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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2021, Volume 200, Pages 81–86
DOI: https://doi.org/10.36535/0233-6723-2021-200-81-86 (Mi into903) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the inverse scattering problem for a class of Sturm–Liouville operators

Kh. R. Mamedov, U. Demirbilek

University of Mersin
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DOI: https://doi.org/10.36535/0233-6723-2021-200-81-86
Abstract: On the positive semi-infinite interval, we consider the inverse scattering problem for the Sturm–Liouville operator with a quadratic polynomial of the spectral parameter in the boundary condition. We define the scattering data of the problem and examine its properties. We derive the main integral equation and show that the potential is uniquely recovered.
Keywords: inverse problem, scattering function, scattering data, spectral parameter, Sturm–Liouville operator.
Document Type: Article
UDC: 517.9
MSC: 41A35
Language: Russian
Citation: Kh. R. Mamedov, U. Demirbilek, “On the inverse scattering problem for a class of Sturm–Liouville operators”, Proceedings of the 20 International Saratov Winter School "Contemporary Problems of Function Theory and Their Applications", Saratov, January 28 — February 1, 2020. Part 2, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 200, VINITI, Moscow, 2021, 81–86
Citation in format AMSBIB
\Bibitem{MamDem21}
\by Kh.~R.~Mamedov, U.~Demirbilek
\paper On the inverse scattering problem for a class of Sturm--Liouville operators
\inbook Proceedings of the 20 International Saratov Winter School "Contemporary Problems of Function Theory and Their Applications", Saratov, January 28 — February 1, 2020. Part 2
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 200
\pages 81--86
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into903}
\crossref{https://doi.org/10.36535/0233-6723-2021-200-81-86}
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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