Acta mathematica scientia,Series A ›› 2012, Vol. 32 ›› Issue (1): 186-200.

• Articles • Previous Articles     Next Articles

Stability for the Nonhomogeneous Timoshenko Beam with Local Memory Damping

 ZHANG Chun-Guo   

  1. Department of Mathematics, Hangzhou Dianzi University, Hangzhou 310018)
  • Received:2010-08-20 Revised:2011-06-25 Online:2012-02-25 Published:2012-02-25
  • Supported by:

    国家自然科学基金(10771048)和杭州电子科技大学科研项目(ZX100204004-5)资助

Abstract:

In this paper, the author studies the stability for the nonhomogeneous Timoshenko beam with one local memory damping. The exponential stability under certain hypothesis is proved. The method is based on the operator semigroup theory, the multiplier technique, and the contradiction argument of the frequency domain method.

Key words: Local memory damping, Multiplier technique, Exponential stability, Frequency domain method

CLC Number: 

  • 35B37
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