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Open Access Research Article

Periodic Problem with a Potential Landesman Lazer Condition

Petr Tomiczek

Author Affiliations

Department of Mathematics, University of West Bohemia, Univerzitní 22, 306 14 Plzeň, Czech Republic

Boundary Value Problems 2010, 2010:586971  doi:10.1155/2010/586971

Published: 26 September 2010

Abstract

We prove the existence of a solution to the periodic nonlinear second-order ordinary differential equation with damping , , . We suppose that , the nonlinearity satisfies the potential Landesman Lazer condition and prove that a critical point of a corresponding energy functional is a solution to this problem.