Reem A. Al-Omair, Ahmed G. Ibrahim
In this paper we prove the existence of a mild solution for a semilinear evolution differential inclusion with nonlocal condition and governed by a family of linear operators, not necessarily bounded or closed, in a Banach space. No compactness assumption is assumed on the evolution operator generated by the family operators. Also, we prove that the set of mild solutions is compact.
Submitted January 1, 2009. Published March 24, 2009.
Math Subject Classifications: 34A60.
Key Words: Evolution operator; generalized Cauchy operator; measure of noncompactness; differential inclusions; nonlocal conditions; mild solutions.
Show me the PDF file (207 KB), TEX file, and other files for this article.
| Reem A. Al-Omair |
King Faisal University, Collage of Education in Jubail
Mathematics Department, Jubail, Saudi Arabia
| Ahmed G. Ibrahim |
Cairo University, Faculty of Science
Mathematics Department, Egypt
Return to the EJDE web page