Note on a difference equation and some of its relatives

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...

Full description

Saved in:

Bibliographic Details
Published in:	Mathematical methods in the applied sciences Vol. 44; no. 13; pp. 10053 - 10061
Main Authors:	Stević, Stevo, Ahmed, Ahmed El‐Sayed, Kosmala, Witold, Šmarda, Zdeněk
Format:	Journal Article
Language:	English
Published:	Freiburg Wiley Subscription Services, Inc 15-09-2021
Subjects:	Difference equations nonlinear difference equation second‐order difference equation two‐periodic solution
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	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.
ISSN:	0170-4214 1099-1476
DOI:	10.1002/mma.7389