Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, P. O. Box 5046 Dhahran, 31261, Saudi Arabia
Copyright © 2011 Abdelkader Boucherif. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We discuss conditions for the existence of at least one solution of a discontinuous parabolic equation with lower semicontinuous right hand side and a nonlocal initial condition of
integral type. Our technique is based on fixed point theorems for multivalued maps.