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dc.contributor.authorMutlu, Gökhanen_US
dc.date.accessioned2021-01-26T11:18:57Z
dc.date.available2021-01-26T11:18:57Z
dc.date.issued2021
dc.identifier.citationMutlu, G. (2021). Associated functions of non-selfadjoint Sturm-Liouville operator with operator coefficient. TWMS Journal of Applied and Engineering Mathematics, 11(1), 113-121.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/3055
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/110-vol11-no1/668
dc.description.abstractSturm-Liouville operator equation with selfadjoint operator coefficent has been studied in detail. In this paper, we consider the Sturm-Liouville operator equation with non-selfadjoint operator coefficent. Namely, we examine the non-selfadjoint SturmLiouville operator L which is generated in L2(R+, H) by the differential expression L(Y ) = ?Y’’ + Q(x)Y, 0 < x < ?, with operator coefficient together with the boundary condition Y (0) = 0, where Q(x) is a non-selfadjoint, completely continuous operator in a separable Hilbert space H for each x ? (0, ?). We find the associated functions corresponding to the eigenvalues and spectral singularities of L. Moreover, we prove that the associated functions corresponding to the eigenvalues belong to L2 (R+, H) while the associated functions corresponding to the spectral singularities do not.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.subjectSturm-Liouville operator equationen_US
dc.subjectAssociated functionsen_US
dc.subjectOperator coefficienten_US
dc.subjectNon-selfadjoint operatorsen_US
dc.titleAssociated functions of non-selfadjoint Sturm-Liouville operator with operator coefficienten_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume11
dc.identifier.issue1
dc.identifier.startpage113
dc.identifier.endpage121
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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