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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| Publicado: |
2006
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| 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 |
| Aporte de: |
| Sumario: | 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. |
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