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On the oscillation of even order neutral delay differential equations

Shaoqin Gao, Zimeng Chen and Wenying Shi

In this paper, we study the oscillatory behavior of the following even order neutral delay differential equation (r(t)((x(t) + p(t)x(τ (t)))(n−1)) α ) ′ + q(t)x α (τ (t)) = 0, t ≥ t0. We give some sufficient conditions for oscillation of this equation using Riccati transformation technique . The results obtained extend some of the known results. An example is given to illustrate the main results.