# Nonlinear Models of Suspension Bridges: Discussion of the Results

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## Abstract

In this paper we present several nonlinear models of suspension bridges; most of them have been introduced by Lazer and McKenna. We discuss some results which were obtained by the authors and other mathematicians for the boundary value problems and initial boundary value problems. Our intention is to point out the character of these results and to show which mathematical methods were used to prove them instead of giving precise proofs and statements.

beam equation system of beam wave equation initial boundary value problem bifurcation Fučík spectrum

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© Mathematical Institute, Academy of Sciences of Czech Republic 2003