Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




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

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 5, Pages 824–839
DOI: https://doi.org/10.7868/S0044466916050069 (Mi zvmmf10396) 		 
This article is cited in 3 scientific papers (total in 3 papers)

To the theory of Volterra integral equations of the first kind with discontinuous kernels

A. S. Apartsin

L. A. Melentiev Energy Systems Institute, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (309 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.7868/S0044466916050069
Abstract: A nonclassical Volterra linear integral equation of the first kind describing the dynamics of an developing system with allowance for its age structure is considered. The connection of this equation with the classical Volterra linear integral equation of the first kind with a piecewise-smooth kernel is studied. For solving such equations, the quadrature method is applied.
Key words: developing system, age structure, Volterra linear integral equation of the first kind, piecewise-smooth kernel, quadrature method.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-01425_а
Received: 21.07.2015
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 5, Pages 810–825
DOI: https://doi.org/10.1134/S0965542516050067
Bibliographic databases:
Document Type: Article
UDC: 519.642
Language: Russian
Citation: A. S. Apartsin, “To the theory of Volterra integral equations of the first kind with discontinuous kernels”, Zh. Vychisl. Mat. Mat. Fiz., 56:5 (2016), 824–839; Comput. Math. Math. Phys., 56:5 (2016), 810–825
Citation in format AMSBIB
\Bibitem{Apa16}
\by A.~S.~Apartsin
\paper To the theory of Volterra integral equations of the first kind with discontinuous kernels
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2016
\vol 56
\issue 5
\pages 824--839
\mathnet{http://mi.mathnet.ru/zvmmf10396}
\crossref{https://doi.org/10.7868/S0044466916050069}
\elib{https://elibrary.ru/item.asp?id=26068762}
\transl
\jour Comput. Math. Math. Phys.
\yr 2016
\vol 56
\issue 5
\pages 810--825
\crossref{https://doi.org/10.1134/S0965542516050067}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000377419200009}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84974601864}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf10396
  • https://www.mathnet.ru/eng/zvmmf/v56/i5/p824
    • 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
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024