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Quasi-periodic Solutions of Completely Resonant Forced Beam Equations
Gao Yixian *,Chen Bochao
College of Mathematics and Statistics, Northeast Normal University
*Correspondence author
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Funding: none
Opened online:28 October 2013
Accepted by: none
Citation: Gao Yixian,Chen Bochao.Quasi-periodic Solutions of Completely Resonant Forced Beam Equations[OL]. [28 October 2013] http://en.paper.edu.cn/en_releasepaper/content/4565116
 
 
This paper is concerned with the existence of quasi-periodic solutions with two frequencies of completely resonant, periodically forced nonlinear beam equations subject to periodic spatial boundary conditions. We consider both the cases the forcing frequency is: (Case A) a rational number and (Case B) an irrational number. The proofs are based on the variational Lyapunov-Schmidt reduction and the linking theorem.
Keywords:Beam equation; Quasi-periodic solutions; Lyapunov-Schmidt reduction; Linking theorem
 
 
 

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