Controllability of Impulsive Evolution Inclusions with Nonlocal Conditions

M. Guo, X. Xue and R. Li

Journal of Optimization Theory and Applications, 2004, vol. 120, issue 2, No 6, 355-374

Abstract: Abstract In this paper, we examine controllability problems of evolution inclusions with nonlocal conditions. Using the set-valued and single-valued Mönch 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.

Keywords: Controllability; evolution systems; nonlocal conditions; Mönch fixed-point theorem (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1023/B:JOTA.0000015688.53162.eb

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