Abstract
In this paper, we examine controllability problems of evolution inclusions with nonlocal conditions. Using the set-valued and single-valued Monch fixed-point theorem, we establish some sufficient conditions for the controllability under convex and nonconvex orientor fields respectively. Our approach is different from all previous approaches; we do not assume that the evolution system generates a compact semigroup; so, our method is applicable to a wide class of (impulsive) control systems and evolution inclusions in Banach spaces.
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