In this paper, new oscillation results for nonlinear third-order difference equations with mixed neutral terms are established. Unlike previously used techniques, which often were based on Riccati transformation and involve limsup or liminf conditions for the oscillation, the main results are obtained by means of a new approach, which is based on a comparison technique. Our new results extend, simplify, and improve existing results in the literature. Two examples with specific values of parameters are offered.

中文翻译：

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具有混合中性项的非线性三阶差分方程的振动性

本文建立了具有混合中性项的非线性三阶差分方程的新振动结果。与以前使用的技术（通常基于Riccati变换并涉及limsup或liminf条件进行振荡）不同，主要结果是通过一种基于比较技术的新方法获得的。我们的新结果扩展，简化和改进了文献中的现有结果。提供了两个带有特定参数值的示例。