JournalszaaVol. 22, No. 2pp. 411–431

Controllability Results for Evolution Inclusions with Non-Local Conditions

  • M. Benchohra

    Université de Sidi Bel-Abbès, Algeria

  • E. P. Gatsori

    University of Ioannina, Greece

  • L. Górniewicz

    Nicolaus Copernicus University, Toruń, Poland

  • S. K. Ntouyas

    University of Ioannina, Greece
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Abstract

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.

Cite this article

M. Benchohra, E. P. Gatsori, L. Górniewicz, S. K. Ntouyas, Controllability Results for Evolution Inclusions with Non-Local Conditions. Z. Anal. Anwend. 22 (2003), no. 2, pp. 411–431

DOI 10.4171/ZAA/1153