Open AccessOscillation result for half-linear delay difference equations of second-order
Author(s) -
C. Jayakumar,
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Shyam Sundar Santra,
Dumitru Băleanu,
Reem Edwan,
Vediyappan Govindan,
A. Murugesan,
Mohamed Altanji,
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Publication year - 2022
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2022178
Subject(s) - oscillation (cell signaling) , mathematics , order (exchange) , simple (philosophy) , linear equation , mathematical analysis , control theory (sociology) , computer science , philosophy , genetics , control (management) , finance , epistemology , artificial intelligence , economics , biology
In this paper, we obtain the new single-condition criteria for the oscillation of second-order half-linear delay difference equation. Even in the linear case, the sharp result is new and, to our knowledge, improves all previous results. Furthermore, our method has the advantage of being simple to prove, as it relies just on sequentially improved monotonicities of a positive solution. Examples are provided to illustrate our results.