Corrigendum to Application of Pettis integration to delay second order differential inclusions

This paper serves as a corrigendum to the paper titled Application of Pettis integration to delay second order differential inclusions appearing in EJQTDE no. 88, 2012. We present here a corrected version of Theorem 3.1, because Proposition 2.2 is not true. 1 Correction In the above article, Proposition 2.2 is not true since the normed space P 1 E ([0, 1]) is not complete. Consequently, to correct Theorem 3.1 we have to assume that Γ1 is Pettis uniformly integrable and that Γ2 is integrably bounded. Then in the proof we can use Proposition 2.2 with L 1 E ([0, 1]) instead of P E ([0, 1]) to conclude the result. This version of Proposition 2.2 can be found in: A. Fryszkowski, Continuous selections for a class of nonconvex multivalued maps, Studia Math., 76, (1983), pp. 163-174. The authors thank an anonymous reader for pointing out the mistake. (Received April 8, 2013) EJQTDE, 2013 No. 27, p. 1