Yildirim, A.Tollu, D. T.2024-02-232024-02-2320221735-8299https://doi.org/10.30495/JME.2022.1619https://hdl.handle.net/20.500.12452/15619In this paper, we present a detailed study of the following difference equation x(n+1) = alpha(n)/1 + x(n)x(n-1), n is an element of N-0, where the sequence (alpha(n))(n)(>= 0)( )is positive, real, periodic with period two and the initial values x(-1), x(0) are nonnegative real numbers. By this study, we determine global behavior of positive solutions of the above mentioned equation. We also give closed forms of its general solution.eninfo:eu-repo/semantics/closedAccessClosed Form SolutionDifference EquationsGlobal BehaviorPeriodic SolutionPeriodic CoefficientsArticle164WOS:00079718170000510.30495/JME.2022.1619