Periodic Problem with a Potential Landesman Lazer Condition
Department of Mathematics, University of West Bohemia, Univerzitní 22, 306 14 Plzeň, Czech Republic
Boundary Value Problems 2010, 2010:586971 doi:10.1155/2010/586971Published: 26 September 2010
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.