The Fourier transform approach to Hyers-Ulam stability of differential equation of second order. (July 2020)

• Record Type: Journal Article
• Authors: Mohanapriya, A; Ganesh, A; Gunasekaran, Nallappan
• Is Part Of: Journal of physics. Volume 1597(2020)
• Publication Date: 2020-07
• Subjects: Hyers-Ulam stability -- Generalized Hyers-Ulam stability -- Linear Differential Equation -- Fourier Transform; Physics -- Congresses; 530.5
• DOI: 10.1088/1742-6596/1597/1/012027
• Languages: English
• ISSNs: 1742-6588

Abstract

Abstract: The use of Fourier transform has increased in the light of recent events in different application. Fourier transform is also seen as the easiest and an effective way among the other transformation. In line with this, the research deals with the Hyers-Ulam stability of second order differential equation using Fourier transform. The study aims at deriving a generalized Hyers-Ulam results for second order differential equations with constant co-efficient H ″ ( v ) + a H ′ ( v ) + b H ( v ) = r ( t ) with the help of Fourier Transform.