OSCILLATION OF NONLINEAR HIGHER-ORDER NEUTRAL DELAY DIFFERENCE EQUATION

Yu-Ping Zhao (P. R. China) and Xi-Lan Liu (P. R. China)

Received July 1, 2007

Abstract

In this paper we consider the neutral delay difference equation where is nondecreasing in u, and k and l are positive integers. We establish some sufficient conditions for the oscillations of all solutions of this equation, and obtain the result for monotone solutions.

Keywords and phrases: oscillation, difference equation, neutral.