The aim of this research is investigating the Hyers–Ulam stability of second-order differential equations. We introduce a new method of investigation for the stability of differential equations by using the Mahgoub transform. This is the first attempt of the investigation of Hyers–Ulam stability by using Mahgoub transform. We deal with both homogeneous and nonhomogeneous second-order differential equations.

中文翻译：

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使用Mahgoub变换的二阶微分方程的Hyers-Ulam稳定性

这项研究的目的是研究二阶微分方程的Hyers-Ulam稳定性。我们使用Mahgoub变换介绍了一种研究微分方程稳定性的新方法。这是使用Mahgoub变换研究Hyers-Ulam稳定性的首次尝试。我们处理齐次和非齐次二阶微分方程。