This paper is concerned with the oscillatory behavior of solutions of the $n$th-order nonlinear differential equations with an advanced argument $x^{\left(n\right)}\left(t\right)+\delta q\left(t\right)x^{\lambda }\left(g\left(t\right)\right)=0,t\ge t_0>0,$ where $n\ge 2$ is even or odd and $\delta =\pm 1$. Here $q\left(t\right)>0$, $g\left(t\right)\ge t$, and $\lambda$ is the ratio of odd positive integers. The results are illustrated with an example.

中文翻译：

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具有高级自变量的高阶泛函微分方程的振动性

本文关注的是解的振动性。 $ñ$具有高级自变量的三阶非线性微分方程 $X^{（ñ）}（Ť）+\delta q（Ť）X^{\lambda }（G（Ť））=0，Ť\ge {Ť}_0>0，$ 哪里 $ñ\ge 2$ 是偶数还是奇数 $\delta =\pm \mathrm{1个}$。这里$q（Ť）>0$， $G（Ť）\ge Ť$和 $\lambda$是奇数正整数的比率。结果用一个例子说明。