A class of third-order nonlinear neutral differential equation (r(t)(y″(t)) α) + q(t)f(x(σ(t))) = O is investigated in this paper, where y (t) = x(t) +p(t)x(τ)(t)),and α > 0 is any quotient of odd integers. Using a new method, we obtain some sufficient conditions for the oscillation of the above equation, and some known oscillation criteria be extended. An example is inser...
