On the Oscillation of Third-Order Neutral Differential Equations with Multiple Delays

The aim of this work is to investigate the oscillatory behavior of a class of third-order neutral differential equations with multiple delays. By employing rigorous analytical techniques, we establish new sufficient conditions that guarantee the oscillation of all solutions of the considered equation. Computational simulations demonstrate the interaction effects caused by multiple delays. Furthermore, numerical experiments distinctly illustrate the pronounced interplay between the delays and uncover notable variations in the oscillation envelope, as well as shifts in the decay rate for specific parameter regimes.