Abstract
This paper is concerned with the oscillation of the second-order nonlinear functional dynamic equations
(r(t)[x(t) +/- p(t)x(eta(t)))(Delta)](gamma))(Delta) + f(t, x(g(t))) = 0,
on a time scale T where g is the quotient of odd positive integers, r( t), p( t), and eta, g : T -> T are positive rd-continuous functions on T, eta(t) <= t, lim(t ->infinity)eta(t) = infinity and lim(t ->infinity)g(t) = infinity. We establish some new sufficient conditions for oscillation for the above equation. Several examples illustrating our results will be given.