Non-asymptotic and potential Landesman-Lazer conditions for a nonlinear beam equation

Existence of solutions for a nonlinear fourth order ordinary differential equation arising in beam theory is considered. We obtain solutions by a degree argument under a non-asymptotic condition on the nonlinear terms of the problem. Moreover, assuming a potential Landesman-Lazer condition, we prove...

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Autor principal: Amster, P.
Formato: JOUR
Materias:
Degree theory
Landesman-Lazer conditions
Nonlinear beam equation
Symmetric solutions
Variational methods
Landesman-Lazer condition
Symmetric solution
Ordinary differential equations
Continuum mechanics
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_15985865_v40_n1-2_p63_Amster
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_15985865_v40_n1-2_p63_Amster
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spelling todo:paper_15985865_v40_n1-2_p63_Amster2023-10-03T16:27:42Z Non-asymptotic and potential Landesman-Lazer conditions for a nonlinear beam equation Amster, P. Degree theory Landesman-Lazer conditions Nonlinear beam equation Symmetric solutions Variational methods Degree theory Landesman-Lazer condition Nonlinear beam equation Symmetric solution Variational methods Ordinary differential equations Continuum mechanics Existence of solutions for a nonlinear fourth order ordinary differential equation arising in beam theory is considered. We obtain solutions by a degree argument under a non-asymptotic condition on the nonlinear terms of the problem. Moreover, assuming a potential Landesman-Lazer condition, we prove the existence of at least one solution by variational methods. © 2012 Korean Society for Computational and Applied Mathematics. Fil:Amster, 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_15985865_v40_n1-2_p63_Amster
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Degree theory
Landesman-Lazer conditions
Nonlinear beam equation
Symmetric solutions
Variational methods
Degree theory
Landesman-Lazer condition
Nonlinear beam equation
Symmetric solution
Variational methods
Ordinary differential equations
Continuum mechanics
spellingShingle Degree theory
Landesman-Lazer conditions
Nonlinear beam equation
Symmetric solutions
Variational methods
Degree theory
Landesman-Lazer condition
Nonlinear beam equation
Symmetric solution
Variational methods
Ordinary differential equations
Continuum mechanics
Amster, P.
Non-asymptotic and potential Landesman-Lazer conditions for a nonlinear beam equation
topic_facet Degree theory
Landesman-Lazer conditions
Nonlinear beam equation
Symmetric solutions
Variational methods
Degree theory
Landesman-Lazer condition
Nonlinear beam equation
Symmetric solution
Variational methods
Ordinary differential equations
Continuum mechanics
description Existence of solutions for a nonlinear fourth order ordinary differential equation arising in beam theory is considered. We obtain solutions by a degree argument under a non-asymptotic condition on the nonlinear terms of the problem. Moreover, assuming a potential Landesman-Lazer condition, we prove the existence of at least one solution by variational methods. © 2012 Korean Society for Computational and Applied Mathematics.
format JOUR
author Amster, P.
author_facet Amster, P.
author_sort Amster, P.
title Non-asymptotic and potential Landesman-Lazer conditions for a nonlinear beam equation
title_short Non-asymptotic and potential Landesman-Lazer conditions for a nonlinear beam equation
title_full Non-asymptotic and potential Landesman-Lazer conditions for a nonlinear beam equation
title_fullStr Non-asymptotic and potential Landesman-Lazer conditions for a nonlinear beam equation
title_full_unstemmed Non-asymptotic and potential Landesman-Lazer conditions for a nonlinear beam equation
title_sort non-asymptotic and potential landesman-lazer conditions for a nonlinear beam equation
url http://hdl.handle.net/20.500.12110/paper_15985865_v40_n1-2_p63_Amster
work_keys_str_mv AT amsterp nonasymptoticandpotentiallandesmanlazerconditionsforanonlinearbeamequation
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