Z
dc.date.available2023-07-12T07:54:15Z
dc.date.issued2023-07
dc.identifier.citationDuque, C. & Leiva, H. (2023). Controllability of a semilinear neutral dynamic equation on time scales with impulses and nonlocal conditions. TWMS Journal Of Applied And Engineering Mathematics, 13(3), 975-989.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/5599
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/121-vol13no3/1085
dc.description.abstractIn this paper we consider a control system governed by a neutral differential equation on time scales with impulses and nonlocal conditions. We obtain conditions under which the system is approximately controllable, on one hand, and on the other hand, the exactly controllable is also proved. Concretely, first of all, we prove the existence of solutions. After that, we prove approximate controllability assuming that the associated linear system on time scales is exactly controllable, and applying a technique developed by Bashirov et al. [8, 9, 10] where we can avoid fixed point theorems. Next, assuming certain conditions on the nonlinear term, we can apply Banach Fixed Point Theorem to prove exact controllability. Finally, we propose an example to illustrate the applicability of our results.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal Of Applied And Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectControllabilityen_US
dc.subjectSemilinear neutral dynamic equationen_US
dc.subjectImpulsesen_US
dc.subjectNonlocal conditionsen_US
dc.subjectTime scalesen_US
dc.titleControllability of a semilinear neutral dynamic equation on time scales with impulses and nonlocal conditionsen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume13
dc.identifier.issue3
dc.identifier.startpage975
dc.identifier.endpage989
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakEmerging Sources Citation Index (ESCI)en_US


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