Journal of Inequalities and Applications
Volume 2006 (2006), Article ID 48606, 7 pages

Upper bounds for the eigenvalues of differential equations

Samir Karaa

Department of Mathematics and Statistics, Sultan Qaboos University, P.O. Box 36, Al-Khod, Muscat 123, Oman

Received 10 February 2004; Accepted 4 May 2004

Copyright © 2006 Samir Karaa. 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 establish upper bounds for the eigenvalues of second-order and fourth-order differential equations. The inequalities are obtained via rearrangements of higher degree.