Abstract and Applied Analysis
Volume 2011 (2011), Article ID 476392, 9 pages
http://dx.doi.org/10.1155/2011/476392
Research Article

Solutions of a Class of Deviated-Advanced Nonlocal Problems for the Differential Inclusion 𝑥 1 ( 𝑡 ) ∈ 𝐹 ( 𝑡 , 𝑥 ( 𝑡 ) )

A. M. A. El-Sayed,1 E. M. Hamdallah,1 and Kh. W. Elkadeky2

1Faculty of Science, Alexandria University, Alexandria, Egypt
2Faculty of Science, Garyounis University, Benghazi, Libya

Received 19 January 2011; Accepted 27 April 2011

Academic Editor: Stephen Clark

Copyright © 2011 A. M. A. El-Sayed 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.

Abstract

We study the existence of solutions for deviated-advanced nonlocal and integral condition problems for the differential inclusion 𝑥 1 ( 𝑡 ) ∈ 𝐹 ( 𝑡 , 𝑥 ( 𝑡 ) ) .