Oscillation of Solutions for Higher-order Nonlinear Delay Dynamic Equations on Time Scales

Abstract

In this paper, we will discuss the oscillation of solutions of higher-order nonlinear delay dynamic equations on time scales, which have the following form S_n^Δ (t, x) + p(t)f(x(τ(t))) = 0. We will establish some oscillation criteria for these dynamic equations. Our results improve some previously obtained ones.