On a class of systems of singular integral equations on a bounded domain-Reference-Cited by-同舟云学术

On a class of systems of singular integral equations on a bounded domain

Published:1979 Issue:3-4 Volume:83 Page:347-364
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Džuraev A.

Abstract

SynopsisA class of systems of two-dimensional singular integral equations with even kernels over bounded domains in the plane is studied. The applications include integral equations with the Bergman kernel function. The method of investigation is the following: the integral equation is reduced to a Riemann type boundary value problem for a first order elliptic system. This is solved by means of one-dimensional singular integral equations over the boundary curve. An adjoint problem is formulated, the Noetherian theorems are established, and a formula for the index is given.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference9 articles.

1. The boundary-value problem for a first order elliptic system in the plane;Vinogradov;Differential Equations,1971

2. On a method of investigating singular integral equations in a bounded plane region;Džuraev;Soviet Math. Dokl.,1971

3. 3 Bojarski B. . Investigations of elliptic systems in the plane (Doctoral dissertation, Moscow, 1960) (Russian).

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