Abstract and Applied Analysis
Volume 2007 (2007), Article ID 16938, 26 pages
On a Class of Multitime Evolution Equations with Nonlocal Initial Conditions
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.