This article is cited in 4 papers

The Hilbert boundary-value problem with a finite index and a countable set of jump discontinuities in coefficients

R. B. Salimov, P. L. Shabalin

Chair of Higher Mathematics, Kazan State Architecture and Building University, Kazan, Russia

Abstract: We consider the Hilbert boundary-value problem with a finite index for the case, when the coefficients in the boundary condition have two infinite sequences of discontinuity points of the first kind. We obtain a formula for the general solution and study the solvability issues.

Keywords: Hilbert boundary-value problem, finite index, Schwarz problem.

UDC: 517.54

Received: 25.12.2007

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2010, 54:3, 31–41

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