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arXiv · 2005.03296

Fourier transformation and stability of differential equation on $L^1(\Bbb{R})$

H. Rezaei·Z. Zafarasa
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Abstract

In the present paper by the Fourier transform we show that every linear differential equations of $n$-th order has a solution in $L^1(\Bbb{R})$ which is infinitely differentiable in $\Bbb{R} \setminus \{0\}$. Moreover the Hyers-Ulam stability of such equations on $L^1(\Bbb{R})$ is investigated.

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BibTeXRIS

H. Rezaei, Z. Zafarasa. 2020-05-07. Fourier transformation and stability of differential equation on $L^1(\Bbb{R})$. https://arxiv.org/abs/2005.03296

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