On nonlinear oscillations in a suspension bridge system
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- by Zhonghai Ding PDF
- 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.References
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Additional Information
- Zhonghai Ding
- Affiliation: Department of Mathematical Sciences, University of Nevada, Las Vegas, Nevada 89154-4020
- Email: dingz@nevada.edu
- Received by editor(s): August 21, 2000
- Received by editor(s) in revised form: April 3, 2001
- Published electronically: August 20, 2001
- Additional Notes: This research was supported in part by NSF Grant DMS 96-22910.
- © Copyright 2001 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 354 (2002), 265-274
- MSC (2000): Primary 35Q72, 47H11, 74H20
- DOI: https://doi.org/10.1090/S0002-9947-01-02864-1
- MathSciNet review: 1859275