Nonlinear Models of Suspension Bridges: Discussion of the Results

Authors: Drábek P.¹; Holubová G.²; Matas A.³; Ne ccaron esal P.⁴

Source: Applications of Mathematics, Volume 48, Number 6, December 2003 , pp. 497-514(18)

Publisher: Springer

Buy & download fulltext article:

Price: $47.00 plus tax (Refund Policy)

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.

Keywords: beam equation; system of beam wave equation; initial boundary value problem; bifurcation; Fu ccaron ík spectrum

Document Type: Research article

DOI: http://dx.doi.org/10.1023/B:APOM.0000024489.96314.7f

Affiliations: 1: University of West Bohemia, Faculty of Applied Sciences, Department of Mathematics, P.O. Box 314, 306 14 Plze ncaron , Email: pdrabek@kma.zcu.cz , Email: pdrabek@kma.zcu.cz "> 2: University of West Bohemia, Faculty of Applied Sciences, Department of Mathematics, P.O. Box 314, 306 14 Plze ncaron , Email: gabriela@kma.zcu.cz , Email: gabriela@kma.zcu.cz "> 3: University of West Bohemia, Faculty of Applied Sciences, Department of Mathematics, P.O. Box 314, 306 14 Plze ncaron , Email: matas@kma.zcu.cz , Email: matas@kma.zcu.cz "> 4: University of West Bohemia, Faculty of Applied Sciences, Department of Mathematics, P.O. Box 314, 306 14 Plze ncaron , Email: pnecesal@kma.zcu.cz, Email: pnecesal@kma.zcu.cz">