Existence results for second-order nonlinear differential inclusion with nonlocal boundary conditions
Noureddine Bouteraa, Slimane Benaicha
University of Oran1, Ahmed Benbella. Algeria
Keywords: second-order, differential inclusion, multi-valued, selection theorem
Abstract
In this paper, we investigate the existence of solutions for a second-order differential inclusion with nonlocal boundary conditions. To establish the existence results for the given problem, first we apply Schaefer's fixed point theorem combined with a selection theorem due to Bressan and Colombo. Second, our result is based on the fixed point theorem for multivalued maps due to Covitz and Nadler. An example is given to illustrate the obtained results.
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