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Coupled String-Beam Equations as a Model of Suspension Bridges
Authors:Pavel Drábek  Herbert Leinfelder  Gabriela Tajčová
Institution:(1) Department of Mathematics, University of West Bohemia, P.O.Box 314, 30614 Plzencaron, Czech Republic;(2) Laboratory of Applied Mathemataics, Georg-Simon-Ohm-Fachhochschule Nudblacrnberg, University of Applied Science, Keßlerplatz 12, D-90489 Nuremberg, Germany
Abstract:We consider nonlinearly coupled string-beam equations modelling time-periodic oscillations in suspension bridges. We prove the existence of a unique solution under suitable assumptions on certain parameters of the bridge.
Keywords:Nonlinearly coupled string-beam equation  periodic oscillations  jumping nonlinearities  degree theory
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