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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 5, Pages 12–18 (Mi ivm7298)  
This article is cited in 7 scientific papers (total in 7 papers)

A new variant of the subdomain method for integral equations of the third kind with singularities in the kernel

N. S. Gabbasova, R. R. Zamalievb

a Chair of Higher Mathematics, Naberezhnye Chelny Branch of Kazan (Volga Region) Federal University, Naberezhnye Chelny, Russia
b Chair of Theory of Functions and Approximations, Kazan (Volga Region) Federal University, Kazan, Russia
Full-text PDF (188 kB) Citations (7)
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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 propose and justify a new generalized variant of the subdomain method.
Keywords: integral equations of the third kind, space of generalized functions, approximate solution, subdomain method, theoretical justification.
Received: 04.12.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 5, Pages 8–13
DOI: https://doi.org/10.3103/S1066369X11050021
Bibliographic databases:
Document Type: Article
UDC: 519.642
Language: Russian
Citation: N. S. Gabbasov, R. R. Zamaliev, “A new variant of the subdomain method for integral equations of the third kind with singularities in the kernel”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 5, 12–18; Russian Math. (Iz. VUZ), 55:5 (2011), 8–13
Citation in format AMSBIB
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\by N.~S.~Gabbasov, R.~R.~Zamaliev
\paper A new variant of the subdomain method for integral equations of the third kind with singularities in the kernel
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 5
\pages 12--18
\mathnet{http://mi.mathnet.ru/ivm7298}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2920084}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 5
\pages 8--13
\crossref{https://doi.org/10.3103/S1066369X11050021}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80051608666}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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