Zeitschrift für Analysis und ihre Anwendungen 22 (2003), No. 2, 411--431
Copyright Heldermann Verlag 2003
Controllability Results for Evolution Inclusions with Non-Local Conditions
Mouffak Benchohra
Lab. de Mathématique, Université de Sidi Bel-Abbès, 22000 Sidi Bel-Abbès, Algeria
E. P. Gatsori
Dept. of Mathematics, University of Ioannina, 451 10 Ioannina, Greece
L. Gorniewicz
Faculty of Mathematics and Information Science, University of Torun, 87-100 Torun, Poland
S. K. Ntouyas
Dept. of Mathematics, University of Ioannina, 451 10 Ioannina, Greece
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.
Keywords: Control problems, evolution differential inclusions, set-valued operators.
MSC: 34A60; 34K35, 35G25, 47H05
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