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Uniform stability of damped nonlinear vibrations of an elastic string

Research paper by Ganesh C Gorain, Sujit K Bose

Indexed on: 28 Nov '03Published on: 28 Nov '03Published in: Mathematics - Optimization and Control



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.