Hyers-Ulam stability of first order linear differential equation using Fourier transform method

This research paper aims to identify and also tries to prove differential equation of first order that has Hyers-Ulam and Generalized Hyers-Ulam stability by inducing Fourier Transform method.The analysis of the Hyers-Ulam stability had resulted in providing a constant value for homogeneous and non-...

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Bibliographic Details
Published in:Journal of physics. Conference series 2020-07, Vol.1597 (1), p.12026
Main Authors: Mohanapriya, A, Ganesh, A
Format: Article
Language:English
Subjects:
Differential Equation
Differential equations
Fourier Transform
Fourier transforms
Generalized Hyers-Ulam stability
Hyers-Ulam stability
Physics
Scientific papers
Stability analysis
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Summary:This research paper aims to identify and also tries to prove differential equation of first order that has Hyers-Ulam and Generalized Hyers-Ulam stability by inducing Fourier Transform method.The analysis of the Hyers-Ulam stability had resulted in providing a constant value for homogeneous and non-homogeneous differential equation with implementation of Fourier transform. In order to prove these facts, few application of non-homogeneous linear differential equation in connect with the main results are provided.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1597/1/012026