Boundary controllability for a nonlinear beam equation

This article concerns a nonlinear system modeling the bending vibrations of a nonlinear beam of length $L>0$. First, we derive the existence of long time solutions near an equilibrium. Then we prove that the nonlinear beam is locally exact controllable around the equilibrium in $H^4(0,L)$ and...

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Bibliographic Details
Main Author: Xiao-Min Cao
Format: Article
Language:English
Published: Texas State University 2015-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2015/239/abstr.html