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Controllability Results for Evolution Inclusions with Non-Local Conditions

2003
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Zeitschrift für Analysis und ihre Anwendungen
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In this paper we prove controllability results for mild solutions defined on a compact real interval for first order differential evolution inclusions in Banach spaces with non-local conditions. By using suitable fixed point theorems we study the case when the multi-valued map has convex as well as non-convex values. determine the evolution t → y(t) of the location of a physical object for which we do not know the positions y(0) and y(t k ) for all k, but we know that the non-local condition

doi:10.4171/zaa/1153
fatcat:hcoqikoopzg6lf2aiey3c43nty