Existence of solution for functional coupled systems with full nonlinear terms and applications to coupled a mass-spring model

Detalhes bibliográficos
Autor(a) principal: Minhós, Feliz
Data de Publicação: 2017
Outros Autores: de Sousa, Robert
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10174/21745
https://doi.org/10.7153/dea-2017-09-30
Resumo: In this paper we consider some boundary value problems composed by coupled systems of second order differential equations with full nonlinearities and general functional boundary conditions verifying some monotone assumptions. The arguments apply lower and upper solutions method and fixed point theory. Due to an adequate auxiliary problem, including a convenient truncature, there is no need of sign, bound, monotonicity or other growth assumptions on the nonlinearities, besides the Nagumo condition. An application to a coupled mass-spring system with functional behavior at the final instant is shown.
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spelling Existence of solution for functional coupled systems with full nonlinear terms and applications to coupled a mass-spring modelCoupled systems,functional boundary conditions,Green's functionsSchauder fi xed point theoremcoupled mass-spring system.In this paper we consider some boundary value problems composed by coupled systems of second order differential equations with full nonlinearities and general functional boundary conditions verifying some monotone assumptions. The arguments apply lower and upper solutions method and fixed point theory. Due to an adequate auxiliary problem, including a convenient truncature, there is no need of sign, bound, monotonicity or other growth assumptions on the nonlinearities, besides the Nagumo condition. An application to a coupled mass-spring system with functional behavior at the final instant is shown.Ele-Math2018-01-08T12:34:15Z2018-01-082017-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10174/21745http://hdl.handle.net/10174/21745https://doi.org/10.7153/dea-2017-09-30engF. Minhós, Robert de Sousa, Existence of solution for functional coupled systems with full nonlinear terms and applications to coupled a mass-spring model, Differential Equations and Applications, Volume 9, Number 4, November 2017 , 433–4521392-5113http://dea.ele-math.com/09-30/Existence-of-solution-for-functional-coupled-systems-with-full-nonlinear-terms-and-applications-to-a-coupled-mass-spring-modelDMATfminhos@uevora.ptrobert.sousa@docente.unicv.edu.cv334Minhós, Felizde Sousa, Robertinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-01-03T19:12:35Zoai:dspace.uevora.pt:10174/21745Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:12:56.729810Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Existence of solution for functional coupled systems with full nonlinear terms and applications to coupled a mass-spring model
title Existence of solution for functional coupled systems with full nonlinear terms and applications to coupled a mass-spring model
spellingShingle Existence of solution for functional coupled systems with full nonlinear terms and applications to coupled a mass-spring model
Minhós, Feliz
Coupled systems,
functional boundary conditions,
Green's functions
Schauder fi xed point theorem
coupled mass-spring system.
title_short Existence of solution for functional coupled systems with full nonlinear terms and applications to coupled a mass-spring model
title_full Existence of solution for functional coupled systems with full nonlinear terms and applications to coupled a mass-spring model
title_fullStr Existence of solution for functional coupled systems with full nonlinear terms and applications to coupled a mass-spring model
title_full_unstemmed Existence of solution for functional coupled systems with full nonlinear terms and applications to coupled a mass-spring model
title_sort Existence of solution for functional coupled systems with full nonlinear terms and applications to coupled a mass-spring model
author Minhós, Feliz
author_facet Minhós, Feliz
de Sousa, Robert
author_role author
author2 de Sousa, Robert
author2_role author
dc.contributor.author.fl_str_mv Minhós, Feliz
de Sousa, Robert
dc.subject.por.fl_str_mv Coupled systems,
functional boundary conditions,
Green's functions
Schauder fi xed point theorem
coupled mass-spring system.
topic Coupled systems,
functional boundary conditions,
Green's functions
Schauder fi xed point theorem
coupled mass-spring system.
description In this paper we consider some boundary value problems composed by coupled systems of second order differential equations with full nonlinearities and general functional boundary conditions verifying some monotone assumptions. The arguments apply lower and upper solutions method and fixed point theory. Due to an adequate auxiliary problem, including a convenient truncature, there is no need of sign, bound, monotonicity or other growth assumptions on the nonlinearities, besides the Nagumo condition. An application to a coupled mass-spring system with functional behavior at the final instant is shown.
publishDate 2017
dc.date.none.fl_str_mv 2017-01-01T00:00:00Z
2018-01-08T12:34:15Z
2018-01-08
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10174/21745
http://hdl.handle.net/10174/21745
https://doi.org/10.7153/dea-2017-09-30
url http://hdl.handle.net/10174/21745
https://doi.org/10.7153/dea-2017-09-30
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv F. Minhós, Robert de Sousa, Existence of solution for functional coupled systems with full nonlinear terms and applications to coupled a mass-spring model, Differential Equations and Applications, Volume 9, Number 4, November 2017 , 433–452
1392-5113
http://dea.ele-math.com/09-30/Existence-of-solution-for-functional-coupled-systems-with-full-nonlinear-terms-and-applications-to-a-coupled-mass-spring-model
DMAT
fminhos@uevora.pt
robert.sousa@docente.unicv.edu.cv
334
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Ele-Math
publisher.none.fl_str_mv Ele-Math
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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