On the Oscillation for Second-Order Half-Linear Neutral Delay Dynamic Equations on Time Scales

Abstract

We discuss oscillation criteria for second-order half-linear neutral delay dynamic equations on time scales by using the generalized Riccati transformation and the inequality technique. Under certain conditions, we establish four new oscillation criteria. Our results in this paper are new even for the cases of $𝕋=ℝ$ and $𝕋=\mathbb{Z}$.