New oscillation results for non-canonical higher order nonlinear neutral dynamic equations

We shall present new oscillation criteria for non-canonical higher order nonlinear neutral dynamic equations of the form $$\begin{aligned} \left( (a(t)\left( y^{\varDelta ^{n-1}}(t)\right) ^{\alpha }\right) ^{\varDelta }+q(t)x^{\beta }(\tau (t))=0, \end{aligned}$$ where $$y(t)=x(t)+p(t)x^{\gamma }(\delta (t)).$$ We also present some oscillation results for certain second order dynamic equations with sublinear as well as super linear neutral terms.