@Article{Attia2022,
author = "Attia, Emad R. and El-Matary, Bassant M. and Chatzarakis, George E.",
title = "New oscillation conditions for first-order linear retarded difference equations with non-monotone arguments",
journal = "Opuscula Math.",
year = "2022",
volume = "42",
number = "6",
pages = "769--791",
doi = "https://doi.org/10.7494/OpMath.2022.42.6.769",
url = "https://doi.org/10.7494/OpMath.2022.42.6.769",
abstract = "In this paper, we study the oscillatory behavior 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 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.",
keywords = "oscillation, difference equations, non-monotone argument",
issn = "1232-9274"
}