Research Article
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:10.1155/2010/728101
Published: 21 September 2010Abstract
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.
