Stability of global attractors of impulsive
infinite-dimensional systems
Authors
O. V. Kapustyan
N. A. Perestyuk
I. V. Romanyuk
Abstract
The stability of global attractor is proved for an impulsive infinite-dimensional dynamical system. The obtained abstract
results are applied to a weakly nonlinear parabolic equation whose solutions are subjected to impulsive perturbations at the
times of intersection with a certain surface of the phase space.