Dergiler / Mathematical and Computational Applications / 2005 / Cilt: 10 - Sayı: 2

On the modified Newton' s method for the solution of a class of nonlinear singular integro-differential equations

On the modified Newton' s method for the solution of a class of nonlinear singular integro-differential equations

A. A. M. HASSAN, A.H. RADWAN, S. M. AMER

Sayfa
269–281
DOI
—

Abstract

In this paper we investigate the solvability of a certain class of nonlinear singular integro-differential equations with Cauchy kernel in the usual Holder space and its generalization by producing the sufficient conditions for the convergence of the modified Newton's method.