Spectral expansion of Sturm-Liouville problems with eigenvalue-dependent boundary conditions

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dc.authorid0000-0002-5327-2312en_US
dc.contributor.authorYokuş, Nihal
dc.contributor.authorArpat, Esra Kir
dc.date.accessioned2019-12-06T21:15:16Z
dc.date.available2019-12-06T21:15:16Z
dc.date.issued2019
dc.departmentKMÜ, Kamil Özdağ Fen Fakültesi, Matematik Bölümüen_US
dc.descriptionWOS:000488869500008en_US
dc.description.abstractIn this paper, we consider the operator L generated in L-2 (R+) by the differential expression l(y) = -y '' + q(x)y, x is an element of R+ := [0, infinity) and the boundary condition y'(0)/y(0) = alpha(0) +alpha(1)lambda +alpha(2)lambda(2), where q is a complex valued function and alpha(i) is an element of C, i = 0, 1, 2 with alpha(2) not equal 0. We have proved that spectral expansion of L in terms of the principal functions under the condition q is an element of AC(R+), lim(x ->infinity) q(x) = 0, sup(x is an element of R+) [e(epsilon root x)vertical bar q' (x)vertical bar] < infinity, epsilon > 0 taking into account the spectral singularities. We have also proved the convergence of the spectral expansion.en_US
dc.identifier.citationYokuş, N., Kır, A. E. (2019). Spectral expansion of Sturm-Liouville problems with eigenvalue-dependent boundary conditions. Communications Faculty of Science University of Ankara Series A1mathematics and Statistics, 68, 2, 1316-1334.
dc.identifier.doi10.31801/cfsuasmas.526270
dc.identifier.endpage1334en_US
dc.identifier.issn1303-5991
dc.identifier.issue2en_US
dc.identifier.startpage1316en_US
dc.identifier.trdizinid378279
dc.identifier.urihttps://dx.doi.org/10.31801/cfsuasmas.526270
dc.identifier.urihttps://hdl.handle.net/11492/2520
dc.identifier.volume68en_US
dc.identifier.wosWOS:000488869500008
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Sceince
dc.indekslendigikaynakTR-Dizin
dc.institutionauthorYokuş, Nihal
dc.language.isoen
dc.publisherAnkara Univ, Fac Scien_US
dc.relation.journalCommunications Faculty Of Sciences University Of Ankara-Series A1 Mathematics And Statisticsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectEigenvaluesen_US
dc.subjectSpectral Singularitiesen_US
dc.subjectPrincipal Functionsen_US
dc.subjectResolventen_US
dc.subjectSpectral Expansionen_US
dc.titleSpectral expansion of Sturm-Liouville problems with eigenvalue-dependent boundary conditionsen_US
dc.typeArticle

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