Note on a difference equation and some of its relatives

Result type
journal article in Web of Science database
Description

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.

Keywords
Nonlinear difference equation
periodic solution
positive solution