Oscillation of fourth-order nonlinear neutral delay dynamic equations

Abstract

In this work we establish some new sufficient conditions for oscillation of fourth-order nonlinear neutral delay dynamic equations of the form $(\alpha(t)([x(t)-p(t)x(h(t))]^{\triangle\triangle\triangle})^{\alpha})^{\triangle}+q(t)x^{\beta}(g(t))=0$ , $t\epsilon[t_{0},\infty)_{T}$ where α and β are quotients of positive odd integers with β ≤ α.