Existence of Solutions of Nonlocal Perturbations of Dirichlet Discrete Nonlinear Problems

This paper is devoted to the study of second order nonlinear difference equations. A Nonlocal Perturbation of a Dirichlet Boundary Value Problem is considered. An exhaustive study of the related Green's function to the linear part is done. The exact expression of the function is given, moreover...

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Detalles Bibliográficos
Autores: Cabada Fernández, Alberto, Dimitrov, Nikolay
Tipo de recurso: artículo
Fecha de publicación:2017
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:10347/45455
Acceso en línea:https://hdl.handle.net/10347/45455
Access Level:acceso abierto
Palabra clave:Dirichlet boundary value problem
Nonlocal perturbations
Green's function
Parameter dependence
1202 Análisis y análisis funcional
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spelling Existence of Solutions of Nonlocal Perturbations of Dirichlet Discrete Nonlinear ProblemsCabada Fernández, AlbertoDimitrov, NikolayDirichlet boundary value problemNonlocal perturbationsGreen's functionParameter dependence1202 Análisis y análisis funcionalThis paper is devoted to the study of second order nonlinear difference equations. A Nonlocal Perturbation of a Dirichlet Boundary Value Problem is considered. An exhaustive study of the related Green's function to the linear part is done. The exact expression of the function is given, moreover the range of parameter for which it has constant sign is obtained. Using this, some existence results for the nonlinear problem are deduced from monotone iterative techniques, the classical Krasnoselski fixed point theorem or by application of recent fixed point theorems that combine both theories.ElsevierUniversidade de Santiago de Compostela. Departamento de Análise Matemática20172017-07-0120172017-07-01journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10347/45455reponame: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:10347/454552026-06-15T12:47:27Z
dc.title.none.fl_str_mv Existence of Solutions of Nonlocal Perturbations of Dirichlet Discrete Nonlinear Problems
title Existence of Solutions of Nonlocal Perturbations of Dirichlet Discrete Nonlinear Problems
spellingShingle Existence of Solutions of Nonlocal Perturbations of Dirichlet Discrete Nonlinear Problems
Cabada Fernández, Alberto
Dirichlet boundary value problem
Nonlocal perturbations
Green's function
Parameter dependence
1202 Análisis y análisis funcional
title_short Existence of Solutions of Nonlocal Perturbations of Dirichlet Discrete Nonlinear Problems
title_full Existence of Solutions of Nonlocal Perturbations of Dirichlet Discrete Nonlinear Problems
title_fullStr Existence of Solutions of Nonlocal Perturbations of Dirichlet Discrete Nonlinear Problems
title_full_unstemmed Existence of Solutions of Nonlocal Perturbations of Dirichlet Discrete Nonlinear Problems
title_sort Existence of Solutions of Nonlocal Perturbations of Dirichlet Discrete Nonlinear Problems
dc.creator.none.fl_str_mv Cabada Fernández, Alberto
Dimitrov, Nikolay
author Cabada Fernández, Alberto
author_facet Cabada Fernández, Alberto
Dimitrov, Nikolay
author_role author
author2 Dimitrov, Nikolay
author2_role author
dc.contributor.none.fl_str_mv Universidade de Santiago de Compostela. Departamento de Análise Matemática
dc.subject.none.fl_str_mv Dirichlet boundary value problem
Nonlocal perturbations
Green's function
Parameter dependence
1202 Análisis y análisis funcional
topic Dirichlet boundary value problem
Nonlocal perturbations
Green's function
Parameter dependence
1202 Análisis y análisis funcional
description This paper is devoted to the study of second order nonlinear difference equations. A Nonlocal Perturbation of a Dirichlet Boundary Value Problem is considered. An exhaustive study of the related Green's function to the linear part is done. The exact expression of the function is given, moreover the range of parameter for which it has constant sign is obtained. Using this, some existence results for the nonlinear problem are deduced from monotone iterative techniques, the classical Krasnoselski fixed point theorem or by application of recent fixed point theorems that combine both theories.
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-07-01
2017
2017-07-01
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/10347/45455
url https://hdl.handle.net/10347/45455
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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