General energy decay rates for a weakly damped Timoshenko system-Reference-Cited by-同舟云学术

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General energy decay rates for a weakly damped Timoshenko system

Published:2010-04 Issue:2 Volume:16 Page:211-226
ISSN:1079-2724
Container-title:Journal of Dynamical and Control Systems
language:en
Short-container-title:J Dyn Control Syst

Author:

Mustafa M. I.,Messaoudi S. A.

Publisher

Springer Science and Business Media LLC

Subject

Control and Optimization,Numerical Analysis,Algebra and Number Theory,Control and Systems Engineering

Link

http://link.springer.com/content/pdf/10.1007/s10883-010-9090-z.pdf

Reference28 articles.

1. F. Alabau-Boussouira, Asymptotic behavior for Timoshenko beams subject to a single nonlinear feedback control. Nonlin. Differ. Equations Appl. 14 (2007), Nos. 5-6, 643–660.

2. _____, Convexity and weighted integral inequalities for energy decay rates of nonlinear dissipative hyperbolic systems. Appl. Math. Optim. 51 (2005), No. 1, 61–105.

3. F. Ammar-Khodja, A. Benabdallah, J. E. Muñoz Rivera, and R. Racke, Energy decay for Timoshenko systems of memory type. J. Differ. Equations 194 (2003), No. 1, 82–115.

4. V. I. Arnold, Mathematical methods of classical mechanics. Springer-Verlag, New York (1989).

5. M. Cavalcanti, V. Cavalcanti, and I. Lasiecka, Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping-source interaction. J. Differ. Equations 236 (2007), 407–459.

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