Uniform stability of damped nonlinear vibrations of an elastic string

Ganesh C Gorain; Sujit K Bose

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arXiv · math/0311527

Uniform stability of damped nonlinear vibrations of an elastic string

Ganesh C Gorain·Sujit K Bose

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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.

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BibTeX RIS

Ganesh C Gorain, Sujit K Bose. 2003-11-28. Uniform stability of damped nonlinear vibrations of an elastic string. https://arxiv.org/abs/math/0311527

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