Some Problems For The Oscillations Of Higher Order Delay Difference Equations

In this paper, we discuss the oscillation for a class of diference equation ofeven order with retarded argument and the odd-order nonlinear neutral delaydiference equation.This paper includes two parts, In Chapter2, necessary and sufcient arefound for oscillation of the solutions of a class of strongly superlinear and stronglysublinear diference equations of even order with retarder argument by Schauder’sfixed point theorem and proof by contradiction. In Chapter3, we discuss theoscillation for a class of odd-order nonlinear neutral delay diference equation,by using the proof by contradiction, the oscillation of solutions for the odd-ordernonlinear neutral delay diference equation are obtained.