January/February 2014 Decay rates for Timoshenko system with nonlinear arbitrary localized damping
D.S. Almeida Júnior, Flávio A. Falcão Nascimento, J.H. Rodrigues, M.L. Santos
Differential Integral Equations 27(1/2): 1-26 (January/February 2014). DOI: 10.57262/die/1384282850

Abstract

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.

Citation

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D.S. Almeida Júnior. Flávio A. Falcão Nascimento. J.H. Rodrigues. M.L. Santos. "Decay rates for Timoshenko system with nonlinear arbitrary localized damping." Differential Integral Equations 27 (1/2) 1 - 26, January/February 2014. https://doi.org/10.57262/die/1384282850

Information

Published: January/February 2014
First available in Project Euclid: 12 November 2013

zbMATH: 1313.35025
MathSciNet: MR3161592
Digital Object Identifier: 10.57262/die/1384282850

Subjects:
Primary: 35B35 , 35B40

Rights: Copyright © 2014 Khayyam Publishing, Inc.

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Vol.27 • No. 1/2 • January/February 2014
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