Oscillations in Difference Equations with Several Arguments Using an Iterative Method

Abstract

This paper presents new su¢ cient conditions, involving limsup, for the oscillation of all solutions of di§erence equations with non-monotone deviating arguments and nonnegative coe¢ cients. We establish these criteria by applying an iterative method. We consider di§erence equations of both the retarded and the advanced type. We illustrate the results and the improve- ment over other known oscillation criteria by examples, numerically solved in MATLAB.