Traces and inverse nodal problems for a class of delay Sturm-Liouville operators

dc.authorscopusid55539330800
dc.contributor.authorŞen, Erdoğan
dc.date.accessioned2022-05-11T14:04:43Z
dc.date.available2022-05-11T14:04:43Z
dc.date.issued2021
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractIn this study, we investigate the regularized sums of eigenvalues, oscillation of eigenfunctions and solutions of inverse nodal problems of discontinuous Sturm–Liouville operators with a delayed argument and with a finite number of transmission conditions. With this aim, we obtain asymptotic formulas for eigenvalues, eigenfunctions and nodal points of the problem. Moreover, some numerical examples are given to illustrate the results. The problem differs from the other discontinuous Sturm–Liouville problems with retarded argument in that it contains a spectral parameter in boundary conditions. If we take the delayed argument ? ? 0, the coefficients ?+ i = ?+ i = 0 (i = 1, 2) in boundary conditions and the transmission coefficients ?i = 1 (i = 1,m ? 1) the results obtained below coincide with corresponding results in the classical Sturm–-Liouville operator. © TÜBİTAK
dc.identifier.doi10.3906/MAT-2005-55
dc.identifier.endpage318
dc.identifier.issn1300-0098
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85100674762
dc.identifier.scopusqualityQ2
dc.identifier.startpage305
dc.identifier.trdizinid531531
dc.identifier.urihttps://doi.org/10.3906/MAT-2005-55
dc.identifier.urihttps://hdl.handle.net/20.500.11776/4731
dc.identifier.volume45
dc.identifier.wosWOS:000651619000021
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakTR-Dizin
dc.institutionauthorŞen, Erdoğan
dc.language.isoen
dc.publisherTUBITAK
dc.relation.ispartofTurkish Journal of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectDifferential equation with delayed argument
dc.subjectinverse problem
dc.subjectnodal points
dc.subjectregularized trace
dc.subjecttransmission conditions
dc.titleTraces and inverse nodal problems for a class of delay Sturm-Liouville operators
dc.typeArticle

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