| Contents |
| We discuss a kind of fourth order hyperbolic evolution problem
$$
u_{tt}+ \Delta ^2 u + \mu u_t+h(x,y,u) = f(x,y,t), \mbox{ in }\Omega\times(0,T),
$$
which is suggested as mathematical models for suspension bridges, whose roadway is viewed as a long narrow rectangular thin plate. We try to seek correct boundary conditions for the plate and look for solutions to these problems which exhibit the oscillations, the phenomenon visible in real bridges. |
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