Oscillation for neutral differential equations of canonical form of even-order

In this article, I aimed to investigate the oscillatory properties of a novel class of neutral differential equations in their canonical form. I established new relationships between the solutions of the studied equation and their higher-order derivatives to reinforce the monotonic properties of these solutions. Using an iterative process, I present novel and sophisticated oscillatory criteria that broaden the breadth of previous findings in the literature. Several examples are provided to support and elucidate our findings, thereby emphasizing the applicability and significance of the proposed criteria.