Asymptotic Behaviour of Eigenvalues and Eigenfunctions of a Sturm-Liouville Problem with Retarded Argument

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dc.authorid0000-0002-3950-6864
dc.authorid0000-0001-6603-2652
dc.authorid0000-0001-6603-2652
dc.authorscopusid55539330800
dc.authorscopusid35249182600
dc.authorscopusid35179145500
dc.authorwosidAraci, Serkan/P-4355-2015
dc.authorwosidSen, Erdogan/ABA-5139-2020
dc.authorwosidŞen, Erdoğan/J-7484-2017
dc.contributor.authorŞen, Erdoğan
dc.contributor.authorSeo, Jong Jin
dc.contributor.authorAracı, Serkan
dc.date.accessioned2022-05-11T14:31:11Z
dc.date.available2022-05-11T14:31:11Z
dc.date.issued2013
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractIn the present paper, a discontinuous boundary-value problem with retarded argument at the two points of discontinuities is investigated. We obtained asymptotic formulas for the eigenvalues and eigenfunctions. This is the first work containing two discontinuities points in the theory of differential equations with retarded argument. In that special case the transmission coefficients delta = gamma = 1 and retarded argument Delta = 0 in the results obtained in this work coincide with corresponding results in the classical Sturm-Liouville operator.
dc.identifier.doi10.1155/2013/306917
dc.identifier.issn1110-757X
dc.identifier.issn1687-0042
dc.identifier.scopus2-s2.0-84877257324
dc.identifier.scopusqualityQ3
dc.identifier.urihttps://doi.org/10.1155/2013/306917
dc.identifier.urihttps://hdl.handle.net/20.500.11776/7358
dc.identifier.wosWOS:000317762400001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorŞen, Erdoğan
dc.language.isoen
dc.publisherHindawi Ltd
dc.relation.ispartofJournal of Applied Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectBoundary-Value Problem
dc.subjectDifferential-Equations
dc.subjectEigenparameter
dc.subjectParameter
dc.titleAsymptotic Behaviour of Eigenvalues and Eigenfunctions of a Sturm-Liouville Problem with Retarded Argument
dc.typeArticle

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