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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2021, Volume 195, Pages 44–50
DOI: https://doi.org/10.36535/0233-6723-2021-195-44-50 (Mi into831) 		 
Goursat problem for a singular integro-functional-differential composite equation

A. N. Zarubin

Orel State University named after I. S. Turgenev
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DOI: https://doi.org/10.36535/0233-6723-2021-195-44-50
Abstract: We examine the Goursat problem for a composite equation with functional non-Carleman shifts of leading and retarded types in the singular integral operator and in the d'Alembert-type operator. We prove that the problem is uniquely solvable in the class of twice continuously differentiable solutions.
Keywords: composite equation, functional shift, singular integral equation, Goursat problem.
Document Type: Article
UDC: 517.956.6
MSC: 39B99
Language: Russian
Citation: A. N. Zarubin, “Goursat problem for a singular integro-functional-differential composite equation”, 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, 44–50
Citation in format AMSBIB
\Bibitem{Zar21}
\by A.~N.~Zarubin
\paper Goursat problem for a singular integro-functional-differential composite equation
\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 44--50
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into831}
\crossref{https://doi.org/10.36535/0233-6723-2021-195-44-50}
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