Nonlinear Fredholm integral equations and majorant functions
type: Item
instance of: scholarly article
title: Nonlinear Fredholm integral equations and majorant functions
zbMATH Open document ID: 1432.45004
published in: Numerical Algorithms
publication date: 2019-11-27T00:00:00Z
review text: The paper provides a study of a theoretical approximation method for a class of nonlinear Fredholm equations. The approach is based on an iterative scheme that makes use of majorizing sequence techniques and the Newton-Kantorovich theorem. The analysis is relatively deep; it includes questions regarding the existence and the uniqueness of the solution as well as numerical examples.
reviewed by: Kai Diethelm
Mathematics Subject Classification ID: 45G10
Mathematics Subject Classification ID: 45B05
Mathematics Subject Classification ID: 65R20
zbMATH DE Number: 7137012
zbMATH Keywords: Fredholm integral equation
zbMATH Keywords: Newton's method
zbMATH Keywords: majorant function
zbMATH Keywords: domain of existence of solution
zbMATH Keywords: domain of uniqueness of solution
zbMATH Keywords: error estimates
author: J. A. Ezquerro
author: Miguel A. Hernández Verón
MaRDI profile type: Publication
full work available at URL: s11075-019-00656-3
OpenAlex ID: W2909474457
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Wikidata QID: Q128606502
DOI: 10.1007/S11075-019-00656-3
description: scientific article; zbMATH DE number 7137012