Uniform stability of damped nonlinear vibrations of an elastic string

Details Uniform stability of damped nonlinear vibrations of an elastic string Uniform stability of damped nonlinear vibrations of an elastic string

2003-11-28

arxiv.org/abs/math/0311527v1

Proc. Indian Acad. Sci. (Math. Sci.), Vol. 113, No. 4, November 2003, pp. 443-449

Mathematics

Optimization and Control

7 pages, no figures, no tables

Scientific paper

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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