In this paper, we proved the even order nonlinear neutral delay differential equation [x(t) - p(t)g(x(t - τ))](n) = q(t)h(x(t - σ)) has the same oscillatory character as its linearized equation [x(t) -pox(t - τ)](n) = qox(t - σ) under some rather relaxed conditions on g(u) and h(u), where po = li...