Controllability Results for Semilinear Evolution Inclusions with Nonlocal Conditions

M. Benchohra, E.P. Gatsori and S.K. Ntouyas
Additional contact information
M. Benchohra: University of Sidi Bel Abbes
E.P. Gatsori: University of Ioannina
S.K. Ntouyas: University of Ioannina

Journal of Optimization Theory and Applications, 2003, vol. 118, issue 3, No 2, 493-513

Abstract: Abstract In this paper, we prove controllabillity results for mild solutions defined on a compact real interval for first-order semilinear differential and integrodifferential evolution inclusions in Banach spaces with nonlocal conditions. By using suitable fixed-point theorems, we study the cases when the multivalued map has convex values as well as nonconvex values.

Keywords: Initial-value problems; convex multivalued maps; mild solutions; evolution inclusions; nonlocal conditions; fixed points (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (2)

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DOI: 10.1023/B:JOTA.0000004868.61288.8e

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