Newton-Kantorovich approximations to nonlinear singular integral equation with shift

Faculty	Science	Year:	2011
Type of Publication:	Article	Pages:	8873-8882
Authors:	Dardery, Samah M	DOI:	10.1016/j.amc.2011.03.158
Journal:	APPLIED MATHEMATICS AND COMPUTATION ELSEVIER SCIENCE INC	Volume:	217
Research Area:	Mathematics	ISSN	ISI:000290902600001
Keywords :	Newton-Kantorovich approximations, Nonlinear singular integral equations of Uryson type, Noether operator, Carleman shift, Generalized Holder space
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. (C) 2011 Elsevier Inc. All rights reserved.
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