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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 12, Pages 36–45 (Mi ivm9184)  
This article is cited in 2 scientific papers (total in 2 papers)

To numerical solving integral equations of the third kind with singularities in a kernel

N. S. Gabbasova, Z. Kh. Galimovab

a Naberezhnye Chelny Instirute of Kazan (Volga Region) Federal University, 68/19 Mira Ave., Naberezhnye Chelny, 423810 Russia
b Naberezhnye Chelny Branch of Kazan Institute of Economics, Management and Law, 53/02 Vakhitov Ave., Naberezhnye Chelny, 423815 Russia
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Abstract: In this paper we study linear integral equation of the third kind with fixed singularities in a kernel. For the approximate solution of these equations in the space of generalized functions we propose and substantiate special generalized methods.
Keywords: integral equation of the third kind, space of the generalized functions, approximate solution, subdomains method, theoretical substantiation.
Received: 02.04.2015
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, Volume 60, Issue 12, Pages 28–35
DOI: https://doi.org/10.3103/S1066369X16120057
Bibliographic databases:
Document Type: Article
UDC: 519.642
Language: Russian
Citation: N. S. Gabbasov, Z. Kh. Galimova, “To numerical solving integral equations of the third kind with singularities in a kernel”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 12, 36–45; Russian Math. (Iz. VUZ), 60:12 (2016), 28–35
Citation in format AMSBIB
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\by N.~S.~Gabbasov, Z.~Kh.~Galimova
\paper To numerical solving integral equations of the third kind with singularities in a~kernel
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2016
\issue 12
\pages 36--45
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\jour Russian Math. (Iz. VUZ)
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\vol 60
\issue 12
\pages 28--35
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  • https://www.mathnet.ru/eng/ivm/y2016/i12/p36
    • 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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    Full-text PDF :28
    References:21
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