On the Application of New Convergence Criteria for Kantorovich Method to Nonlinear Singular Integral Equation with Shift

Mohamed M. Allan; Smah M. Dardery

doi:10.3390/mca16040913

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Article

1 December 2011

On the Application of New Convergence Criteria for Kantorovich Method to Nonlinear Singular Integral Equation with Shift

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Department of Mathematics, Faculty of Education (Al Mahara), Hadramut University of Science and Technology, Yemen

Author to whom correspondence should be addressed.

Math. Comput. Appl.2011, 16(4), 913-922;https://doi.org/10.3390/mca16040913

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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

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