Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 156, pp. 1-8.

Title: Hyers-Ulam stability for Gegenbauer differential  equations
        
Author: Soon-Mo Jung (Hongik Univ., Sejong, South Korea)

Abstract:
 Using the power series method, we  solve the non-homogeneous
 Gegenbauer differential equation
 $$
 ( 1 - x^2 )y''(x) + n(n-1)y(x) = \sum_{m=0}^\infty a_m x^m.
 $$
 Also we prove the Hyers-Ulam stability for the Gegenbauer
 differential equation.

Submitted June 19, 2013. Published July 08, 2013.
Math Subject Classifications: 39B82, 41A30, 34A30, 34A25, 34A05.
Key Words: Gegenbauer differential equation; Hyers-Ulam stability;
           power series method; second order differential equation.