Periodic oscillation in suspension bridge model with a periodic damping term
Lin Wang, Jian Zu · Boundary Value Problems · 2014
We study periodic solutions of the suspension bridge model proposed by Lazer and McKenna with a periodic damping term. Under the Dolph-type condition and a small periodic damping term condition, the existence and the uniqueness of a periodic solution have been proved by a constructive method. Two numerical examples are presented to illustrate the effect of the periodic damping term. MSC: 34B15, 34C15, 34C25.