Approximately $n$-order linear differential equations | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 17، دوره 6، شماره 1، 2015، صفحه 135-139 اصل مقاله (298.61 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2015.224 | ||
| نویسنده | ||
| Abbas Javadian | ||
| Semnan University, P.O. Box 35195-363, Semnan, Iran | ||
| چکیده | ||
| We prove the generalized Hyers--Ulam stability of $n$-th order linear differential equation of the form $$y^{(n)}+p_{1}(x)y^{(n-1)}+ \cdots+p_{n-1}(x)y^{\prime}+p_{n}(x)y=f(x),$$ with condition that there exists a non--zero solution of corresponding homogeneous equation. Our main results extend and improve the corresponding results obtained by many authors. | ||
| کلیدواژهها | ||
| Hyers-Ulam stability؛ Linear differential equation؛ homogeneous equation | ||
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