Root / Conference Proceedings / 5th International Conference on Physics and Control (PhysCon 2011) / LOCALIZATION OF THE LIMIT SET FOR A CLASS OF NONLINEAR DISTRIBUTED PARAMETER SYSTEMS
LOCALIZATION OF THE LIMIT SET FOR A CLASS OF NONLINEAR DISTRIBUTED PARAMETER SYSTEMS
Alexander Zuyev
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.
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