Oscillation of second-order neutral delay dynamic equations of Emden-Fowler type

In this paper, we will establish some new oscillation criteria for the second-order superlinear neutral delay dynamic equation of Emden-Fowler type [a(t)(y(t) + r(t)y(tau(t)))(Delta)](Delta) + p(t)vertical bar y(delta(t))vertical bar(gamma) signy(delta(t)) = 0, on a time scale T; here gamma > 1, a(t), r(t), tau(t), p(t) and delta(t)real-valued positive functions defined on T. Our results in the special case when T = R, improve the oscillation results for superlinear neutral delay differential equations and are essentially new on the other different types of time scales. We illustrate the main results by some examples. To the best of our knowledge nothing is known regarding the qualitative behavior of these equations on time scales, so this paper initiates the study of these equations.