Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 21640, 8 pages
doi:10.1155/2007/21640
Research Article
Bessel's Differential Equation and Its Hyers-Ulam Stability
Mathematics Section, College of Science and Technology, Hong-Ik University, Chochiwon 339-701, South Korea
Received 23 August 2007; Accepted 25 October 2007
Academic Editor: Panayiotis D. Siafarikas
Copyright © 2007 Byungbae Kim and Soon-Mo Jung. 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 solve the inhomogeneous Bessel differential equation and apply this result to obtain a partial solution to the Hyers-Ulam stability problem for the Bessel differential equation.