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.