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oai:munzur-rdlopen.rawdatalibrary.net:munzur/10422026-10-28T15:28:26Zopenairedrivercom_munzur_1col_munzur_2com_munzur_8col_munzur_154

Direct and Inverse Scattering Problems for Sturm-Liouville Operator with Discontinuous Coefficient Under Discontinuity ConditionsAkcay, OzgeKosar, Nida Palamut34B2434L1034L25direct and inverse scattering problemsdiscontinuity conditionsfundamental equationSturm-Liouville operatorThis paper deals with the study of the direct and inverse problems of scattering theory for Sturm-Liouville operator with piecewise continuous coefficient under the discontinuity conditions at the interior point of the positive semi-axis. The scattering properties are examined and the eigenfunction expansion is obtained. The fundamental equation or Marchenko-type equation of the inverse scattering problem is derived and an algorithm of the reconstruction of the potential according to scattering data of this problem is given. Moreover, the continuity of scattering function of this problem is examined.Boletim da Sociedade Paranaense de Matematica2025Articlehttps://rdlopen.rawdatalibrary.net/r/munzur/1042https://doi.org/10.5269/bspm.764780037-8712enBoletim da Sociedade Paranaense de Matematicainfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://munzur-rdlopen.rawdatalibrary.net/tr/items/munzur/1042