Nontrivial Solutions of the Asymmetric Beam System with Jumping Nonlinear Terms
1 Department of Mathematics, Kunsan National University, Kunsan 573-701, Republic of Korea
2 Department of Mathematics Education, Inha University, Incheon 402-751, Republic of Korea
Boundary Value Problems 2010, 2010:728101 doi:10.1155/2010/728101Published: 21 September 2010
We investigate the existence of multiple nontrivial solutions for perturbations and of the beam system with Dirichlet boundary condition in , in , where , and are nonzero constants. Here is the beam operator in , and the nonlinearity crosses the eigenvalues of the beam operator.