Existence of solutions for nth-order nonlinear differential boundary value problems by means of fixed point theorems

This paper is devoted to prove the existence of one or multiple solutions of a wide range of nonlinear differential boundary value problems. To this end, we obtain some new fixed point theorems for a class of integral operators. We follow the well-known Krasnoselskiĭ’s fixed point Theorem together w...

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Detalles Bibliográficos
Autores: Cabada Fernández, Alberto, Saavedra López, Lorena
Tipo de recurso: artículo
Fecha de publicación:2018
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:10347/44931
Acceso en línea:https://hdl.handle.net/10347/44931
Access Level:acceso abierto
Palabra clave:Green’s functions
Fixed point theorems
Nonlinear boundary value problems
1202 Análisis y análisis funcional
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spelling Existence of solutions for nth-order nonlinear differential boundary value problems by means of fixed point theoremsCabada Fernández, AlbertoSaavedra López, LorenaGreen’s functionsFixed point theoremsNonlinear boundary value problems1202 Análisis y análisis funcionalThis paper is devoted to prove the existence of one or multiple solutions of a wide range of nonlinear differential boundary value problems. To this end, we obtain some new fixed point theorems for a class of integral operators. We follow the well-known Krasnoselskiĭ’s fixed point Theorem together with two fixed point results of Leggett–Williams type. After obtaining a general existence result for a one parameter family of nonlinear differential equations, are proved, as particular cases, existence results for second and fourth order nonlinear boundary value problems.ElsevierUniversidade de Santiago de Compostela. Departamento de Análise Matemática20182018-08-0120182018-08-01journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10347/44931reponame:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostelainstname:Universidad de Santiago de Compostela (USC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:minerva.usc.gal:10347/449312026-06-15T12:47:27Z
dc.title.none.fl_str_mv Existence of solutions for nth-order nonlinear differential boundary value problems by means of fixed point theorems
title Existence of solutions for nth-order nonlinear differential boundary value problems by means of fixed point theorems
spellingShingle Existence of solutions for nth-order nonlinear differential boundary value problems by means of fixed point theorems
Cabada Fernández, Alberto
Green’s functions
Fixed point theorems
Nonlinear boundary value problems
1202 Análisis y análisis funcional
title_short Existence of solutions for nth-order nonlinear differential boundary value problems by means of fixed point theorems
title_full Existence of solutions for nth-order nonlinear differential boundary value problems by means of fixed point theorems
title_fullStr Existence of solutions for nth-order nonlinear differential boundary value problems by means of fixed point theorems
title_full_unstemmed Existence of solutions for nth-order nonlinear differential boundary value problems by means of fixed point theorems
title_sort Existence of solutions for nth-order nonlinear differential boundary value problems by means of fixed point theorems
dc.creator.none.fl_str_mv Cabada Fernández, Alberto
Saavedra López, Lorena
author Cabada Fernández, Alberto
author_facet Cabada Fernández, Alberto
Saavedra López, Lorena
author_role author
author2 Saavedra López, Lorena
author2_role author
dc.contributor.none.fl_str_mv Universidade de Santiago de Compostela. Departamento de Análise Matemática
dc.subject.none.fl_str_mv Green’s functions
Fixed point theorems
Nonlinear boundary value problems
1202 Análisis y análisis funcional
topic Green’s functions
Fixed point theorems
Nonlinear boundary value problems
1202 Análisis y análisis funcional
description This paper is devoted to prove the existence of one or multiple solutions of a wide range of nonlinear differential boundary value problems. To this end, we obtain some new fixed point theorems for a class of integral operators. We follow the well-known Krasnoselskiĭ’s fixed point Theorem together with two fixed point results of Leggett–Williams type. After obtaining a general existence result for a one parameter family of nonlinear differential equations, are proved, as particular cases, existence results for second and fourth order nonlinear boundary value problems.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-08-01
2018
2018-08-01
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/10347/44931
url https://hdl.handle.net/10347/44931
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
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
Attribution-NonCommercial-NoDerivatives 4.0 International
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 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
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score 15.81155

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