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Note on a difference equation and some of its relatives
Author(s) -
Stević Stevo,
Ahmed Ahmed ElSayed,
Kosmala Witold,
Šmarda Zdeněk
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7389
Subject(s) - mathematics , nonlinear system , convergence (economics) , order (exchange) , partial differential equation , mathematical analysis , physics , finance , quantum mechanics , economics , economic growth
We prove an interesting result on convergence of positive solutions to a nonlinear second‐order difference equation of interest to some two‐periodic solutions to the equation, improving a previous result, and leave an open problem. We also present a method for a unified treatment of closely related nonlinear difference equations, which appear from time to time in the literature.