On an inverse scattering problem for a class Dirac operator with discontinuous coefficient and nonlinear dependence on the spectral parameter in the boundary condition

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dc.contributor.authorMamedov, ‪Khanlar R.
dc.contributor.authorÇöl, Aynur
dc.date.accessioned2022-01-07T10:56:04Z
dc.date.available2022-01-07T10:56:04Z
dc.date.issued2012
dc.departmentAÇÜ, Eğitim Fakültesi, Matematik ve Fen Bilimleri Eğitimi Bölümüen_US
dc.description.abstractOn the positive semi-infinite interval, we obtained a generalization of the Marchenko method for a Dirac equation system with a discontinuous coefficient and a quadratic polynomial on a spectral parameter in the boundary condition. In this connection, we use an new integral representation of the Jost solution of equation systems, which does not have a triangular form. The scattering function of the problem is defined, and its properties are examined. The Marchenko-type main equation is obtained, and it is shown that the potential is uniquely recovered in terms the scattering function.
dc.identifier.citationMamedov, K. R., & Çöl, A. (2012). On an inverse scattering problem for a class Dirac operator with discontinuous coefficient and nonlinear dependence on the spectral parameter in the boundary condition. Mathematical Methods in the Applied Sciences, 35(14), 1712-1720.en_US
dc.identifier.doi10.1002/mma.2553
dc.identifier.endpage1720en_US
dc.identifier.issue14en_US
dc.identifier.scopusqualityQ1
dc.identifier.startpage1712en_US
dc.identifier.urihttps://hdl.handle.net/11494/3692
dc.identifier.volume35en_US
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorKhanlar R., Mamedov
dc.language.isoenen_US
dc.publisherWileyen_US
dc.relation.ispartofMathematical Methods in the Applied Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectScattering functionen_US
dc.subjectMarchenko-type equationen_US
dc.subjectDirac equation systemen_US
dc.subjectDiscontinuous coefficienten_US
dc.subjectNonlinear spectralparameteren_US
dc.titleOn an inverse scattering problem for a class Dirac operator with discontinuous coefficient and nonlinear dependence on the spectral parameter in the boundary conditionen_US
dc.typeArticle

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