We shall present new oscillation and asymptotic behavior criteria of higher order nonlinear difference equations of the form

$$\begin{aligned} \Delta \left( ({a(t)}\left( {\Delta ^{n-1}{x(t)}} \right) ^{\alpha } \right) +{q(t)x}^{\beta }({t}-{m}+1)=0, \end{aligned}$$

with nonnegative real coefficients.

中文翻译：

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高阶非线性差分方程的振荡和渐近行为

我们将提出以下形式的高阶非线性差分方程的新振荡和渐近行为准则

$$\begin{aligned} \Delta \left( ({a(t)}\left( {\Delta ^{n-1}{x(t)}} \right) ^{\alpha } \right) + {q(t)x}^{\beta }({t}-{m}+1)=0, \end{aligned}$$

具有非负实系数。