Oscillation properties of nonlinear neutral differential equations of nth order

We consider the nonlinear neutral functional differential equation [r (t)[x(t) + b a p(t, µ)x(τ(t, µ))dµ] (n−1) ] + δ d c q(t, ξ)f (x(σ (t, ξ)))dξ = 0 with continuous arguments. We will develop oscillatory and asymptotic properties of the solutions. have studied the oscillation theory of second-order and higher-order neutral functional differential equations, in which the highest-order derivative of the unknown function is evaluated both at the present state and at one or more past or future states. For some related results, refer to [1, 8, 10, 11]. In this paper, we extend these results to nth-order nonlinear neutral equations with continuous arguments