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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

Byungbae Kim and Soon-Mo Jung

Mathematics Section, College of Science and Technology, Hong-Ik University, Chochiwon 339-701, South Korea

Received 23 August 2007; Accepted 25 October 2007

Recommended by Panayiotis D. Siafarikas

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.