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Attia, Emad R.; El-Matary, Bassant M.; Chatzarakis, George E.

New oscillation conditions for first-order linear retarded difference equations with non-monotone arguments. (English) Zbl 1504.39015

Opusc. Math. 42, No. 6, 769-791 (2022).
Summary: 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.

MSC:

39A21 Oscillation theory for difference equations

Keywords:

oscillation; difference equations; non-monotone argument

Software:

Maple
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Full Text: DOI

References:

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