Abstract
In this paper we consider differential inclusions driven by a maximalmonotone operator. First we show that for the nonconvex system the solutionset viewed as a multifunction of the initial condition admits a continuousselector passing from a prescribed point. Then we use this selector to showthe path connectedness of the solution set. We also investigate thecontinuity properties of the solution multifunction. Finally we solve aviability problem and we also establish the existence of periodic trajectories.
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