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Boundary feedback stabilization of the undamped Timoshenko beam with both ends free
Authors:Chun-Guo Zhang
Affiliation:Department of Mathematics, Hangzhou Dianzi University, Hangzhou Zhejiang, China
Abstract:In this paper, we study a boundary feedback system of a class of nonuniform undamped Timoshenko beam with both ends free. We give some sufficient conditions and some necessary conditions for the system to have exponential stability. Our method is based on the operator semigroup technique, the multiplier technique, and the contradiction argument of the frequency domain method.
Keywords:  mmlsi1"   onclick="  submitCitation('/science?_ob=MathURL&  _method=retrieve&  _eid=1-s2.0-S0022247X06000266&  _mathId=si1.gif&  _pii=S0022247X06000266&  _issn=0022247X&  _acct=C000054348&  _version=1&  _userid=3837164&  md5=deb9e7fa6323aacf0fa0d295474e9f84')"   style="  cursor:pointer  "   alt="  Click to view the MathML source"   title="  Click to view the MathML source"  >  formulatext"   title="  click to view the MathML source"  >C0-semigroup   Timoshenko beam   Exponential stability   Frequency domain method
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