Asymptotic and oscillatory behavior of solutions of nonlinear neutral delay equations of arbitrary order

摘要

The authors obtain results on the oscillatory and asymptotic behavior of solutions of the nonlinear neutral delay differential equation [y(t)+P(t)y(g(t))](n)+δF(t, y(h(t))) = 0, where n ≥ 1, δ = ±1, and uF(t, u) ≥ 0 for u ≠ 0. Several known results of this type are included as special cases. Examples illustrating their results are included.