Ulam stability of linear differential equations using Fourier transform

Abstract

The purpose of this paper is to study the Hyers-Ulam stability and generalized HyersUlam stability of general linear differential equations of nth order with constant coefficients by using the Fourier transform method. Moreover, the Hyers-Ulam stability constants are obtained for these differential equations.

Keywords

• hyers-ulam stability
• generalized hyers-ulam stability
• nth order linear differential equation
• fourier transform method
• hyers-ulam constant