Positive homoclinic solutions of n-th order difference equations with sign-changing Green's function

In this paper we, consider an n-th order nonlinear difference equation with parameter dependence. An exhaustive study of the related Green's function is done. The exact expression of the function is given. The range of parameter for which either it has constant sign or it changes sign is obtain...

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Detalles Bibliográficos
Autores: Cabada Fernández, Alberto, Dimitrov, Nikolay
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:10347/44937
Acceso en línea:https://hdl.handle.net/10347/44937
Access Level:acceso abierto
Palabra clave:Difference equation
Homoclinic solutions
Positive solutions
Parameter dependence
Sign-changing Green's function
1202 Análisis y análisis funcional
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spelling Positive homoclinic solutions of n-th order difference equations with sign-changing Green's functionCabada Fernández, AlbertoDimitrov, NikolayDifference equationHomoclinic solutionsPositive solutionsParameter dependenceSign-changing Green's function1202 Análisis y análisis funcionalIn this paper we, consider an n-th order nonlinear difference equation with parameter dependence. An exhaustive study of the related Green's function is done. The exact expression of the function is given. The range of parameter for which either it has constant sign or it changes sign is obtained. Some existence results for the nonlinear problem are deduced by using the classical Krasnosel'skii's fixed point theorem on cones and fixed point index theory.WileyUniversidade de Santiago de Compostela. Departamento de Análise Matemática20182018-04-1620182018-04-16journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10347/44937reponame:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostelainstname:Universidad de Santiago de Compostela (USC)InglésengNINECO Programa Estatal de Fomento de la Investigación Científica y Técnica de Excelencia MTM2013-43014-Popen 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:10347/449372026-06-15T12:47:27Z
dc.title.none.fl_str_mv Positive homoclinic solutions of n-th order difference equations with sign-changing Green's function
title Positive homoclinic solutions of n-th order difference equations with sign-changing Green's function
spellingShingle Positive homoclinic solutions of n-th order difference equations with sign-changing Green's function
Cabada Fernández, Alberto
Difference equation
Homoclinic solutions
Positive solutions
Parameter dependence
Sign-changing Green's function
1202 Análisis y análisis funcional
title_short Positive homoclinic solutions of n-th order difference equations with sign-changing Green's function
title_full Positive homoclinic solutions of n-th order difference equations with sign-changing Green's function
title_fullStr Positive homoclinic solutions of n-th order difference equations with sign-changing Green's function
title_full_unstemmed Positive homoclinic solutions of n-th order difference equations with sign-changing Green's function
title_sort Positive homoclinic solutions of n-th order difference equations with sign-changing Green's function
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 Difference equation
Homoclinic solutions
Positive solutions
Parameter dependence
Sign-changing Green's function
1202 Análisis y análisis funcional
topic Difference equation
Homoclinic solutions
Positive solutions
Parameter dependence
Sign-changing Green's function
1202 Análisis y análisis funcional
description In this paper we, consider an n-th order nonlinear difference equation with parameter dependence. An exhaustive study of the related Green's function is done. The exact expression of the function is given. The range of parameter for which either it has constant sign or it changes sign is obtained. Some existence results for the nonlinear problem are deduced by using the classical Krasnosel'skii's fixed point theorem on cones and fixed point index theory.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-04-16
2018
2018-04-16
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/10347/44937
url https://hdl.handle.net/10347/44937
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv NINECO Programa Estatal de Fomento de la Investigación Científica y Técnica de Excelencia MTM2013-43014-P
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 Wiley
publisher.none.fl_str_mv Wiley
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 15,811543

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