In this paper, we consider the following forced higher-order nonlinear neutral dynamic equation 12 0 ,, m k xt p t x t f t x t x t x t q t t t ,, , , on time scales. By using Banach contraction principle, we obtain sufficient conditions for the existence of nonoscillatory solutions for general pt and which means that we allow oscillatory qt pt and . We give some ex amples to illustrate the obtained results. qt