Fixed point index for discontinuous operators and fi xed point theorems in cones with applications

We obtain a new fixed point index theory for a class of not necessarily continuous operators in cones. We employ this tool to prove a discontinuous version of Leggett–Williams’ fixed point theorem. Finally, we establish new existence and multiplicity criteria for a second-order three point BVP with...

Descripción completa

Detalles Bibliográficos
Autores: Figueroa Sestelo, Rubén, López Pouso, Rodrigo, Rodríguez López, Jorge
Tipo de recurso: artículo
Fecha de publicación:2020
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:10347/44637
Acceso en línea:https://hdl.handle.net/10347/44637
Access Level:acceso abierto
Palabra clave:Fixed point index theory
Leggett–Williams theorem
Discontinuous differential equations
id ES_e4f7cebbbc54f8af9e2c1e5b116a490a
oai_identifier_str oai:minerva.usc.gal:10347/44637
network_acronym_str ES
network_name_str España
repository_id_str
spelling Fixed point index for discontinuous operators and fi xed point theorems in cones with applicationsFigueroa Sestelo, RubénLópez Pouso, RodrigoRodríguez López, JorgeFixed point index theoryLeggett–Williams theoremDiscontinuous differential equationsWe obtain a new fixed point index theory for a class of not necessarily continuous operators in cones. We employ this tool to prove a discontinuous version of Leggett–Williams’ fixed point theorem. Finally, we establish new existence and multiplicity criteria for a second-order three point BVP with discontinuous nonlinearities.SpringerUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización20202020-01-0120202020-01-01journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10347/44637reponame: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 2013 MTM2013-43014-P ECUACIONES DIFERENCIALES ORDINARIAS NO LINEALESopen accesshttp://purl.org/coar/access_right/c_abf2Copyright © 2020, Springer Nature Switzerland AGhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:minerva.usc.gal:10347/446372026-06-15T12:47:27Z
dc.title.none.fl_str_mv Fixed point index for discontinuous operators and fi xed point theorems in cones with applications
title Fixed point index for discontinuous operators and fi xed point theorems in cones with applications
spellingShingle Fixed point index for discontinuous operators and fi xed point theorems in cones with applications
Figueroa Sestelo, Rubén
Fixed point index theory
Leggett–Williams theorem
Discontinuous differential equations
title_short Fixed point index for discontinuous operators and fi xed point theorems in cones with applications
title_full Fixed point index for discontinuous operators and fi xed point theorems in cones with applications
title_fullStr Fixed point index for discontinuous operators and fi xed point theorems in cones with applications
title_full_unstemmed Fixed point index for discontinuous operators and fi xed point theorems in cones with applications
title_sort Fixed point index for discontinuous operators and fi xed point theorems in cones with applications
dc.creator.none.fl_str_mv Figueroa Sestelo, Rubén
López Pouso, Rodrigo
Rodríguez López, Jorge
author Figueroa Sestelo, Rubén
author_facet Figueroa Sestelo, Rubén
López Pouso, Rodrigo
Rodríguez López, Jorge
author_role author
author2 López Pouso, Rodrigo
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 theory
Leggett–Williams theorem
Discontinuous differential equations
topic Fixed point index theory
Leggett–Williams theorem
Discontinuous differential equations
description We obtain a new fixed point index theory for a class of not necessarily continuous operators in cones. We employ this tool to prove a discontinuous version of Leggett–Williams’ fixed point theorem. Finally, we establish new existence and multiplicity criteria for a second-order three point BVP with discontinuous nonlinearities.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020-01-01
2020
2020-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/10347/44637
url https://hdl.handle.net/10347/44637
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 2013 MTM2013-43014-P ECUACIONES DIFERENCIALES ORDINARIAS NO LINEALES
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Copyright © 2020, Springer Nature Switzerland AG
http://creativecommons.org/licenses/by-nc-nd/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
Copyright © 2020, Springer Nature Switzerland AG
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
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_ 1869422638103789568
score 15.81155

Similares en LA Referencia