LOCALIZATION OF THE LIMIT SET FOR A CLASS OF NONLINEAR DISTRIBUTED PARAMETER SYSTEMS
In this paper, a class of bounded perturbations of a linear
differential equation in a Banach space is considered. Sufficient
conditions for the relative compactness of trajectories of the
perturbed system is proposed. Such conditions are shown to be
applicable for a nonlinear differential equation without assuming
that the corresponding infinitesimal generator is dissipative.