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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 19 (1996), Issue 2, Pages 389-396
doi:10.1155/S0161171296000531

On the approximate solution of nonlinear singular integral equations with positive index

S.M. Amer

Department of Mathematics, Faculty of Science, Zagazig University, Egypt

Abstract

This paper is devoted to investigating a class of nonlinear singular integral equations with a positive index on a simple closed smooth Jordan curve by the collocation method. Sufficient conditions are given for the convergence of this method in Holder space.