We prove that any nonautonomous semilinear dynamics on a bounded interval with the property that the nonlinear part is Lipschitz with a sufficiently small Lipschitz constant exhibits Hyers–Ulam stability.

中文翻译：

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有界区间上非自治半线性动力学的Hyers-Ulam稳定性

我们证明，在非线性区间为Lipschitz且具有足够小的Lipschitz常数的属性的有界区间上的任何非自治半线性动力学都表现出Hyers-Ulam稳定性。