Spectral theory and Green's functions related to nonlocal differential equations. Application to nonlinear problems

Differential equations represent an important tool for solving many real problems. In this thesis we focus on the qualitative properties of the solutions of functional equations with nonlocal boundary conditions, focusing on the study of constant sign solutions. We will study comparison results betw...

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Detalles Bibliográficos
Autor: Yousfi Khoumsi, Mouhcine
Tipo de recurso: tesis doctoral
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:10347/34901
Acceso en línea:http://hdl.handle.net/10347/34901
Access Level:acceso abierto
Palabra clave:120208 Ecuaciones funcionales
120215 Ecuaciones integrales
120219 Ecuaciones diferenciales ordinarias
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spelling Spectral theory and Green's functions related to nonlocal differential equations. Application to nonlinear problemsYousfi Khoumsi, Mouhcine120208 Ecuaciones funcionales120215 Ecuaciones integrales120219 Ecuaciones diferenciales ordinariasDifferential equations represent an important tool for solving many real problems. In this thesis we focus on the qualitative properties of the solutions of functional equations with nonlocal boundary conditions, focusing on the study of constant sign solutions. We will study comparison results between the Green's functions related to the Hill's equation subject to different boundary conditions. The relationship between the respective spectra of the different problems considered will be also studied. Finally, we will addressed the study of nonlinear systems subject to nonlocal linear boundary conditions and the spectral charaterization of the constant sign derivatives of the Green's function.Cabada Fernández, AlbertoLópez Somoza, LucíaUniversidade de Santiago de Compostela. Escola de Doutoramento Internacional (EDIUS)20242024-01-0120242024-01-01doctoral thesishttp://purl.org/coar/resource_type/c_db06info:eu-repo/semantics/doctoralThesisapplication/pdfhttp://hdl.handle.net/10347/34901reponame: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 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:minerva.usc.gal:10347/349012026-06-15T12:47:27Z
dc.title.none.fl_str_mv Spectral theory and Green's functions related to nonlocal differential equations. Application to nonlinear problems
title Spectral theory and Green's functions related to nonlocal differential equations. Application to nonlinear problems
spellingShingle Spectral theory and Green's functions related to nonlocal differential equations. Application to nonlinear problems
Yousfi Khoumsi, Mouhcine
120208 Ecuaciones funcionales
120215 Ecuaciones integrales
120219 Ecuaciones diferenciales ordinarias
title_short Spectral theory and Green's functions related to nonlocal differential equations. Application to nonlinear problems
title_full Spectral theory and Green's functions related to nonlocal differential equations. Application to nonlinear problems
title_fullStr Spectral theory and Green's functions related to nonlocal differential equations. Application to nonlinear problems
title_full_unstemmed Spectral theory and Green's functions related to nonlocal differential equations. Application to nonlinear problems
title_sort Spectral theory and Green's functions related to nonlocal differential equations. Application to nonlinear problems
dc.creator.none.fl_str_mv Yousfi Khoumsi, Mouhcine
author Yousfi Khoumsi, Mouhcine
author_facet Yousfi Khoumsi, Mouhcine
author_role author
dc.contributor.none.fl_str_mv Cabada Fernández, Alberto
López Somoza, Lucía
Universidade de Santiago de Compostela. Escola de Doutoramento Internacional (EDIUS)
dc.subject.none.fl_str_mv 120208 Ecuaciones funcionales
120215 Ecuaciones integrales
120219 Ecuaciones diferenciales ordinarias
topic 120208 Ecuaciones funcionales
120215 Ecuaciones integrales
120219 Ecuaciones diferenciales ordinarias
description Differential equations represent an important tool for solving many real problems. In this thesis we focus on the qualitative properties of the solutions of functional equations with nonlocal boundary conditions, focusing on the study of constant sign solutions. We will study comparison results between the Green's functions related to the Hill's equation subject to different boundary conditions. The relationship between the respective spectra of the different problems considered will be also studied. Finally, we will addressed the study of nonlinear systems subject to nonlocal linear boundary conditions and the spectral charaterization of the constant sign derivatives of the Green's function.
publishDate 2024
dc.date.none.fl_str_mv 2024
2024-01-01
2024
2024-01-01
dc.type.none.fl_str_mv doctoral thesis
http://purl.org/coar/resource_type/c_db06
dc.type.openaire.fl_str_mv info:eu-repo/semantics/doctoralThesis
format doctoralThesis
dc.identifier.none.fl_str_mv http://hdl.handle.net/10347/34901
url http://hdl.handle.net/10347/34901
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 Internacional
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 Internacional
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
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
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