Completeness of eigenfunctions of discontinuous Sturm-Liouville problems

dc.authorid0000-0002-8848-0058
dc.authorid0000-0001-6603-2652
dc.authorid0000-0001-6603-2652
dc.authorscopusid55539330800
dc.authorscopusid6507489007
dc.authorscopusid6506228517
dc.authorwosidOruçoğlu, Kamil/ABH-4956-2020
dc.authorwosidSen, Erdogan/ABA-5139-2020
dc.authorwosidŞen, Erdoğan/J-7484-2017
dc.contributor.authorŞen, Erdoğan
dc.contributor.authorMukhtarov, O.
dc.contributor.authorOruçoğlu, Kamil
dc.date.accessioned2022-05-11T14:31:17Z
dc.date.available2022-05-11T14:31:17Z
dc.date.issued2016
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractIn this work we investigate the resolvent operator and completeness of eigenfunctions of a Sturm-Liouville problem with discontinuities at two points. The problem contains an eigenparameter in one of the boundary conditions. For operator-theoretic formulation of the considered problem we define an equivalent inner product in the Hilbert space L-2[-1, 1] circle plus C and suitable self-adjoint linear operator in it.
dc.identifier.doi10.1007/s40995-016-0003-1
dc.identifier.endpage8
dc.identifier.issn1028-6276
dc.identifier.issn2364-1819
dc.identifier.issueA1en_US
dc.identifier.scopus2-s2.0-84971393401
dc.identifier.scopusqualityQ2
dc.identifier.startpage1
dc.identifier.urihttps://doi.org/10.1007/s40995-016-0003-1
dc.identifier.urihttps://hdl.handle.net/20.500.11776/7395
dc.identifier.volume40
dc.identifier.wosWOS:000377465800001
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorŞen, Erdoğan
dc.language.isoen
dc.publisherSpringer International Publishing Ag
dc.relation.ispartofIranian Journal of Science and Technology Transaction A-Science
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectSturm-Liouville problem
dc.subjectEigenvalue
dc.subjectEigenfunction
dc.subjectResolvent operator
dc.subjectTransmission conditions
dc.subjectBoundary-Value-Problems
dc.subjectEigenvalue Parameter
dc.titleCompleteness of eigenfunctions of discontinuous Sturm-Liouville problems
dc.typeArticle

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