NEW OSCILLATION CRITERIA FOR ODD ORDER NEUTRAL EQUATIONS

In this paper, new oscillation criteria are obtained for all solutions of the odd order neutral differential equation [x(t) - P(t)x(t - tau) ]((n)) + Q(t)x(t - sigma) = 0, where P is an element of C([t(0),infini ty), R) Q is an element of C([t(0), infinity), R(+)), tau is an elemen t of (0, infinity), sigma is an element of [0, infinity), and n is odd . Our results do not need the usual hypothesis integral(t0)(infinity)s (n-1) (s) ds = infinity. Some examples are given to demonstrate the ad vantage of our results than existing ones in the literature. (C) 1996 Academic Press, Inc.