Behavior of solutions of a third-order dynamic equation on time scales

In this paper, we will establish some sufficient conditions which guarantee that every solution of the third-order nonlinear dynamic equation (r(1)(t)(r(2)(t)x(Delta)(t))(Delta))(Delta) + p(t,x(t),x(Delta)(t)) + F(t,x(t)) = 0 oscillates or converges to zero on an arbitrary time scale T.