Oscillation results of higher order nonlinear neutral delay difference equations with a nonlinear neutral term

Abstract

In this work, we shall consider higher order nonlinear neutral delay dierence equation of the type m [x n +pnx n k] +qnx n l = 0 ;n = 0; 1; 2;::: wherefpng is a sequence of real numbers,fqng is a sequence of nonnegative real numbers, k and l are positive integers and ; 2 (0;1) are quotient of odd positive integers: We obtain sucient conditions for the oscillations of all solutions of this equation. 2000 AMS Classification: 39A10.