Abstract and Applied Analysis
Volume 2007 (2007), Article ID 16938, 26 pages
doi:10.1155/2007/16938
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
Abstract
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.