In this paper, we study the oscillation of a class of third-order Emden–Fowler delay dynamic equations with sublinear neutral terms on time scales. By using Riccati transformation and integral inequality, we establish several new theorems to ensure that each solution of the equation oscillates or asymptotically approaches zero, and the results in the literature are supplemented and extended. Examples are given to illustrate our main results.

中文翻译：

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时标上具有亚线性中性项的一类三阶Emden-Fowler时滞动力方程的振动准则

在本文中，我们研究了在时标上具有亚线性中性项的一类三阶Emden-Fowler时滞动力学方程的振动性。通过使用Riccati变换和积分不等式，我们建立了几个新的定理，以确保方程的每个解都振动或渐近地接近零，并且对文献中的结果进行了补充和扩展。举例说明了我们的主要结果。