In this paper, new oscillation criteria for second-order half-linear difference equations with several variable advanced arguments are obtained, which improve the existing results. Our approach is better than the ones in the literature, only based on sequentially improved monotonicity of the nonoscillatory solutions. For we all know, this method is rare in the study of the oscillation of difference equations. Some relevant examples are indicated to illustrate our results.

中文翻译：

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具有多个变量高级参数的差分方程振荡的新方法

在本文中，获得了具有多个可变高级参数的二阶半线性差分方程的新振荡准则，从而改进了现有结果。我们的方法优于文献中的方法，仅基于非振荡解决方案的顺序改进单调性。众所周知，这种方法在差分方程的振荡研究中是很少见的。给出了一些相关的例子来说明我们的结果。