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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/AAA/2006/38532 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | 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. |
|---|---|
| ISSN: | 1085-3375 1687-0409 |