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Mathematics
Article . 2026 . Peer-reviewed
License: CC BY
Data sources: Crossref
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Oscillation Results for Difference Equations with Several Non-Monotone Advanced Arguments

Authors: Md Taufiq Nasseef; George Chatzarakis; Emad Attia;

Oscillation Results for Difference Equations with Several Non-Monotone Advanced Arguments

Abstract

We investigate the oscillatory behavior of a first-order linear difference equation with several advanced arguments. New sufficient conditions for oscillation are established, and we show, through carefully constructed counterexamples, that many well-known oscillation criteria for equations with a single advanced argument fail to generalize to the several-argument setting, even when each advanced argument is increasing. Several illustrative examples are also provided to demonstrate the sharpness and practical effectiveness of the obtained conditions and to highlight their clear improvements over all existing results in the literature.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Top 10%
Average
Average
gold