On the stability of linear differential equations of second order

	On the stability of linear differential equations of second order
International Journal of Nonlinear Analysis and Applications
مقاله 7، دوره 8، شماره 2، 2017، صفحه 65-70 اصل مقاله (345.05 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2017.1078.1226
نویسندگان
Abbas Najati^* ¹؛ Mohammad Abdollahpour¹؛ Choonkil Park²
¹Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil 56199-11367, Iran
²Department of Mathematics, Hanyang University, Seoul, 133--791, South Korea
چکیده
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].
کلیدواژه‌ها
Hyers-Ulam stability؛ linear differential equation of second order
آمار تعداد مشاهده مقاله: 44,506 تعداد دریافت فایل اصل مقاله: 51,501

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