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(2001 / vol.4 / no.2)
Multiplicity of Solutions via Forcing Terms in One Dimensional Suspension Bridge Equations
Q-Heung Choi, Tacksun Jung
Pages. 73-79     



First we reveal multiplicity of solutions via source terms in the nonlinear suspension bridge equation. We also investigate the number of solutions of the nonlinear suspension bridge equation when the nonlinearity crosses $k $ eigenvalues. We show by critical point theory that the equation has at least $k$ solutions.



Suspension bridge, multiplicity of solutions, Dirichlet boundary condition, linking theorem, eigenvalue