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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 10, Pages 19–26 (Mi ivm8937)  

This article is cited in 2 scientific papers (total in 2 papers)

Special variant of subdomain method for intergal equations of the third kind with singularities in a kernel

N. S. Gabbasova, R. R. Zamalievb

a Chair of Higher Mathematics, Naberezhnye Chelny Branch of Kazan (Volga Region) Federal University, 10a Syuyumbike Ave., Naberezhnye Chelny, 423812 Russia
b Chair of Function Theory and Approximations, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
Full-text PDF (190 kB) Citations (2)
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Abstract: In this paper we study integral equations of the third kind with fixed singularities in the kernel. For the approximate solution of these equations in the space of generalized functions we substantiate a new variant of the subdomain method.
Keywords: integral equations of the third kind, space of generalized functions, approximate solution, subdomain method.
Received: 09.04.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 10, Pages 15–21
DOI: https://doi.org/10.3103/S1066369X1410003X
Bibliographic databases:
Document Type: Article
UDC: 519.642
Language: Russian
Citation: N. S. Gabbasov, R. R. Zamaliev, “Special variant of subdomain method for intergal equations of the third kind with singularities in a kernel”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 10, 19–26; Russian Math. (Iz. VUZ), 58:10 (2014), 15–21
Citation in format AMSBIB
\Bibitem{GabZam14}
\by N.~S.~Gabbasov, R.~R.~Zamaliev
\paper Special variant of subdomain method for intergal equations of the third kind with singularities in a~kernel
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 10
\pages 19--26
\mathnet{http://mi.mathnet.ru/ivm8937}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 10
\pages 15--21
\crossref{https://doi.org/10.3103/S1066369X1410003X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84906883805}
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  • https://www.mathnet.ru/eng/ivm/y2014/i10/p19
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Abstract page:145
    Full-text PDF :44
    References:43
    First page:5
     
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