Approximate Solution for a Class of Two-Dimensional Nonlinear Singular Integral Equations by the Contraction Mapping Method

N. F. Gasymova

Baku State University

Abstract: We obtain solutions for a class of two-dimensional nonlinear singular integral equations with Hilbert kernel using the contraction mapping method and find the rate of convergence of successive approximations to the exact solution.

Keywords: nonlinear singular integral equation, contraction mapping method, singular integral, Hilbert kernel, Banach space.

UDC: 517.968.43

Received: 12.11.2010

DOI: 10.4213/mzm9855

 English version: Mathematical Notes, 2012, 92:3, 356–361

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