Asymptotic analysis of Sturm-Liouville problem with Neumann and nonlocal two-point boundary conditions

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dc.authoridŠtikonas, Art?ras/0000-0002-5872-5501
dc.authorwosidŠtikonas, Art?ras/C-5233-2016
dc.contributor.authorStikonas, Arturas
dc.contributor.authorŞen, Erdoğan
dc.date.accessioned2023-05-06T17:20:49Z
dc.date.available2023-05-06T17:20:49Z
dc.date.issued2022
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractIn this study, we obtain asymptotic expansions for eigenvalues and eigenfunctions of the one-dimensional Sturm-Liouville equation with one classical Neumann-type boundary condition and a two-point nonlocal boundary condition. We investigate solutions of special initial value problem and find their asymptotic expansions of any order. We analyze the characteristic equation of the boundary value problem for eigenvalues and derive asymptotic expansions of arbitrary order. We apply the obtained results to the problem with two-point nonlocal boundary condition.
dc.identifier.doi10.1007/s10986-022-09577-6
dc.identifier.endpage541
dc.identifier.issn0363-1672
dc.identifier.issn1573-8825
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85140603718
dc.identifier.scopusqualityQ3
dc.identifier.startpage519
dc.identifier.urihttps://doi.org/10.1007/s10986-022-09577-6
dc.identifier.urihttps://hdl.handle.net/20.500.11776/11971
dc.identifier.volume62
dc.identifier.wosWOS:000873557500001
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorŞen, Erdoğan
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofLithuanian Mathematical Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectSturm-Liouville problem
dc.subjectNeumann condition
dc.subjecttwo-point nonlocal conditions
dc.subjectasymptotics of eigenvalues and eigenfunctions
dc.subjectSpectrum
dc.subjectEigenfunctions
dc.subjectEigenvalues
dc.subjectOperator
dc.titleAsymptotic analysis of Sturm-Liouville problem with Neumann and nonlocal two-point boundary conditions
dc.typeArticle

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