Solutions of the first order linear equation with reflection and general linear conditions

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización
dc.contributor.authorCabada Fernández, Alberto
dc.contributor.authorFernández Tojo, Fernando Adrián
dc.date.accessioned2026-02-19T07:46:28Z
dc.date.available2026-02-19T07:46:28Z
dc.date.issued2013
dc.description.abstractThis work is devoted to the study of first order linear problems with involution and general linear conditions. We first study the problem in the case of antiperiodic boundary conditions, giving an explicit Green's function for it. Then we move forward to more general linear boundary conditions, focusing on sufficient conditions for existence and uniqueness of solution. At the end of the paper we give estimates that ensure the positivity of the solution in the general problems and illustrate these applications with examples
dc.description.peerreviewedSI
dc.identifier.citationCabada, A. and Tojo, F. A. Solutions of the first order linear equation with reflection and general linear conditions. In: Global Journal of Mathematical Sciences, Vol 2, No 1 (2013)
dc.identifier.essn2164-3709
dc.identifier.urihttps://hdl.handle.net/10347/45979
dc.issue.number1
dc.journal.titleGlobal Journal of Mathematical Sciences
dc.language.isoeng
dc.page.final8
dc.page.initial1
dc.publisherIFNA Publishers, Inc.
dc.relation.publisherversionhttps://www.ifnaworld.org/ojs/index.php/GJMS/article/viewFile/52/14
dc.rightsThis journal provides immediate open access to its content on the principle that making research freely available to the public supports a greater global exchange of knowledge
dc.rights.accessRightsopen access
dc.subjectEquations with involutions
dc.subjectEquations with reflection
dc.subjectGreen’s functions
dc.subjectMaximum principles
dc.subjectComparison principles
dc.subjectPeriodic conditions
dc.subject.classification1202 Análisis y análisis funcional
dc.titleSolutions of the first order linear equation with reflection and general linear conditions
dc.typejournal article
dc.type.hasVersionVoR
dc.volume.number2
dspace.entity.typePublication
relation.isAuthorOfPublication72eb316c-075b-4d19-8242-bf6cbcd8a2cc
relation.isAuthorOfPublication7d79f16f-87c6-4898-b9eb-1fed52f1819a
relation.isAuthorOfPublication.latestForDiscovery72eb316c-075b-4d19-8242-bf6cbcd8a2cc

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Estatística, Análise Matemática e Optimización
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