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 193, Pages 33–44
DOI: https://doi.org/10.36535/0233-6723-2021-193-33-44 (Mi into799) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On a system of Volterra integral equations with a weakly singular kernel

M. Ghiata, S. Kamouchea, A. Khellafa, W. Merchelab

a Université 8 Mai 1945 - Guelma
b Tambov State University named after G.R. Derzhavin
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DOI: https://doi.org/10.36535/0233-6723-2021-193-33-44
Abstract: In this paper, we examine the existence and uniqueness of solutions for a system of Volterra integral equations with a weakly singular kernel. We approximate the solution of this system using the product integration method. The accuracy and efficiency of this method are illustrated in some numerical examples.
Keywords: nonlinear Volterra integral equation, integro-differential equation, fixed point, product integration method.
Document Type: Article
UDC: 517.968
MSC: 45D05, 65D07, 65R20
Language: Russian
Citation: M. Ghiat, S. Kamouche, A. Khellaf, W. Merchela, “On a system of Volterra integral equations with a weakly singular kernel”, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 4, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 193, VINITI, Moscow, 2021, 33–44
Citation in format AMSBIB
\Bibitem{GhiKamKhe21}
\by M.~Ghiat, S.~Kamouche, A.~Khellaf, W.~Merchela
\paper On a system of Volterra integral equations with a weakly singular kernel
\inbook Proceedings of the Voronezh spring mathematical school
“Modern methods of the theory of boundary-value problems. Pontryagin
readings – XXX”.
Voronezh, May 3-9, 2019. Part 4
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 193
\pages 33--44
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into799}
\crossref{https://doi.org/10.36535/0233-6723-2021-193-33-44}
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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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