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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2023, Volume 226, Pages 120–126
DOI: https://doi.org/10.36535/0233-6723-2023-226-120-126 (Mi into1207) 		 
Scattering problem for one non-self-adjoint Sturm–Liouville operator

R. G. Farzullazadeha, Kh. R. Mamedovb

a Lankaran State University
b Iğdır University
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DOI: https://doi.org/10.36535/0233-6723-2023-226-120-126
Abstract: The scattering problem is considered for a class of second-order differential equations on a semi-infinite interval with a nonlinear spectral parameter in the boundary condition. The scattering data of the problem are determined and the fundamental equation of the inverse scattering problem is obtained.
Keywords: normalization polynomial, scattering function, scattering data, fundamental equation.
Document Type: Article
UDC: 517.9
MSC: 34L25, 34B07, 34B08
Language: Russian
Citation: R. G. Farzullazadeh, Kh. R. Mamedov, “Scattering problem for one non-self-adjoint Sturm–Liouville operator”, Differential Equations and Mathematical Physics, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 226, VINITI, Moscow, 2023, 120–126
Citation in format AMSBIB
\Bibitem{FarMam23}
\by R.~G.~Farzullazadeh, Kh.~R.~Mamedov
\paper Scattering problem for one non-self-adjoint Sturm--Liouville operator
\inbook Differential Equations and Mathematical Physics
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2023
\vol 226
\pages 120--126
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1207}
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