Oscillation of second-order nonlinear delay dynamic equations on time scales

In this paper, first, we establish the equivalence of the oscillation of the nonlinear dynamic equations xΔΔ(t)+p(t)f(x(t−τ))=0andxΔΔ(t)+p(t)(foxσ)=0, on time scales, from which we obtain some oscillation criteria and comparison theorems for the first equation. Next, we obtain some new oscillation criteria for second-order linear dynamic equations on time scales.