Fourier Transformation and Stability of a Differential Equation on L1(ℝ)

Hamid Rezaei, Zahra Zafarasa and Lotfollah Karimi

International Journal of Mathematics and Mathematical Sciences, 2021, vol. 2021, issue 1

Abstract: 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 L1(ℝ) which is infinitely differentiable in ℝ∖{0}. Moreover the Hyers–Ulam stability of such equations on L1(ℝ) is investigated.

Date: 2021
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https://doi.org/10.1155/2021/5524430

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jijmms:v:2021:y:2021:i:1:n:5524430

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