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

Abstract

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.

Keywords

• higher-order differential equations
• differential inequalities
• oscillatory properties