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: JOUR
Acceso en línea: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 todo:paper_10853375_v2006_n_p1_Amster
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spelling todo:paper_10853375_v2006_n_p1_Amster2023-10-03T16:04:16Z A nonlinear second order problem with a nonlocal boundary condition Amster, P. De Nápoli, P. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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.
format JOUR
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
url http://hdl.handle.net/20.500.12110/paper_10853375_v2006_n_p1_Amster
work_keys_str_mv AT amsterp anonlinearsecondorderproblemwithanonlocalboundarycondition
AT denapolip anonlinearsecondorderproblemwithanonlocalboundarycondition
AT amsterp nonlinearsecondorderproblemwithanonlocalboundarycondition
AT denapolip nonlinearsecondorderproblemwithanonlocalboundarycondition
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