Hyers-Ulam Stability of Differential Equation y′′+2xy′−2ny=0

We solve the inhomogeneous differential equation of the form y′′+2xy′−2ny=∑m=0∞amxm, where n is a nonnegative integer, and apply this result to the proof of a local Hyers-Ulam stability of the differential equation y′&#...

Full description

Bibliographic Details
Main Author: Soon-Mo Jung
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2010/793197