Journal of Applied Analysis 08 (2002), No. 1, 033--048
Copyright Heldermann Verlag 2002
Existence and Controllability Results for Nonlinear Differential Inclusions with Nonlocal Conditions in Banach Spaces
M. Benchohra
Dept. of Mathematics, University of Sidi Bel Abbes, 22000 Sidi Bel Abbes, Algeria
S. K. Ntouyas
Dept. of Mathematics, University of Ioannina, 45110 Ioannina, Greece
We investigate the existence and controllability of mild solutions to the first order semilinear evolution inclusions in Banach spaces with nonlocal conditions. We shall rely of a fixed point theorem for condensing maps due to Martelli.
Keywords: Nonlocal condition, convex multivalued map, mild solution, evolution inclusion, controllability, nonlocal condition, fixed point.
MSC: 34A99, 47H20; 34A60, 34G20, 35R10, 93B05
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