Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 184, pp. 1-7.

Title: Hyers-Ulam stability of linear second-order differential equations
       in complex Banach spaces

Authors: Yongjin Li (Sun Yat-Sen Univ., Guangzhou,  China)
        Jinghao Huang (Sun Yat-Sen Univ., Guangzhou,  China)

Abstract:
 We prove the Hyers-Ulam stability of linear second-order differential equations
 in complex Banach spaces. That is, if y is an approximate solution of the
 differential equation $y''+ \alpha y'(t) +\beta y = 0$ or
 $y''+ \alpha y'(t) +\beta y = f(t)$, then there exists an exact
 solution of the  differential  equation near to y.

Submitted May 1, 2013. Published August 10, 2013.
Math Subject Classifications: 34K20, 26D10.
Key Words: Hyers-Ulam stability; differential equation.