Approximate solution of a certain class of nonlinear singular integral equations.
This paper concerns the sufficient conditions for the applicability of the Newton-Kantorovich method to nonlinear singular integro-differential equation with Hilbert Kernel.
2000 Mathematics Subject Classification: 45F15, 45G10, 46B38. An existence theorem is proved for a class of quasi-linear singular integro-differential equations with Cauchy kernel.
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