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

Hyers-Ulam stability of nonhomogeneous linear differential equations of second order

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.