Existence of Nonoscillatory Solutions of Higher Order Forced Neutral Dynamic Equations with Time Delay on Time Scales

The existence of nonoscillatory solutions of a class of higher order forced neutral dynamic equations with time delay on time scales is discussed. The main tool is the Banach fixed point theorem. Based on the different values of p(t), we give several existence theorems of nonoscillatory solutions of our discussing equations. An example is also presented to illustrate the applications of the obtained results.