Abstract This work presents a study of the oscillatory behavior of solutions to a general class of neutral differential equations of second order. Our study considers the noncanonical case and constructs oscillation criteria using several approaches, including Riccati and comparison methods. We also improve the oscillation criteria for this class of equations by improving some of the relations used in the study. The new results prove their effectiveness and novelty in testing oscillation through application to a special case of the equation under consideration. It can be said that our results complement and extend previous related results.
Albalawi et al. (Thu,) studied this question.