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Discrete and Continuous Dynamical Systems
Article . 2003 . Peer-reviewed
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Global stability for damped Timoshenko systems

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2003 Germany English Publisher:American Institute of Mathematical Sciences (AIMS)Journal:Discrete & Continuous Dynamical Systems - A, volume 9, pages 1,625-1,639 (issn: 1553-5231, Copyright policy )
Authors: Muñoz Rivera, Jaime E.; Racke, Reinhard;

doi: 10.3934/dcds.2003.9.1625

Global stability for damped Timoshenko systems

Abstract

A mixed problem for a nonlinear one-dimensional Timoshenko system is studied. In the special linear case, sufficient and necessary conditions are given which guarantee the exponential stability. In more general linear case, the polynomial decay and in the nonlinear case the exponential decay of small solutions are proved.

Country
Germany
Related Organizations
Keywords

exponential stability, Asymptotic behavior of solutions to PDEs, frictional damping, info:eu-repo/classification/ddc/510, Initial-boundary value problems for higher-order hyperbolic equations

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    selected citations
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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 160
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
160
Top 1%
Top 1%
Average
Green
gold