Abstract :
In this paper, new oscillation criteria are obtained for all solutions of the odd
order neutral differential equation wx t.yP t.x tyt.x n.qQ t.x tys .s0,
where PgC wt0,`.,R., QgC wt0,`.,Rq., tg 0, `., s gw0, `., and n is odd.
Our results do not need the usual hypothesis Ht`0sny1Q s.dss`. Some examples
are given to demonstrate the advantage of our results than existing ones in the
literature.