Newton–Kantorovich approximations to nonlinear singular integral equation with shift

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摘要

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.

论文关键词:Newton–Kantorovich approximations,Nonlinear singular integral equations of Uryson type,Noether operator,Carleman shift,Generalized Holder space

论文评审过程:Available online 5 May 2011.

论文官网地址:https://doi.org/10.1016/j.amc.2011.03.158