Abstract
In this paper, new oscillation conditions for the 2nd-order noncanonical neutral differential equation (a(0) (t)((u(t) + a(1) (t) u(g(0)(t)))')(beta))' + a(2)(t)u(beta)(g(1)(t)) = 0, where t >= t(0), are established. Using Riccati substitution and comparison with an equation of the first-order, we obtain criteria that ensure the oscillation of the studied equation. Furthermore, we complement and improve the previous results in the literature.