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


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.