Hyers–Ulam stability; Linear differential equations; Mahgoub transform
Issue Date
2021-01
Publisher
SPRINGER
Citation
ADVANCES IN DIFFERENCE EQUATIONS, v. 2021, no. 1, article no. 23, page. 1-10
Abstract
The aim of this research is investigating the Hyers-Ulam stability of second-order differential equations. We introduce a new method of investigation for the stability of differential equations by using the Mahgoub transform. This is the first attempt of the investigation of Hyers-Ulam stability by using Mahgoub transform. We deal with both homogeneous and nonhomogeneous second-order differential equations.