This article is cited in 1 paper

Solution of certain weakly singular integral equations of the first kind with indefinite parameters

L. A. Surai

Chair of Theory of Electrical Engineering, Kazan State Energy University, Kazan, Russia

Abstract: In this paper we study a two-dimensional weakly singular integral equation of the first kind with a logarithmic kernel. We construct a pair of spaces of the desired elements and the right-hand sides, where we prove the correctness of the problem under consideration and obtain inversion formulas for the integral operator.

Keywords: two-dimensional integral equation of the first kind, logarithmic kernel, inversion formulas for an integral operator.

UDC: 517.968

Received: 09.04.2007

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2009, 53:6, 44–48

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