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Content available New oscillation conditions for first-order linear retarded difference equations with non-monotone arguments
Attia Emad R., El-Matary Bassant M., Chatzarakis George E.
Opuscula Mathematica
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2022
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Vol. 42, no. 6
769--791
EN
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.
2
Content available New aspects for the oscillation of first-order difference equations with deviating arguments
Attia Emad R., El-Matary Bassant M.
Opuscula Mathematica
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2022
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Vol. 42, no. 3
393--413
EN
We study the oscillation of first-order linear difference equations with non-monotone deviating arguments. Iterative oscillation criteria are obtained which essentially improve, extend, and simplify some known conditions. These results will be applied to some numerical examples.
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