Differential and Integral Equations

Decay rates for Timoshenko system with nonlinear arbitrary localized damping

D.S. Almeida Júnior, Flávio A. Falcão Nascimento, J.H. Rodrigues, and M.L. Santos

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We consider the Timoshenko model for vibrating beams under the localized effect of both nonlinear frictional damping acting on the transverse displacement equation and on the rotation angle equation. We have obtained the exponential stability behavior for solutions, using an observability result, which allows us to consider different speeds of propagation for the waves.

Article information

Differential Integral Equations, Volume 27, Number 1/2 (2014), 1-26.

First available in Project Euclid: 12 November 2013

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35B35: Stability 35B40: Asymptotic behavior of solutions


Santos, M.L.; Almeida Júnior, D.S.; Falcão Nascimento, Flávio A.; Rodrigues, J.H. Decay rates for Timoshenko system with nonlinear arbitrary localized damping. Differential Integral Equations 27 (2014), no. 1/2, 1--26. https://projecteuclid.org/euclid.die/1384282850

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