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, 2019, Volume 59, Number 2, Pages 252–263
DOI: https://doi.org/10.1134/S0044466919020169 (Mi zvmmf10833) 		 
This article is cited in 37 scientific papers (total in 37 papers)

On the solvability of a boundary value problem for the ordinary Fredholm integrodifferential equation with a degenerate kernel

T. K. Yuldashev

Siberian State University of Science and Technology, Krasnoyarsk, 660014, Russia
Citations (37)
References:
PDF
HTML
DOI: https://doi.org/10.1134/S0044466919020169
Abstract: The problems of the existence and construction of solutions of a nonlocal boundary value problem for the homogeneous second-order Fredholm integrodifferential equation with a degenerate kernel and with two spectral parameters are considered. The singularities arising from the definition of arbitrary (unknown) constants are studied. The values of the spectral parameters are calculated and the solvability of the boundary value problem is established. The corresponding theorems are proven. Meaningful examples are provided.
Key words: integrodifferential equation, boundary value problem, degenerate kernel, solvability, spectral parameters.
Received: 10.10.2017
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 2, Pages 241–252
DOI: https://doi.org/10.1134/S0965542519020167
Bibliographic databases:
Document Type: Article
UDC: 517.968
Language: Russian
Citation: T. K. Yuldashev, “On the solvability of a boundary value problem for the ordinary Fredholm integrodifferential equation with a degenerate kernel”, Zh. Vychisl. Mat. Mat. Fiz., 59:2 (2019), 252–263; Comput. Math. Math. Phys., 59:2 (2019), 241–252
Citation in format AMSBIB
\Bibitem{Yul19}
\by T.~K.~Yuldashev
\paper On the solvability of a boundary value problem for the ordinary Fredholm integrodifferential equation with a degenerate kernel
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2019
\vol 59
\issue 2
\pages 252--263
\mathnet{http://mi.mathnet.ru/zvmmf10833}
\crossref{https://doi.org/10.1134/S0044466919020169}
\elib{https://elibrary.ru/item.asp?id=36962811}
\transl
\jour Comput. Math. Math. Phys.
\yr 2019
\vol 59
\issue 2
\pages 241--252
\crossref{https://doi.org/10.1134/S0965542519020167}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000468087400007}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85065972358}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf10833
  • https://www.mathnet.ru/eng/zvmmf/v59/i2/p252
    • This publication is cited in the following 37 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
    Statistics & downloads:
    Abstract page:492
    References:23
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024