2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/120715In this paper, stochastic inertial manifold for damped wave equations subjected to additive white noise is constructed by the Lyapunov-Perron method. It is proved that when the intensity of noise tends to zero the stochastic inertial manifold converges to its deterministic counterpart almost surely.18 pages, no figuresDynamical SystemsProbability37L25; 37L55; 60H15text