A Nonlinear Second Order Problem Witha Nonlocal Boundary Condition

نویسنده

  • P. AMSTER
چکیده

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 LandesmanLazer 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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تاریخ انتشار 2006