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Open Access Research Article

Nontrivial Solutions of the Asymmetric Beam System with Jumping Nonlinear Terms

Tacksun Jung1 and Q-Heung Choi2*

Author Affiliations

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

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Boundary Value Problems 2010, 2010:728101  doi:10.1155/2010/728101

Published: 21 September 2010

Abstract

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.