On the existence of solutions of nonlinear Fredholm integral equations from Kantorovich's technique

The well-known Kantorovich technique based on majorizing sequences is used to analyse the convergence of Newton's method when it is used to solve nonlinear Fredholm integral equations. In addition, we obtain information about the domains of existence and uniqueness of a solution for these equat...

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Detalles Bibliográficos
Autores: Ezquerro, J.A. [0000-0001-8120-167X], Hernández-Verón, M. [0000-0001-5478-2958]
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2017
País:España
Institución:Universidad de La Rioja (UR)
Repositorio:RIUR. Repositorio Institucional de la Universidad de La Rioja
OAI Identifier:oai:portal.dialnet.es:doc/5bbc6957b750603269e81968
Acceso en línea:https://investigacion.unirioja.es/documentos/5bbc6957b750603269e81968
Access Level:acceso abierto
Palabra clave:Convergence
Domain of existence of a solution
Domain of uniqueness of a solution
Fredholm integral equation
Kantorovich's technique
Newton's method
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spelling On the existence of solutions of nonlinear Fredholm integral equations from Kantorovich's techniqueEzquerro, J.A. [0000-0001-8120-167X]Hernández-Verón, M. [0000-0001-5478-2958]ConvergenceDomain of existence of a solutionDomain of uniqueness of a solutionFredholm integral equationKantorovich's techniqueNewton's methodThe well-known Kantorovich technique based on majorizing sequences is used to analyse the convergence of Newton's method when it is used to solve nonlinear Fredholm integral equations. In addition, we obtain information about the domains of existence and uniqueness of a solution for these equations. Finally, we illustrate the above with two particular Fredholm integral equations. © 2017 by the authors.2017info:eu-repo/semantics/articleSubtype: Articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://investigacion.unirioja.es/documentos/5bbc6957b750603269e81968reponame:RIUR. Repositorio Institucional de la Universidad de La Riojainstname:Universidad de La Rioja (UR)Inglésinfo:eu-repo/semantics/altIdentifier/doi/10.3390/A10030089info:eu-repo/semantics/altIdentifier/wos/WOS:000411976600018info:eu-repo/semantics/altIdentifier/pissn/1999-4893On the existence of solutions of nonlinear Fredholm integral equations from Kantorovich's technique, 2017, vol. 10, núm. 3info:eu-repo/semantics/openAccessoai:portal.dialnet.es:doc/5bbc6957b750603269e819682026-06-14T12:47:17Z
dc.title.none.fl_str_mv On the existence of solutions of nonlinear Fredholm integral equations from Kantorovich's technique
title On the existence of solutions of nonlinear Fredholm integral equations from Kantorovich's technique
spellingShingle On the existence of solutions of nonlinear Fredholm integral equations from Kantorovich's technique
Ezquerro, J.A. [0000-0001-8120-167X]
Convergence
Domain of existence of a solution
Domain of uniqueness of a solution
Fredholm integral equation
Kantorovich's technique
Newton's method
title_short On the existence of solutions of nonlinear Fredholm integral equations from Kantorovich's technique
title_full On the existence of solutions of nonlinear Fredholm integral equations from Kantorovich's technique
title_fullStr On the existence of solutions of nonlinear Fredholm integral equations from Kantorovich's technique
title_full_unstemmed On the existence of solutions of nonlinear Fredholm integral equations from Kantorovich's technique
title_sort On the existence of solutions of nonlinear Fredholm integral equations from Kantorovich's technique
dc.creator.none.fl_str_mv Ezquerro, J.A. [0000-0001-8120-167X]
Hernández-Verón, M. [0000-0001-5478-2958]
author Ezquerro, J.A. [0000-0001-8120-167X]
author_facet Ezquerro, J.A. [0000-0001-8120-167X]
Hernández-Verón, M. [0000-0001-5478-2958]
author_role author
author2 Hernández-Verón, M. [0000-0001-5478-2958]
author2_role author
dc.subject.none.fl_str_mv Convergence
Domain of existence of a solution
Domain of uniqueness of a solution
Fredholm integral equation
Kantorovich's technique
Newton's method
topic Convergence
Domain of existence of a solution
Domain of uniqueness of a solution
Fredholm integral equation
Kantorovich's technique
Newton's method
description The well-known Kantorovich technique based on majorizing sequences is used to analyse the convergence of Newton's method when it is used to solve nonlinear Fredholm integral equations. In addition, we obtain information about the domains of existence and uniqueness of a solution for these equations. Finally, we illustrate the above with two particular Fredholm integral equations. © 2017 by the authors.
publishDate 2017
dc.date.none.fl_str_mv 2017
dc.type.none.fl_str_mv info:eu-repo/semantics/article
Subtype: Article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://investigacion.unirioja.es/documentos/5bbc6957b750603269e81968
url https://investigacion.unirioja.es/documentos/5bbc6957b750603269e81968
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.3390/A10030089
info:eu-repo/semantics/altIdentifier/wos/WOS:000411976600018
info:eu-repo/semantics/altIdentifier/pissn/1999-4893
On the existence of solutions of nonlinear Fredholm integral equations from Kantorovich's technique, 2017, vol. 10, núm. 3
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:RIUR. Repositorio Institucional de la Universidad de La Rioja
instname:Universidad de La Rioja (UR)
instname_str Universidad de La Rioja (UR)
reponame_str RIUR. Repositorio Institucional de la Universidad de La Rioja
collection RIUR. Repositorio Institucional de la Universidad de La Rioja
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.198674

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