Existence results for a linear equation with reflection, non-constant coefficient and periodic boundary conditions

This work is devoted to the study of first order linear problems with involution and periodic boundary value conditions. We first prove a correspondence between a large set of such problems with different involutions to later focus our attention to the case of the reflection. We study then different...

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Authors: Cabada Fernández, Alberto, Fernández Tojo, Fernando Adrián
Format: article
Publication Date:2014
Country:España
Institution:Universidad de Santiago de Compostela (USC)
Repository:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
Language:English
OAI Identifier:oai:minerva.usc.gal:10347/45928
Online Access:https://hdl.handle.net/10347/45928
Access Level:Open access
Keyword:Equations with involutions
Equations with reflection
Greenʼs functions
Maximum principles
Comparison principles
Periodic conditions
1202 Análisis y análisis funcional
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spelling Existence results for a linear equation with reflection, non-constant coefficient and periodic boundary conditionsCabada Fernández, AlbertoFernández Tojo, Fernando AdriánEquations with involutionsEquations with reflectionGreenʼs functionsMaximum principlesComparison principlesPeriodic conditions1202 Análisis y análisis funcionalThis work is devoted to the study of first order linear problems with involution and periodic boundary value conditions. We first prove a correspondence between a large set of such problems with different involutions to later focus our attention to the case of the reflection. We study then different cases for which a Greenʼs function can be obtained explicitly and derive several results in order to obtain information about its sign. Once the sign is known, maximum and anti-maximum principles follow. We end this work with more general existence and uniqueness of solution resultsElsevierUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización20142014-04-0120142014-04-01journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10347/45928reponame: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:10347/459282026-06-15T12:47:27Z
dc.title.none.fl_str_mv Existence results for a linear equation with reflection, non-constant coefficient and periodic boundary conditions
title Existence results for a linear equation with reflection, non-constant coefficient and periodic boundary conditions
spellingShingle Existence results for a linear equation with reflection, non-constant coefficient and periodic boundary conditions
Cabada Fernández, Alberto
Equations with involutions
Equations with reflection
Greenʼs functions
Maximum principles
Comparison principles
Periodic conditions
1202 Análisis y análisis funcional
title_short Existence results for a linear equation with reflection, non-constant coefficient and periodic boundary conditions
title_full Existence results for a linear equation with reflection, non-constant coefficient and periodic boundary conditions
title_fullStr Existence results for a linear equation with reflection, non-constant coefficient and periodic boundary conditions
title_full_unstemmed Existence results for a linear equation with reflection, non-constant coefficient and periodic boundary conditions
title_sort Existence results for a linear equation with reflection, non-constant coefficient and periodic boundary conditions
dc.creator.none.fl_str_mv Cabada Fernández, Alberto
Fernández Tojo, Fernando Adrián
author Cabada Fernández, Alberto
author_facet Cabada Fernández, Alberto
Fernández Tojo, Fernando Adrián
author_role author
author2 Fernández Tojo, Fernando Adrián
author2_role 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 Equations with involutions
Equations with reflection
Greenʼs functions
Maximum principles
Comparison principles
Periodic conditions
1202 Análisis y análisis funcional
topic Equations with involutions
Equations with reflection
Greenʼs functions
Maximum principles
Comparison principles
Periodic conditions
1202 Análisis y análisis funcional
description This work is devoted to the study of first order linear problems with involution and periodic boundary value conditions. We first prove a correspondence between a large set of such problems with different involutions to later focus our attention to the case of the reflection. We study then different cases for which a Greenʼs function can be obtained explicitly and derive several results in order to obtain information about its sign. Once the sign is known, maximum and anti-maximum principles follow. We end this work with more general existence and uniqueness of solution results
publishDate 2014
dc.date.none.fl_str_mv 2014
2014-04-01
2014
2014-04-01
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/10347/45928
url https://hdl.handle.net/10347/45928
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 15,811543

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