Nonoscillation for higher-order nonlinear delay dynamic equations on time scales.

In this paper, we investigate the nonoscillation of the higher-order nonlinear delay dynamic equation where $\mathbb{T}$ is a scale with $\sup\mathbb{T}=\infty$, $t_{0}\in\mathbb{T}$, and $[t_{0},\infty)_{\mathbb{T}}= \{t\in\mathbb{T}:t\geq t_{0}\}$. We obtain some sufficient conditions for all solutions of this equation to be nonoscillatory. [ABSTRACT FROM AUTHOR]