By employing the generalized Riccati transformation technique, we will establish some new oscillation criteria and study the asymptotic behavior of the nonoscillatory solutions of the second-order nonlinear neutral delay dynamic equation \documentclass[12pt]{minimal}
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[r(t)[y(t) + p(t)y(\tau (t))]^\Delta ]^\Delta + q(t)f(y(\delta (t))) = 0
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$$\end{document}. The results improve some oscillation results for neutral delay dynamic equations and in the special case when \documentclass[12pt]{minimal}
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$$\end{document}: n ∈ ℕ0} our results are essentially new. Some examples illustrating our main results are given.
