2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69392Here 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.7 pages, no figures, no tablesOptimization and Controltext