A nonlinear second order problem with a nonlocal boundary condition

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We study a nonlinear problem of pendulum-type for a p-Laplacian with nonlinear periodic-type boundary conditions. Using an extension of Mawhin's continuation theorem for nonlinear operators, we prove the existence of a solution under a Landesman-Lazer type condition. Moreover, using the method...

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Autores principales: Amster, P., De Nápoli, P.
Formato: Artículo publishedVersion
Publicado: 2006
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10853375_v2006_n_p1_Amster
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10853375_v2006_n_p1_Amster_oai
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spelling I28-R145-paper_10853375_v2006_n_p1_Amster_oai2024-08-16 Amster, P. De Nápoli, P. 2006 We study a nonlinear problem of pendulum-type for a p-Laplacian with nonlinear periodic-type boundary conditions. Using an extension of Mawhin's continuation theorem for nonlinear operators, we prove the existence of a solution under a Landesman-Lazer type condition. Moreover, using the method of upper and lower solutions, we generalize a celebrated result by Castro for the classical pendulum equation. Copyright © 2006 Hindawi Publishing Corporation. All rights reserved. Fil:Amster, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:De Nápoli, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. application/pdf http://hdl.handle.net/20.500.12110/paper_10853375_v2006_n_p1_Amster info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Abstr. Appl. Anal. 2006;2006:1-11 A nonlinear second order problem with a nonlocal boundary condition info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10853375_v2006_n_p1_Amster_oai
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-145
collection Repositorio Digital de la Universidad de Buenos Aires (UBA)
description We study a nonlinear problem of pendulum-type for a p-Laplacian with nonlinear periodic-type boundary conditions. Using an extension of Mawhin's continuation theorem for nonlinear operators, we prove the existence of a solution under a Landesman-Lazer type condition. Moreover, using the method of upper and lower solutions, we generalize a celebrated result by Castro for the classical pendulum equation. Copyright © 2006 Hindawi Publishing Corporation. All rights reserved.
format Artículo
Artículo
publishedVersion
author Amster, P.
De Nápoli, P.
spellingShingle Amster, P.
De Nápoli, P.
A nonlinear second order problem with a nonlocal boundary condition
author_facet Amster, P.
De Nápoli, P.
author_sort Amster, P.
title A nonlinear second order problem with a nonlocal boundary condition
title_short A nonlinear second order problem with a nonlocal boundary condition
title_full A nonlinear second order problem with a nonlocal boundary condition
title_fullStr A nonlinear second order problem with a nonlocal boundary condition
title_full_unstemmed A nonlinear second order problem with a nonlocal boundary condition
title_sort nonlinear second order problem with a nonlocal boundary condition
publishDate 2006
url http://hdl.handle.net/20.500.12110/paper_10853375_v2006_n_p1_Amster
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10853375_v2006_n_p1_Amster_oai
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