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IMI/Publicaţii/BASM/Ediţii/BASM n.3 (37), 2001/

Convergence of collocation and quadratures methods for solving systems of nonlinear singular integral equations given on closed smooth contour.

Authors: Seichiuc V.

Abstract

In this paper, in generalized Hölder and Lebesque spaces we propose a theoretical justification of collocation and quadratures methods for approximate solving of systems of nonlinear singular integral equations (SNSIE) given on a closed smooth contour of integration in the complex plane. The case of one equation was investigated in the works [1, 2]. The theoretical justifications of these methods in classical Hölder spaces for solving SNSIE are obtained in the works [3, 4].

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