N. S. Gabbasov, R. R. Zamaliev, “A new variant of the subdomain method for integral equations of the third kind with singularities in the kernel”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, Number 5,Pages <nobr>12

This article is cited in 7 papers

A new variant of the subdomain method for integral equations of the third kind with singularities in the kernel

N. S. Gabbasov^a, R. R. Zamaliev^b

^a Chair of Higher Mathematics, Naberezhnye Chelny Branch of Kazan (Volga Region) Federal University, Naberezhnye Chelny, Russia
^b Chair of Theory of Functions and Approximations, Kazan (Volga Region) Federal University, Kazan, 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 propose and justify a new generalized variant of the subdomain method.

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

UDC: 519.642

Received: 04.12.2009