Stability of the Reconstruction Discontinuous Sturm-Liouville Problem

dc.contributor.authorErcan, Ahu
dc.contributor.authorPanakhov, Etibar
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2021-10-26T08:44:12Z
dc.date.available2021-10-26T08:44:12Z
dc.date.issued2019-02-01
dc.description.abstractIn this work, we study stability of the inverse spectral problem for the Sturm-Liouville operator -D²+q with discontinuity boundary conditions inside a finite closed interval. We use the method which is given by Ryabushko for regular Sturm-Liouville operator in <cite>ryb</cite> to obtain stability results. These results give a bound for the difference between the spectral functions of associated problems. In addition, we give asymptotic representation of the eigenvalues and a formula for the representation of the norming constants by two spectra.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage499tr_TR
dc.identifier.issn/e-issn2618-6470
dc.identifier.issue1tr_TR
dc.identifier.startpage484tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.430861tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/75760
dc.identifier.volume68tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.430861tr_TR
dc.relation.journalCommunications Faculty of Sciences University of Ankara Series A1 Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıtr_TR
dc.subjectDiscontinuitytr_TR
dc.subjectStabilitytr_TR
dc.subjectSpectral functiontr_TR
dc.titleStability of the Reconstruction Discontinuous Sturm-Liouville Problemtr_TR
dc.typeArticletr_TR

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