New Comparison Theorems for the Nth Order Neutral Differential Equations with Delay Inequalities.

In this work, we present a new technique for the oscillatory properties of solutions of higher-order differential equations. We set new sufficient criteria for oscillation via comparison with higher-order differential inequalities. Moreover, we use the comparison with first-order differential equations. Finally, we provide an example to illustrate the importance of the results. [ABSTRACT FROM AUTHOR]