Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2021, Volume 195, Pages 75–80
DOI: https://doi.org/10.36535/0233-6723-2021-195-75-80 (Mi into835) 		 
On Kravchenko's method for solving the inverse Sturm–Liouville problem for nonsmooth potentials

S. V. Pisareva

Voronezh State University of Forestry and Technologies named after G.F. Morozov
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DOI: https://doi.org/10.36535/0233-6723-2021-195-75-80
Abstract: In this paper, we propose a method for solving the inverse Sturm–Liouville problem on a finite segment for the case of nonsmooth coefficients based on the Gelfand–Levitan equation and the representation of the kernel of the transformation operator in the series form.
Keywords: inverse Sturm–Liouville problem, Gelfand–Levitan equation, kernel of the transformation operator.
Document Type: Article
UDC: 517.9
MSC: 34B24
Language: Russian
Citation: S. V. Pisareva, “On Kravchenko's method for solving the inverse Sturm–Liouville problem for nonsmooth potentials”, Proceedings of the International Conference on Mathematical Modelling in Applied Sciences — ICMMAS'19. Belgorod, August 20–24, 2019, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 195, VINITI, Moscow, 2021, 75–80
Citation in format AMSBIB
\Bibitem{Pis21}
\by S.~V.~Pisareva
\paper On Kravchenko's method for solving the inverse Sturm--Liouville problem for nonsmooth potentials
\inbook Proceedings of the International Conference on Mathematical Modelling in Applied Sciences — ICMMAS'19. Belgorod, August 20–24, 2019
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 195
\pages 75--80
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into835}
\crossref{https://doi.org/10.36535/0233-6723-2021-195-75-80}
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