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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 7, Pages 49–55 (Mi ivm8910)  
Special version of the subdomain method for a class of integral equations of the third kind in the space of generalized functions

N. S. Gabbasov, S. A. Solov'eva

Chair of Higher Mathematics, Naberezhnye Chelny Branch of Kazan (Volga Region) Federal University, 10a Syuyumbike Ave., Naberezhnye Chelny, 423812 Russia
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Abstract: In this paper we propose and justify special direct methods for the approximate solution of equations of the third kind in the general case of zeros of the coefficient in the space of distributions, based on Kantorovich polynomials.
Keywords: third kind integral equation, space of distributions, approximate solution, theoretical substantiation, subdomain method.
Received: 18.12.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 7, Pages 42–47
DOI: https://doi.org/10.3103/S1066369X14070044
Bibliographic databases:
Document Type: Article
UDC: 519.642
Language: Russian
Citation: N. S. Gabbasov, S. A. Solov'eva, “Special version of the subdomain method for a class of integral equations of the third kind in the space of generalized functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 7, 49–55; Russian Math. (Iz. VUZ), 58:7 (2014), 42–47
Citation in format AMSBIB
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\by N.~S.~Gabbasov, S.~A.~Solov'eva
\paper Special version of the subdomain method for a~class of integral equations of the third kind in the space of generalized functions
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 7
\pages 49--55
\mathnet{http://mi.mathnet.ru/ivm8910}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 7
\pages 42--47
\crossref{https://doi.org/10.3103/S1066369X14070044}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84903749463}
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