International Journal of Mathematics and Mathematical Sciences
Volume 2009 (2009), Article ID 576852, 7 pages
doi:10.1155/2009/576852
Research Article

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

Yongjin Li and Yan Shen

Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, China

Received 1 July 2009; Accepted 25 September 2009

Academic Editor: Seppo Hassi

Copyright © 2009 Yongjin Li and Yan Shen. 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.

Abstract

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.