Noncanonical Neutral DDEs of Second-Order: New Sufficient Conditions for Oscillation.

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 ) ′ ) β) ′ + a 2 t u β 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. [ABSTRACT FROM AUTHOR]