Inverse spectral problem for Sturm-Liouville operator with discontinuous coefficient and cubic polynomials of spectral parameter in boundary condition

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dc.authoridCOL, AYNUR/0000-0002-8143-9212
dc.contributor.authorCol, Aynur
dc.date.accessioned2025-03-23T19:30:39Z
dc.date.available2025-03-23T19:30:39Z
dc.date.issued2015
dc.departmentSinop Üniversitesi
dc.description.abstractIn this paper, the inverse scattering problem for the Sturm-Liouville operator with discontinuous coefficient and cubic polynomials of the spectral parameter in the boundary condition is considered. The scattering data of the problem is defined, and its properties are investigated. The modified Marchenko main equation is obtained and it is shown that the potential is uniquely recovered by the scattering data.
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TUBITAK)
dc.description.sponsorshipThis work is supported by The Scientific and Technological Research Council of Turkey (TUBITAK).
dc.identifier.doi10.1186/s13662-015-0478-7
dc.identifier.issn1687-1847
dc.identifier.scopus2-s2.0-84928812238
dc.identifier.scopusqualityN/A
dc.identifier.urihttps://doi.org/10.1186/s13662-015-0478-7
dc.identifier.urihttps://hdl.handle.net/11486/5131
dc.identifier.wosWOS:000353788200001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorCol, Aynur
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofAdvances in Difference Equations
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20250323
dc.subjectinverse problem
dc.subjectscattering data
dc.subjectSturm-Liouville operator
dc.subjectspectral parameter
dc.subjectdiscontinuous coefficient
dc.titleInverse spectral problem for Sturm-Liouville operator with discontinuous coefficient and cubic polynomials of spectral parameter in boundary condition
dc.typeArticle

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