In this paper, new oscillation conditions for the 2nd-order noncanonical neutral differential equation (a0(t)((u(t) + a1(t)u(g0(t)))0)β)0 + a2(t)u β(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.
Noncanonical Neutral DDEs of Second-Order: New Sufficient Conditions for Oscillation
Cesarano C;
2021-01-01
Abstract
In this paper, new oscillation conditions for the 2nd-order noncanonical neutral differential equation (a0(t)((u(t) + a1(t)u(g0(t)))0)β)0 + a2(t)u β(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.File in questo prodotto:
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