Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 80, pp. 1-5.

Title: Hyers-Ulam stability for second-order linear differential
       equations with boundary conditions
       
Authors: Pasc Gavruta (Univ. Politehnica of Timisoara, Romania)
         Soon-Mo Jung (Hongik Univ., Korea)
	 Yongjin Li (Sun Yat-Sen Univ., Guangzhou, China)

Abstract:
  We prove the Hyers-Ulam stability of linear differential
  equations of second-order with boundary conditions or
  with initial conditions. That is, if y is an approximate
  solution of the  differential equation $y''+ \beta (x) y = 0$
  with $y(a) = y(b) =0$, then there exists an exact solution
  of the differential equation, near y.

Submitted April 26, 2011. Published June 20, 2011.
Math Subject Classifications: 34K20, 26D10.
Key Words: Hyers-Ulam stability, differential equation.