A nonlinear second order problem with a nonlocal boundary condition

P. Amster and P. De Nápoli

Abstract and Applied Analysis, 2006, vol. 2006, issue 1

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.

Date: 2006
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https://doi.org/10.1155/AAA/2006/38532

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2006:y:2006:i:1:n:038532

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