We investigate in this paper problems of theoretical foundation of collocations and mechanical quadratures methods for approximate solution of singular integral equation systems in the case, when their symbols have on the integration contour a finite set of integer degree zeroes.
We consider the case when equation digitalization points are taken in such a way that each point of the contour can be included in the set of points.
The proposed methods converge in Lebesgue spaces Lp
Faculty of Mathematics and Informatics
Moldova State University
str. Mateevici, 60
Republic of Moldova
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