On the stability of linear differential equations of second order
نویسندگان
1 Department of Mathematics, Hanyang University, Seoul, 133--791, South Korea
2 Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil 56199-11367, Iran
3 Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil 56199-11367, Iran
doi
10.22075/ijnaa.2017.1078.1226چکیده
The aim of this paper is to investigate the Hyers-Ulam stability of the linear differential equation$$y''(x)+\alpha y'(x)+\beta y(x)=f(x)$$in general case, where $y\in C^2[a,b],$ $f\in C[a,b]$ and $-\infty<a<b<+\infty$. The result of this paper improves a result of Li and Shen [\textit{Hyers-Ulam stability of linear differential equations of second order,} Appl. Math. Lett. 23 (2010) 306--309].
