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, Number 7,Pages <nobr>49

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

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.

UDC: 519.642

Received: 18.12.2012