Oscillation Criteria of Higher-order Neutral Differential Equations with Several Deviating Arguments

Abstract

This work is concerned with the oscillatory behavior of solutions of even-order neutral differential equations. By using the technique of Riccati transformation and comparison principles with the second-order differential equations, we obtain a new Philos-type criterion. Our results extend and improve some known results in the literature. An example is given to illustrate our main results.

Keywords

• even-order differential equations
• neutral delay
• oscillation