Liu, Zhigang Global attractivity in a class of difference equations. (Chinese. English summary) Zbl 0982.39009 J. Hunan Univ., Nat. Sci. 27, No. 2, 17-21 (2000). The author considers the difference equation \[ x_{n+1}= \frac{\alpha x_n}{(1+ \beta x_{n-k})^\lambda}, \quad n= 0,1,2,\dots, \] where \(\alpha\in (1,\infty)\), \(\beta,\lambda\in (0,\infty)\), and \(k\in \{1,2,3,\dots\}\). Several sufficient conditions are obtained which guarantee that the positive equilibrium is a global attractor. Reviewer: Quingkai Kong (DeKalb) MSC: 39B05 General theory of functional equations and inequalities Keywords:global attractivity; multiplicative difference equation; positive equilibrium PDFBibTeX XMLCite \textit{Z. Liu}, J. Hunan Univ., Nat. Sci. 27, No. 2, 17--21 (2000; Zbl 0982.39009)