Abstract
In this paper, we will consider the higher-order functional dynamic equations of the form
x([n])(t) + p(t)phi(gamma)(x(sigma)(g(t))) =0
on an above-unbounded time scale T, where n >= 2 and phi(beta) (u) := vertical bar u vertical bar(beta-1) u, beta > 0. The function g : T -> T is a rd-continuous function such that lim(t ->infinity) g(t) = infinity. The results extend and improve some known results in the literature on higher order nonlinear dynamic equations. (C) 2014 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim