论文标题
$ l^1（\ bbb {r}）$上微分方程的傅立叶变换和稳定性
Fourier transformation and stability of differential equation on $L^1(\Bbb{R})$
论文作者
论文摘要
在本文的傅立叶变换的本文中，我们表明，$ n $ th订单的每个线性微分方程在$ l^1（\ bbb {r}）$中都有一个解决方案，该方程在$ \ bbb {r} \ setMinus \ {0 \} $中是无限差的。此外，研究了此类方程式在$ l^1（\ bbb {r}）$上的hyers-ulam稳定性。
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.
