A hybrid Krasnosel'skiĭ-Schauder fixed point theorem for systems

We provide new results regarding the localization of the solutions of nonlinear operator systems. We make use of a combination of Krasnosel’skiĭ cone compression–expansion type methodologies and Schauder-type ones. In particular we establish a localization of the solution of the system within the pr...

Descripción completa

Detalles Bibliográficos
Autores: Infante, Gennaro, Mascali, Giovanni, Rodríguez López, Jorge
Tipo de recurso: artículo
Fecha de publicación:2024
País:España
Institución:Universidad de Santiago de Compostela (USC)
Repositorio:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
Idioma:inglés
OAI Identifier:oai:minerva.usc.gal:10347/44609
Acceso en línea:https://hdl.handle.net/10347/44609
Access Level:acceso abierto
Palabra clave:Fixed point index
Fixed point theorem
Operator system
Hammerstein system
id ES_fe4d74254deff545a60a2f897bbf596c
oai_identifier_str oai:minerva.usc.gal:10347/44609
network_acronym_str ES
network_name_str España
repository_id_str
spelling A hybrid Krasnosel'skiĭ-Schauder fixed point theorem for systemsInfante, GennaroMascali, GiovanniRodríguez López, JorgeFixed point indexFixed point theoremOperator systemHammerstein systemWe provide new results regarding the localization of the solutions of nonlinear operator systems. We make use of a combination of Krasnosel’skiĭ cone compression–expansion type methodologies and Schauder-type ones. In particular we establish a localization of the solution of the system within the product of a conical shell and of a closed convex set. By iterating this procedure we prove the existence of multiple solutions. We illustrate our theoretical results by applying them to the solvability of systems of Hammerstein integral equations. In the case of two specific boundary value problems and with given nonlinearities, we are also able to obtain a numerical solution, consistent with our theoretical resultsElsevierUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización20242024-06-2420242024-06-24journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10347/44609reponame:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostelainstname:Universidad de Santiago de Compostela (USC)InglésengAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2020-113275GBI00open accesshttp://purl.org/coar/access_right/c_abf2© 2024 The Author(s). Published by Elsevier Ltd. This is an open access article distributed under the terms of the Creative Commons CC-BY licensehttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:minerva.usc.gal:10347/446092026-06-15T12:47:27Z
dc.title.none.fl_str_mv A hybrid Krasnosel'skiĭ-Schauder fixed point theorem for systems
title A hybrid Krasnosel'skiĭ-Schauder fixed point theorem for systems
spellingShingle A hybrid Krasnosel'skiĭ-Schauder fixed point theorem for systems
Infante, Gennaro
Fixed point index
Fixed point theorem
Operator system
Hammerstein system
title_short A hybrid Krasnosel'skiĭ-Schauder fixed point theorem for systems
title_full A hybrid Krasnosel'skiĭ-Schauder fixed point theorem for systems
title_fullStr A hybrid Krasnosel'skiĭ-Schauder fixed point theorem for systems
title_full_unstemmed A hybrid Krasnosel'skiĭ-Schauder fixed point theorem for systems
title_sort A hybrid Krasnosel'skiĭ-Schauder fixed point theorem for systems
dc.creator.none.fl_str_mv Infante, Gennaro
Mascali, Giovanni
Rodríguez López, Jorge
author Infante, Gennaro
author_facet Infante, Gennaro
Mascali, Giovanni
Rodríguez López, Jorge
author_role author
author2 Mascali, Giovanni
Rodríguez López, Jorge
author2_role author
author
dc.contributor.none.fl_str_mv Universidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización
dc.subject.none.fl_str_mv Fixed point index
Fixed point theorem
Operator system
Hammerstein system
topic Fixed point index
Fixed point theorem
Operator system
Hammerstein system
description We provide new results regarding the localization of the solutions of nonlinear operator systems. We make use of a combination of Krasnosel’skiĭ cone compression–expansion type methodologies and Schauder-type ones. In particular we establish a localization of the solution of the system within the product of a conical shell and of a closed convex set. By iterating this procedure we prove the existence of multiple solutions. We illustrate our theoretical results by applying them to the solvability of systems of Hammerstein integral equations. In the case of two specific boundary value problems and with given nonlinearities, we are also able to obtain a numerical solution, consistent with our theoretical results
publishDate 2024
dc.date.none.fl_str_mv 2024
2024-06-24
2024
2024-06-24
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/10347/44609
url https://hdl.handle.net/10347/44609
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2020-113275GBI00
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
http://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
instname:Universidad de Santiago de Compostela (USC)
instname_str Universidad de Santiago de Compostela (USC)
reponame_str Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
collection Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869425672746696704
score 15,81155

Similares en LA Referencia