Gorain, Ganesh C. ; Bose, Sujit K. (2003) Uniform stability of damped nonlinear vibrations of an elastic string Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 113 (4). pp. 443-449. ISSN 0253-4142
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Official URL: http://ns1.ias.ac.in/mathsci/vol113/nov2003/Pm2196...
Related URL: http://dx.doi.org/10.1007/BF02829635
Abstract
Here we are concerned about uniform stability of damped nonlinear transverse vibrations of an elastic string fixed at its two ends. The vibrations governed by nonlinear integro-differential equation of Kirchoff type, is shown to possess energy uniformly bounded by exponentially decaying function of time. The result is achieved by considering an energy-like Lyapunov functional for the system.
Item Type: | Article |
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Source: | Copyright of this article belongs to Indian Academy of Sciences. |
Keywords: | Uniform Stability; Kirchoff Type Wave Equation; Lyapunov Functional; Exponential Energy Decay |
ID Code: | 6268 |
Deposited On: | 20 Oct 2010 11:20 |
Last Modified: | 16 May 2016 16:36 |
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