This article is cited in 2 papers

Special variant of subdomain method for intergal equations of the third kind with singularities in a kernel

N. S. Gabbasov^a, R. R. Zamaliev<sup>b

a</sup> Chair of Higher Mathematics, Naberezhnye Chelny Branch of Kazan (Volga Region) Federal University, 10a Syuyumbike Ave., Naberezhnye Chelny, 423812 Russia
^b Chair of Function Theory and Approximations, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia

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 substantiate a new variant of the subdomain method.

Keywords: integral equations of the third kind, space of generalized functions, approximate solution, subdomain method.

UDC: 519.642

Received: 09.04.2013

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2014, 58:10, 15–21

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