Periodic oscillation in suspension bridge model with a periodic damping term

Boundary value problems

Lin Wang¹  Jian Zu² 

[1] College of Mathematics, Jilin University, Changchun, P.R. China;School of Mathematics and Statistics, Northeast Normal University, Changchun, P.R. China

关键词: periodic damping term;    suspension bridge model;    jumping nonlinearity;    Leray-Schauder degree;   

DOI  :  10.1186/s13661-014-0231-2

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY