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On nonlinear oscillations in a suspension bridge system |
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| Authors: | Zhonghai Ding |
| Institution: | Department of Mathematical Sciences, University of Nevada, Las Vegas, Nevada 89154-4020 |
| 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. |
| Keywords: | Suspension bridge system nonlinear oscillation Leray-Schauder degree |
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