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

Mathematical and Computational Applications

Allan, Mohamed M.¹ 

关键词: Newton–Kantorovich approximations;    Nonlinear singular integral equations of Uryson type;    Noether operator;    Carleman shift;   

DOI  :  10.3390/mca16040913

学科分类：计算数学

来源: mdpi

【 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.

【 授权许可】

CC BY