CLASSIFICATION AND EXISTENCE OF NONOSCILLATORY SOLUTIONS OF THE SECOND-ORDER NEUTRAL DELAY DYNAMIC EQUATIONS ON TIME SCALES

摘要

In the present paper, we give a classification of nonoscillatory solutions of the second-order neutral delay dynamic equation on time scales [x(t) -c(t)x(t - τ)]~(ΔΔ) + f(t, x(g_l (0), …, x(g_m (t))) = 0, t ∈ T. Some existence results for each kind of nonoscillatory solutions are also established.