TITLE

A NONLINEAR SECOND ORDER PROBLEM WITH A NONLOCAL BOUNDARY CONDITION

AUTHOR(S)
Amster, P.; de Nápoli, P.
PUB. DATE
January 2006
SOURCE
Abstract & Applied Analysis;2006, p1
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
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.
ACCESSION #
24049402

 

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