On a Class of Multitime Evolution Equations with Nonlocal Initial Conditions

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.

Bibliographic Details
Main Authors: F. Zouyed, F. Rebbani, N. Boussetila
Format: Article
Language:English
Published: Hindawi Limited 2007-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2007/16938
Description
Summary: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.
ISSN:1085-3375
1687-0409