A nonlinear second order problem with a nonlocal boundary condition

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, Pablo Gustavo, De Napoli, Pablo Luis
Publicado: 2006
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10853375_v2006_n_p1_Amster
http://hdl.handle.net/20.500.12110/paper_10853375_v2006_n_p1_Amster
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_10853375_v2006_n_p1_Amster
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spelling paper:paper_10853375_v2006_n_p1_Amster2023-06-08T16:06:05Z A nonlinear second order problem with a nonlocal boundary condition Amster, Pablo Gustavo De Napoli, Pablo Luis 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. 2006 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10853375_v2006_n_p1_Amster http://hdl.handle.net/20.500.12110/paper_10853375_v2006_n_p1_Amster
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (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.
author Amster, Pablo Gustavo
De Napoli, Pablo Luis
spellingShingle Amster, Pablo Gustavo
De Napoli, Pablo Luis
A nonlinear second order problem with a nonlocal boundary condition
author_facet Amster, Pablo Gustavo
De Napoli, Pablo Luis
author_sort Amster, Pablo Gustavo
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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10853375_v2006_n_p1_Amster
http://hdl.handle.net/20.500.12110/paper_10853375_v2006_n_p1_Amster
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AT amsterpablogustavo nonlinearsecondorderproblemwithanonlocalboundarycondition
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