Characterization of the constant sign of a class of Periodic and Neumann Green’s functions via spectral theory

In this paper we characterize the regions of constant sign of the Green's fucntions related to operator $T_n[p,M]\,u(t)=u^{(n)}(t)+p\,u^{(n-2)}(t)+M\,u(t)$, with $n$ an even number, $n\ge 4$, and $p\le 0$, coupled to periodic or Neumann boundary conditions. The results generalize the situation...

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Detalles Bibliográficos
Autores: Cabada Fernández, Alberto, López Somoza, Lucía
Tipo de recurso: capítulo de libro
Fecha de publicación:2024
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:10347/44915
Acceso en línea:https://hdl.handle.net/10347/44915
Access Level:acceso abierto
Palabra clave:Spectral characterization
Neumann Problem
Periodic Problem
Green's function
1202 Análisis y análisis funcional
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spelling Characterization of the constant sign of a class of Periodic and Neumann Green’s functions via spectral theoryCabada Fernández, AlbertoLópez Somoza, LucíaSpectral characterizationNeumann ProblemPeriodic ProblemGreen's function1202 Análisis y análisis funcionalIn this paper we characterize the regions of constant sign of the Green's fucntions related to operator $T_n[p,M]\,u(t)=u^{(n)}(t)+p\,u^{(n-2)}(t)+M\,u(t)$, with $n$ an even number, $n\ge 4$, and $p\le 0$, coupled to periodic or Neumann boundary conditions. The results generalize the situation considered in \cite{CabSom_Eloe} for the particular case of $p=0$.SpringerAshyralyev, AllaberenRuzhansky, MichaelSadybekov, Makhmud A.Universidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización20242024-08-2820242024-08-28book parthttp://purl.org/coar/resource_type/c_3248AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/bookPartapplication/pdfhttps://hdl.handle.net/10347/44915reponame:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostelainstname:Universidad de Santiago de Compostela (USC)InglésengAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2020-113275GB-I00 ECUACIONES DIFERENCIALES ORDINARIAS NO LINEALES Y APLICACIONESopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:minerva.usc.gal:10347/449152026-06-15T12:47:27Z
dc.title.none.fl_str_mv Characterization of the constant sign of a class of Periodic and Neumann Green’s functions via spectral theory
title Characterization of the constant sign of a class of Periodic and Neumann Green’s functions via spectral theory
spellingShingle Characterization of the constant sign of a class of Periodic and Neumann Green’s functions via spectral theory
Cabada Fernández, Alberto
Spectral characterization
Neumann Problem
Periodic Problem
Green's function
1202 Análisis y análisis funcional
title_short Characterization of the constant sign of a class of Periodic and Neumann Green’s functions via spectral theory
title_full Characterization of the constant sign of a class of Periodic and Neumann Green’s functions via spectral theory
title_fullStr Characterization of the constant sign of a class of Periodic and Neumann Green’s functions via spectral theory
title_full_unstemmed Characterization of the constant sign of a class of Periodic and Neumann Green’s functions via spectral theory
title_sort Characterization of the constant sign of a class of Periodic and Neumann Green’s functions via spectral theory
dc.creator.none.fl_str_mv Cabada Fernández, Alberto
López Somoza, Lucía
author Cabada Fernández, Alberto
author_facet Cabada Fernández, Alberto
López Somoza, Lucía
author_role author
author2 López Somoza, Lucía
author2_role author
dc.contributor.none.fl_str_mv Ashyralyev, Allaberen
Ruzhansky, Michael
Sadybekov, Makhmud A.
Universidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización
dc.subject.none.fl_str_mv Spectral characterization
Neumann Problem
Periodic Problem
Green's function
1202 Análisis y análisis funcional
topic Spectral characterization
Neumann Problem
Periodic Problem
Green's function
1202 Análisis y análisis funcional
description In this paper we characterize the regions of constant sign of the Green's fucntions related to operator $T_n[p,M]\,u(t)=u^{(n)}(t)+p\,u^{(n-2)}(t)+M\,u(t)$, with $n$ an even number, $n\ge 4$, and $p\le 0$, coupled to periodic or Neumann boundary conditions. The results generalize the situation considered in \cite{CabSom_Eloe} for the particular case of $p=0$.
publishDate 2024
dc.date.none.fl_str_mv 2024
2024-08-28
2024
2024-08-28
dc.type.none.fl_str_mv book part
http://purl.org/coar/resource_type/c_3248
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/bookPart
format bookPart
dc.identifier.none.fl_str_mv https://hdl.handle.net/10347/44915
url https://hdl.handle.net/10347/44915
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2020-113275GB-I00 ECUACIONES DIFERENCIALES ORDINARIAS NO LINEALES Y APLICACIONES
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
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
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
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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