OSCILLATION ANALYSIS FOR HIGHER ORDER DIFFERENCE EQUATION WITH NON-MONOTONE ARGUMENTS.

The aim of this paper is to obtain the some new oscillatory condi- tions for all solutions of higher order di¤erence equation with general argument (*) Δmx(n) + p(n)x (τ(n)) = 0; n = 0; 1; ... ; where (p(n)) is a sequence of nonnegative real numbers and (τ(n)) is a sequence of integers and non-monotone. [ABSTRACT FROM AUTHOR]