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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2015 Number 9, Pages 46–55 (Mi ivm9034)

On one polynomial method of solving integral equations of the third kind

S. A. Solov'eva

Chair of Mathematics, Naberezhnye Chelny Institute of Kazan (Volga Region) Federal University, 68/19 Mira Ave., Naberezhnye Chelny, 423810 Russia

Abstract: We propose and substantiate special variant of the method of collocation-subdomains for approximate solving integral equations of the third kind in the general case of zeros of the coefficient in the space of distributions.

Keywords: integral equation of the third kind, space of distributions, approximate solution, theoretical substantiation, collocation-subdomain method.

UDC: 519.642

Received: 19.10.2013


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2015, 59:9, 38–46

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© Steklov Math. Inst. of RAS, 2026