Electron. J. Diff. Eqns., Vol. 2003(2003), No. 29, pp. 1-14.

Uniform stabilization for the Timoshenko beam by a locally distributed damping

Abdelaziz Soufyane & Ali Wehbe

We study the uniform stabilization of a Timoshenko beam by one control force. We prove that under, one locally distributed damping, the exponential stability for this system is assured if and only if the wave speeds are the same

Submitted September 2, 2002. Published March 16, 2003.
Math Subject Classifications: 35L55, 93C05, 93C20, 93D15, 93D20, 93D30.
Key Words: Timohsenko beam, strong stability, non-uniform stability, uniform stability, Lyapunov function.

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Abdelaziz Soufyane
Math & Comp Sciences department
UAE University, PO Box 17551 Al Ain, UAE
email: Soufyane.Abdelaziz@uaeu.ac.ae
  Ali Wehbe
Universite Libanaise Faculte des Sciences, Section 1
Hadath, Beyrouth, Lebanon
email: ali_wehbe@yahoo.fr

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