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On the existence of solutions for a quadratic integral inclusion

Aurelian Cernea

Abstract


The existence of solutions of a quadratic integral inclusion is ob-
tained in the case when the set-valued map has non convex values and
is lower semicontinuous. The proof is based on the Leray-Schauder
alternative for single-valued maps and Bressan-Colombo-Fryszkowski
selection theorem.

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DOI: http://dx.doi.org/10.14510%2Flm-ns.v34i1.1230