Asymptotic analysis of sturm-liouville problem with nonlocal integral-type boundary condition

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dc.authorscopusid6507494508
dc.authorscopusid55539330800
dc.contributor.authorStikonas, Arturas
dc.contributor.authorŞen, Erdoğan
dc.date.accessioned2022-05-11T14:04:42Z
dc.date.available2022-05-11T14:04:42Z
dc.date.issued2021
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractIn this study, we obtain asymptotic formulas for eigenvalues and eigenfunctions of the one-dimensional Sturm–Liouville equation with one classical-type Dirichlet boundary condition and integral-type nonlocal boundary condition. We investigate solutions of special initial value problem and find asymptotic formulas of arbitrary order. We analyze the characteristic equation of the boundary value problem for eigenvalues and derive asymptotic formulas of arbitrary order. We apply the obtained results to the problem with integral-type nonlocal boundary condition. © 2021 Authors. Published by Vilnius University Press.
dc.identifier.doi10.15388/namc.2021.26.24299
dc.identifier.endpage991
dc.identifier.issn1392-5113
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-85114518253
dc.identifier.scopusqualityQ2
dc.identifier.startpage969
dc.identifier.urihttps://doi.org/10.15388/namc.2021.26.24299
dc.identifier.urihttps://hdl.handle.net/20.500.11776/4723
dc.identifier.volume26
dc.identifier.wosWOS:000692324900011
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorŞen, Erdoğan
dc.language.isoen
dc.publisherVilnius University Press
dc.relation.ispartofNonlinear Analysis: Modelling and Control
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectAsymptotics of eigenvalues and eigenfunctions
dc.subjectNonlocal integral condition
dc.subjectSturm–Liouville problem
dc.titleAsymptotic analysis of sturm-liouville problem with nonlocal integral-type boundary condition
dc.typeArticle

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