Abstract
We present the oscillation criteria for the following neutral dynamic equation on time scales: (y(t)-C(t)y(t-zeta))Delta+P(t)y(t-eta)-Q(t)y(t-delta)=0,t is an element of T,where C,P,Q is an element of Crd([t0,infinity),R+)),{\mathbb{R}}<^>{+})$\end{document}, R+=[0,infinity)gamma>0 eta>delta >= 0\conditions for the existence of nonoscillatory solutions of the given equation are also obtained.