A Linearized oscillation result for higher-order neutral delay differential equations

Abstract

Consider the odd-order nonlinear neutral delay differential equation We prove that, under appropriate hypertheses, Eq.(1)

oscillates if and only if its associated linear equation with constant coefficients of the form

oscillates. Our resultes cancel a traditional hyperthesis which is imposed on h(u) in problem of a kind.

Keywords:

• Neutral delay equation
• linearized oscillation
• nonoscillation