On the existence of solutions for a quadratic integral inclusion
Aurelian Cernea · LIBERTAS MATHEMATICA (new series) · 2014
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.