In this work, we present new necessary and sufficient conditions for the oscillation of a class of second-order neutral delay impulsive differential equations. Our oscillation results complement, simplify and improve recent results on oscillation theory of this type of nonlinear neutral impulsive differential equations that appear in the literature. An example is provided to illustrate the value of the main results.

中文翻译：

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混合多时滞的二阶脉冲微分系统

在这项工作中，我们为一类二阶中性延迟脉冲微分方程的振荡提出了新的充分必要条件。我们的振荡结果补充、简化和改进了文献中出现的此类非线性中性脉冲微分方程的振荡理论的最新结果。提供了一个例子来说明主要结果的价值。