The author studies the neutral functional differential equation:
where , , 1-c, ( is a nondecreasing bounded variational function on . The main results are: 1) some sufficient conditions for all solutions to be oscillatory when n is odd are otained. 2) Some sufficient conditions for all bounded solutions to be oscillating when n is even are obtained. Let , be a sequence in and ( have positive damp on , consider the equation
The main results are: 1) sufficient conditions for the existence of bounded nonoscillatory solutions for all n are obtained. 2) A sufficient condition for all solutions to be oscillatory for all n is obtained.