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Controllability results for impulsive functional differential inclusions
Authors:M Benchohra  SK Ntouyas
Institution:Laboratoire de Mathématiques, Université de Sidi Bel Abbés,BP 89, 22000 Sidi Bel Abbés, Algérie
Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland
Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece
Laboratoire de Mathématiques, Université de Sidi Bel Abbés,BP 89, 22000 Sidi Bel Abbés, Algérie
Abstract:Control problems appear in many branches of physics and technical sciences. In this paper weinvestigate the controllability of first order semilinear impulsive functional differential inclusions in the case where the right hand side is convex or nonconvex valued. All results are obtained by using fixed point results for multivalued mappings.
Keywords:Controllability  impulsive functional differential inclusions  fixed point  measurable  contraction multivalued maps  Banach space
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