Hyers-Ulam Stability of Differential Equation y′′+2xy′−2ny=0. (25th November 2009)

• Record Type: Journal Article
• Authors: Jung, Soon-Mo
• Other Names: Cho Yeol Je Academic Editor.
• Is Part Of: Journal of inequalities and applications. Volume 2010(2010)
• Publication Date: 2009-11-25
• Subjects: Inequalities (Mathematics) -- Periodicals; 512.97
• DOI: 10.1155/2010/793197
• Languages: English
• ISSNs: 1029-242X

Abstract

Abstract : We solve the inhomogeneous differential equation of the formy ′′ + 2 x y ′ − 2 n y = ∑ m = 0 ∞ a m x m, wheren is a nonnegative integer, and apply this result to the proof of a local Hyers-Ulam stability of the differential equationy ′′ + 2 x y ′ − 2 n y = 0 in a special class of analytic functions.