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

摘要

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 $$S_n^Delta(t, x)+p(t)f(x(tau(t)))=0.$$ We will establish some oscillation criteria for these dynamic equations. Our results improve some previously obtained ones.