NEW OSCILLATION CONDITIONS FOR FIRST-ORDER LINEAR RETARDED DIFFERENCE EQUATIONS WITH NON-MONOTONE ARGUMENTS

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

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

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In this paper, we study the oscillatory behavior Bullet Tumbler of the solutions of a first-order difference 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 improvement on Chromium 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.

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