Abstract The aim of this work is to study the oscillatory properties of the solutions of fourth-order delay differential equations with a p-Laplacian like operator of the form ( r ( ν ) | w ″ ′ ( ν ) | p 1 − 2 w ″ ′ ( ν ) ) ′ + q ( ν ) | w ( η ( ν ) ) | p 2 − 2 w ( η ( ν ) ) = 0 . The results obtained are based on the comparison with first and second-order differential equations and the use of a Riccati transformation. Some examples are provided to illustrate the main results.

中文翻译：

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关于某类p-Laplacian类算子的四阶微分方程的振荡

摘要 这项工作的目的是研究四阶延迟微分方程解的振荡特性，其形式为 ( r ( ν ) | w ″ ′ ( ν ) | p 1 − 2 w ″ ′ ( ν ) ) ′ + q ( ν ) | w ( η ( ν ) ) | p 2 − 2 w ( η ( ν ) ) = 0 。获得的结果基于与一阶和二阶微分方程的比较以及 Riccati 变换的使用。提供了一些例子来说明主要结果。