Abstract
We justify direct methods for the approximate solution of linear operator equations with nonzero kernels and apply these methods to the justification of projective methods for the approximate solution of standard singular integral equations with Cauchy kernels and positive index on the unit disk.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 9, pp. 1202–1213, September, 1998.
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Malyshev, K.I., Tikhonenko, N.Y. Direct methods for the approximate solution of operator equations with nonzero kernel. Ukr Math J 50, 1376–1388 (1998). https://doi.org/10.1007/BF02525244
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DOI: https://doi.org/10.1007/BF02525244