Fourier transformation and stability of a differential equation on \(L^1(\mathbb{R})\)
type: Item
instance of: scholarly article
title: Fourier transformation and stability of a differential equation on \(L^1(\mathbb{R})\)
zbMATH Open document ID: 1486.34046
DOI: 10.1155/2021/5524430
author: H. Rezaei
author: Zahra Zafarasa
author: Lotfollah Karimi
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2021-09-08T00:00:00Z
review text: Summary: In the present paper, by the Fourier transform, we show that every linear differential equation with constant coefficients of \(n\)-th order has a solution in \(L^1(\mathbb{R})\) which is infinitely differentiable in \(\mathbb{R}\smallsetminus \{0\}\). Moreover the Hyers-Ulam stability of such equations on \(L^1(\mathbb{R})\) is investigated.
Mathematics Subject Classification ID: 34A25
Mathematics Subject Classification ID: 34C20
Mathematics Subject Classification ID: 42A16
zbMATH DE Number: 7392332
zbMATH Keywords: Fourier transform
zbMATH Keywords: Hyers-Ulam stability
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/5524430
OpenAlex ID: W3183105647
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description: scientific article; zbMATH DE number 7392332