In this paper, we present a systematic renormalization group method to investigate a class of singularly perturbed delay differential equations. The uniformly valid approximate solution can be obtained, and we give a rigorous proof of the error estimate of the approximate solution. In addition, some numerical comparisons between the exact solution, the result by the averaging method and our result are given for two examples.

中文翻译：

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一类奇异摄动时滞微分方程的重整化群方法

在本文中，我们提出了一种系统重整化群方法来研究一类奇异摄动延迟微分方程。可以得到一致有效的近似解，并对近似解的误差估计给出严格的证明。此外，给出了两个例子的精确解、平均法的结果和我们的结果之间的一些数值比较。