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Existence of strong solutions and global attractors for the suspension bridge equations. (English) Zbl 1125.34019

The authors treat a nonlinear ordinary second-order differential equation by establishing some a priori bounds and then proving the convergence of the Faedo-Galerkin approximation method.

Unfortunately, the equation does not describe the deflection of a suspension bridge, whose equation is completely different. In addition, the language is poor and full of mistakes, and the references ignore the huge, classical, literature of the problem.

MSC:
34B45Boundary value problems for ODE on graphs and networks
34C60Qualitative investigation and simulation of models (ODE)
35B41Attractors (PDE)
74H45Vibrations (dynamical problems in solid mechanics)
34D05Asymptotic stability of ODE
35Q72Other PDE from mechanics (MSC2000)