Spectral Analysis of Discontinuous Boundary-Value Problems with Retarded Argument

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dc.authorid0000-0001-6603-2652
dc.authorid0000-0001-6603-2652
dc.authorscopusid55539330800
dc.authorwosidSen, Erdogan/ABA-5139-2020
dc.authorwosidŞen, Erdoğan/J-7484-2017
dc.contributor.authorŞen, Erdoğan
dc.date.accessioned2022-05-11T14:31:23Z
dc.date.available2022-05-11T14:31:23Z
dc.date.issued2018
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractIn the paper, we are concerned with spectral properties of discontinuous Sturm-Liouville type problems with retarded argument. We extend and generalize some approaches and results of the classical regular and discontinuous Sturm-Liouville problems. First, we study the spectral properties of a Sturm-Liouville problem on the half-axis and obtain lower bounds for the eigenvalues of this problem. Then we study spectral properties of a Sturm-Liouville problem with discontinuous weight function which contains a spectral parameter in the boundary conditions. We also obtain asymptotic formulas for eigenvalues and eigenfunctions of this problem and bounds for the distance between eigenvalues.
dc.identifier.endpage99
dc.identifier.issn1812-9471
dc.identifier.issn1817-5805
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85052502762
dc.identifier.scopusqualityQ3
dc.identifier.startpage78
dc.identifier.urihttps://hdl.handle.net/20.500.11776/7434
dc.identifier.volume14
dc.identifier.wosWOS:000429153000006
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorŞen, Erdoğan
dc.language.isoen
dc.publisherB Verkin Inst Low Temperature Physics & Engineering
dc.relation.ispartofJournal of Mathematical Physics Analysis Geometry
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectdifferential equation with retarded argument
dc.subjecteigenparameter
dc.subjecttransmission conditions
dc.subjectasymptotics of eigenvalues
dc.subjectbounds for eigenvalues
dc.subjectSturm-Liouville Problems
dc.subjectTransmission Conditions
dc.subjectEigenvalue Parameter
dc.subjectEigenfunctions
dc.titleSpectral Analysis of Discontinuous Boundary-Value Problems with Retarded Argument
dc.typeArticle

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