Abstract and Applied Analysis
Volume 2007 (2007), Article ID 56419, 14 pages
Legendre's Differential Equation and Its Hyers-Ulam Stability
Mathematics Section, College of Science and Technology, Hong-Ik University, Chochiwon 339-701, South Korea
Received 9 June 2007; Revised 15 July 2007; Accepted 16 July 2007
Academic Editor: John Michael Rassias
Copyright © 2007 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.
We solve the nonhomogeneous Legendre's differential equation and apply this result to obtaining a partial solution to the Hyers-Ulam stability problem for the Legendre's equation.