Abstract
We justify direct methods for the approximate solution of systems of singular integral equations with Cauchy kernel on a unit circle in the case of nonnegative partial indices.
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References
N. P. Vekua,Systems of Singular Integral Equations and Certain Boundary-Value Problems [in Russian], Nauka, Moscow (1970).
F. D. Gakhov,Boundary-Value Problems [in Russian], Nauka, Moscow (1977).
K. I. Malyshev and N. Ya. Tikhonenko, “Direct methods for the approximate solution of operator equations with nonzero kernel,”Ukr. Mat. Zh.,50, No. 9, 1202–1213 (1998).
V. V. Ivanov,Theory of Approximation Methods and Its Application to the Numerical Solution of Singular Integral Equations [in Russian], Nauka, Moscow (1968).
N. P. Korneichuk,Exact Constants in Approximation Theory [in Russian], Nauka, Moscow (1986).
B. G. Gabdulkhaev,Optimal Approximations of Solutions of Linear Problems [in Russian], Kazan University, Kazan (1980).
S. Prässdorf,Einige Klassen singulärer Gleichungen, Birkhäuser, Basel (1974).
V. A. Zolotarevskii,Finite-Dimensional Methods for the Solution of Singular Integral Equations on Closed Integration Contours [in Russian], Shtiintsa, Kishinev (1991).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 12, pp. 1638–1644, December, 1999.
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Malyshev, K.I. Direct methods for the approximate solution of systems of singular integral equations in the case of nonnegative partial indices. Ukr Math J 51, 1850–1857 (1999). https://doi.org/10.1007/BF02525142
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DOI: https://doi.org/10.1007/BF02525142