In [Bull. Acad. Polon. Sci. Ser. Sci. Math. 29 (1981), no. 7-8, 367-370], Philos proved the following result: Let f : [t(0), infinity)(R )-> R it be an n-times differentiable function such that f((n))(t)<= 0 (not equivalent to 0) and f(t) > 0 for all t <= t(0). If f is unbounded, then f(t) >= lambda t(n-1)/(n-1)! f((n-1))(t) for all sufficiently large t, where lambda is an element of (0, 1)(R). In this work, we first present time scales unification of this result. Then, by using it, we provide sufficient conditions for oscillation and asymptotic behaviour of solutions to higher-order neutral dynamic equations.