Approximate solution of a certain class of nonlinear singular integral equations
type: Item
instance of: scholarly article
title: Approximate solution of a certain class of nonlinear singular integral equations
zbMATH Open document ID: 0666.65095
published in: Collectanea Mathematica
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/38962
review text: The authors consider nonlinear singular integral equation of the form \[ (*)\quad u(y)=\lambda /2\pi \int^{2\pi}_{0}F(y,s,u(s))\cot (s- y)/2\quad ds. \] They obtain solutions of (*) in generalized Hölder spaces by the method of successive approximations. The rate of convergence for the approximate solution of (*) is determined.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45G05
zbMATH DE Number: 4090751
zbMATH Keywords: Hilbert kernel
zbMATH Keywords: nonlinear singular integral equation
zbMATH Keywords: Hölder spaces
zbMATH Keywords: method of successive approximations
zbMATH Keywords: rate of convergence
author: M. H. Saleh
author: S. M. Amer
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4090751