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.
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