Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (262 kB) Citations (3)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/into799
  • https://www.mathnet.ru/eng/into/v193/p33
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025