On nonlinear oscillations in a suspension bridge system
Zhonghai Ding · Transactions of the American Mathematical Society · 2001
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.