Author/Authors :
Najati, Abbas Department of Mathematics - Faculty of Sciences - University of Mohaghegh Ardabili, Ardabil , Abdollahpour, Mohammad Reza Department of Mathematics - Faculty of Sciences - University of Mohaghegh Ardabili, Ardabil , Park, Choonkil Department of Mathematics - Hanyang University - Seoul, South Korea
Abstract :
The aim of this paper is to investigate the Hyers-Ulam stability of the linear differential equation
y"(x) + αy(x) + βy(x) = f(x)
in general case, where y ϵ C2[a; b]; f 2 C[a; b] and -∞ < α < b < +∞. The result of this paper
improves a result of Li and Shen [Hyers-Ulam stability of linear differential equations of second order,
Appl. Math. Lett. 23 (2010) 306{309].
