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.
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Mouffak Benchohra, E. P. Gatsori, S. K. Ntouyas, L. Gorniewicz, Controllability Results for Evolution Inclusions with Non-Local Conditions. Z. Anal. Anwend. 22 (2003), no. 2, pp. 411–431DOI 10.4171/ZAA/1153