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

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

Department of Mathematics, Faculty of Education (Al Mahara), Hadramut University of Science and Technology, Yemen
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Published: 1 December 2011
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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 Newton–Kantorovich approximations; Nonlinear singular integral equations of Uryson type; Noether operator; Carleman shift
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

Allan, M.M.; Dardery, S.M. On the Application of New Convergence Criteria for Kantorovich Method to Nonlinear Singular Integral Equation with Shift. Math. Comput. Appl. 2011, 16, 913-922.

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