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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Detalles Bibliográficos
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
Descripción
Sumario: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.

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