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Abstract and Applied Analysis
Volume 2017 (2017), Article ID 4248304, 4 pages
Research Article

Applications of the -Drazin Inverse to the Heat Equation and a Delay Differential Equation

Department of Mathematics, College of Arts and Sciences, Khalifa University for Science and Technology-The Petroleum Institute, P. O. Box 2533, Abu Dhabi, UAE

Correspondence should be addressed to Alrazi Abdeljabbar

Received 11 June 2017; Accepted 11 October 2017; Published 1 November 2017

Academic Editor: Carlos Lizama

Copyright © 2017 Alrazi Abdeljabbar and Trung Dinh Tran. 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.


We consider applications of the -Drazin inverse to some classes of abstract Cauchy problems, namely, the heat equation with operator coefficient and delay differential equations in Banach space.