×

zbMATH — the first resource for mathematics

Global attractivity in a rational recursive sequence. (English) Zbl 1019.39007
For the recursive sequence \(x_{n+1}= (\alpha-\beta x_n)/(\gamma+ x_{n-k})\) with non-negative \(\alpha,\beta, \gamma\) and natural \(k\) it is shown that, under certain assumptions, the non-negative equilibrium is an attractor.

MSC:
39A11 Stability of difference equations (MSC2000)
39B05 General theory of functional equations and inequalities
PDF BibTeX XML Cite