New oscillation criteria of nonlinear second order delay dynamic equations with sublinear neutral term (Q6630763)

New oscillation criteria was obtained for the following half-linear second-order dynamic equation with sublinear neutral term \N\[ \left(\left(x(t)((u^{\Delta}(t))\right)^{\alpha}\right)^{\Delta} +y(t)v^{\beta}(\xi(t))=0,~t\in T_0=[t_0,\infty)_T, \] \Nwhere \([t_0,\infty)_T=[t_0,\infty)\cup T\), \(u(t)=v(t)+p(t)v^{\nu}(\delta(t))\), by a comparison with a second order linear dynamic inequality.\N\NSome illustrated examples were presented.