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Newton-Kantorovich approximations to nonlinear singular integral equation with shift
Authors:Samah M Dardery
Institution:Mathematical Department, Faculty of Science, Zagazig University, Zagazig, EGYPT
Abstract:The paper is concerned with the applicability of some new conditions for the convergence of Newton-kantorovich approximations to solution of nonlinear singular integral equation with shift of Uryson type. The results are illustrated in generalized Holder space.
Keywords:Newton-Kantorovich approximations  Nonlinear singular integral equations of Uryson type  Noether operator  Carleman shift  Generalized Holder space
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