Abstract
This paper aims to improve Hille oscillation criteria for the third-order functional dynamic equation {p(2)(xi)phi(gamma 2) ([p(1)(xi)phi(gamma 1)(y(Delta)(xi))](Delta))}(Delta) + alpha(xi)phi(gamma) (y(g(xi))) = 0, on an above-unbounded time scale T. The obtained results improve related contributions reported in the literature without restrictive conditions on the time scales. To demonstrate the essential results, an example is presented.