On nonlinear oscillations in a suspension bridge system

Author:
Zhonghai Ding

Journal:
Trans. Amer. Math. Soc. **354** (2002), 265-274

MSC (2000):
Primary 35Q72, 47H11, 74H20.

Published electronically:
August 20, 2001

MathSciNet review:
1859275

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Abstract | References | Similar Articles | Additional Information

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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Additional Information

**Zhonghai Ding**

Affiliation:
Department of Mathematical Sciences, University of Nevada, Las Vegas, Nevada 89154-4020

Email:
dingz@nevada.edu

DOI:
https://doi.org/10.1090/S0002-9947-01-02864-1

Keywords:
Suspension bridge system,
nonlinear oscillation,
Leray-Schauder degree

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.

Article copyright:
© Copyright 2001
American Mathematical Society