A Linearized Oscillation Result for Odd-Order Neutral Delay Differential Equations

Consider the odd-order nonlinear neutral equation dndtn(x(t) − P(t)g(x(t − τ))) + Q(t)h(x(t − σ)) = 0. We establish a linearized oscillation result of this equation when P(t) ≥ 1, which answers partially an open problem proposed by Gyori and Ladas.