partial difference equation; oscillation; variable coefficient
In this paper, by using an iterative scheme, we advance the main oscillation result of Zhang and Liu (1997). We not only extend this important result but also drop a superfluous condition even in the noniterated case. Moreover, we present some illustrative examples for which the previous results cannot deliver answers for the oscillation of solutions but with our new efficient test, we can give affirmative answers for the oscillatory behaviour of solutions. For a visual explanation of the examples, we also provide 3D graphics, which are plotted by a mathematical programming language.
 Cheng, S. S.: Partial Difference Equations
. Advances in Discrete Mathematics and Applications 3 Taylor and Francis, London (2003). MR 2193620
| Zbl 1016.39001
 Zhang, B. G., Zhou, Y.: Qualitative Analysis of Delay Partial Difference Equations
. Contemporary Mathematics and Its Applications 4 Hindawi Publishing Corporation, New York (2007). MR 2388616
| Zbl 1153.35078