%0 Journal Article
%T Approximately $n$-order linear differential equations
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Javadian, Abbas
%D 2015
%\ 03/01/2015
%V 6
%N 1
%P 135-139
%! Approximately $n$-order linear differential equations
%K Hyers-Ulam stability
%K Linear differential equation
%K homogeneous equation
%R 10.22075/ijnaa.2015.224
%X 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.
%U https://ijnaa.semnan.ac.ir/article_224_a84b8807e79e99cb3fd176e47e83adbc.pdf