Oscillation Criteria for Second-Order Quasilinear Neutral Delay Dynamic Equations on Time Scales

We establish some new oscillation criteria for the second-order quasilinear neutral delay dynamic equations [r(t)(zΔ(t))γ]Δ+q1(t)xα(τ1(t))+q2(t)xβ(τ2(t))=0 on a time scale , where z(t)=x(t)+p(t)x(τ0(t)), 0<α<γ<β. Our results generalize and improve some known results for oscillation of second-order nonlinear delay dynamic equations on time scales. Some examples are considered to illustrate our main results.