Abstract
In this paper, new sufficient conditions are established for the oscillation of solutions of the higher order dynamic equations
[r(t)(z(Delta n-1)(t))alpha](Delta) + q(t)f(x(delta(t))) = 0, for t is an element of [t(0), infinity)(T),
where z(t) := x(t) + p(t)x(tau(t)), n >= 2 is an even integer and alpha >= 1 is a quotient of odd positive integers. Under less restrictive assumptions for the neutral coefficient, we employ new comparison theorems and Generalized Riccati technique.