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

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

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.