2020•MathematicsOpen access

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

Osama Moaaz, Ioannis Dassios, Omar Bazighifan

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.

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Key concepts: Order (exchange), Mathematics, Oscillation (cell signaling), Differential equation, Transformation (genetics), Work (physics), Differential (mechanical device), Applied mathematics