Abstract and Applied Analysis
Volume 2007 (2007), Article ID 16938, 26 pages
Research Article

On a Class of Multitime Evolution Equations with Nonlocal Initial Conditions

F. Zouyed, F. Rebbani, and N. Boussetila

Applied Math Lab, University Badji Mokhtar-Annaba, P.O. Box 12, Annaba 23000, Algeria

Received 18 January 2007; Accepted 8 May 2007

Academic Editor: Agacik Zafer

Copyright © 2007 F. Zouyed et al. 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.


The existence and uniqueness of the strong solution for a multitime evolution equation with nonlocal initial conditions are proved. The proof is essentially based on a priori estimates and on the density of the range of the operator generated by the considered problem.