Oscillation Criteria for Third-Order Nonlinear Delay Difference Equations

Abstract

In this paper, we are concerned with oscillation of a class of third-order nonlinear delay difference equation of the form
     
We establish some new oscillation criteria by transforming this equation to the first- order delayed and advanced dierence equations. Employing suitable comparison theorems we present new results on oscillation of the studied equation. Some examples are provided to illustrate the results.