J. Korean Math. Soc. 1997; 34(3): 609-622
Printed September 1, 1997
Copyright © The Korean Mathematical Society.
Q-Heung Choi and Hyewon Nam
Inha university and Inha university
We investigate the existence of solutions of the nonlinear beam equation under the Dirichlet boundary condition on the interval $(- {\frac{\pi}{2}} , {\frac{\pi}{2}} )$ and periodic condition on the varible $t$, $Lu + bu^+ - au^- = f(x,t)$, when the jumping nonlinearity crosses the first positive eigenvalue.
Keywords: eigenvalue, beam equation, multiplicity of solutions
MSC numbers: 35B10, 35Q40
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