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On nonlinear oscillations in a suspension bridge system
Author(s):
Zhonghai
Ding
Journal:
Trans. Amer. Math. Soc.
354
(2002),
265-274.
MSC (2000):
Primary 35Q72, 47H11, 74H20.
Posted:
August 20, 2001
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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
DOI:
10.1090/S0002-9947-01-02864-1
PII:
S 0002-9947(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
Posted:
August 20, 2001
Additional Notes:
This research was supported in part by NSF Grant DMS 96-22910.
Copyright of article:
Copyright
2001,
American Mathematical Society
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