On nonlinear oscillations in a suspension bridge system

Ding, Zhonghai

doi:10.1090/S0002-9947-01-02864-1

On nonlinear oscillations in a suspension bridge system
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Trans. Amer. Math. Soc. 354 (2002), 265-274 Request permission

Abstract:

In this paper, we study nonlinear oscillations in a suspension bridge system governed by two coupled nonlinear partial differential equations. By applying the Leray-Schauder degree theory, it is proved that the suspension bridge system has at least two solutions, one is a near-equilibrium oscillation, and the other is a large amplitude oscillation.

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