Noncanonical neutral ddes of second-order: New sufficient conditions for oscillation

Abstract

In this paper, new oscillation conditions for the 2nd-order noncanonical neutral differential equation (a0 (t)((u(t) + a1 (t)u(g0 (t)))′)β)′ + a2 (t)uβ (g1 (t)) = 0, where t ≥ t0, 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.