Hyers-Ulam Stability of Nonhomogeneous Linear Differential Equations of Second Order

The aim of this paper is to prove the stability in the sense of Hyers-Ulam of differential equation of second order y′′+p(x)y′+q(x)y+r(x)=0. That is, if f is an approximate solution of the equation y′′+p(x)y′+q(x)y+r(x)=0, then there exists an exact solution of the equation near to f.

Bibliographic Details
Main Authors: Yongjin Li, Yan Shen
Format: Article
Language:English
Published: Hindawi Limited 2009-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2009/576852