Journal of Inequalities and Applications
Volume 2006 (2006), Article ID 48606, 7 pages
doi:10.1155/JIA/2006/48606
Upper bounds for the eigenvalues of differential equations
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.
Abstract
We establish upper bounds for the eigenvalues of second-order and fourth-order
differential equations. The inequalities are obtained via rearrangements
of higher degree.