New oscillation conditions for first-order linear retarded difference equations with non-monotone arguments

In this paper, we study the oscillatory behavior of the solutions of a first-order difference Aluminium Ties equation with non-monotone retarded argument and nonnegative coefficients, based on an iterative procedure.We establish some oscillation criteria, involving (lim sup), which achieve a marked Blackcherry Concentrate improvement on several known conditions in the literature.Two examples, numerically solved in MAPLE software, are also given to illustrate the applicability and strength of the obtained conditions.