Cengiz Çinar, Stevo Stevi\'c, Ibrahim Yalçinkaya
A Note on Global Asymptotic Stability of a Family of Rational Equations
The paper is published: Rostocker Mathematisches Kolloquium, Rostock. Math. Kolloq. 59, 41-49(2005)
MSC:
$x_{n+1}=\frac{1+x_n\sum_{i=1}^k x_{n-i}}{x_{n}+x_{n-1}+x_{n}\sum_{i=2}^k x_{n-i}},\quad n=0,1,...,$
where $k\in {\bf N},$ converge to the positive equilibrium $\bar x=1.$ The result generalizes the main theorem in the paper: Li