Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68226120150220Approximately $n$-order linear differential equations13513922410.22075/ijnaa.2015.224ENAbbasJavadianSemnan University, P.O. Box 35195-363, Semnan, IranJournal Article20140118We 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.https://ijnaa.semnan.ac.ir/article_224_a84b8807e79e99cb3fd176e47e83adbc.pdf