Department of Mathematics, University of Larbi Ben M'Hidi, Oum El Bouagui 04000, Algeria
Academic Editor: Alexander M. Krasnosel'skii
Copyright © 2010 Abdelfatah Bouziani and Rachid Mechri. 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.
This paper is devoted to prove, in a nonclassical function space,
the weak solvability of parabolic integrodifferential equations with a nonclassical boundary conditions. The investigation is made by means of approximation by the Rothes method which is based on a semidiscretization of the given problem with respect to the time variable.