On the rational difference equation yn+1=A+(yn/yn-k)

@article{Saleh2006OnTR,
  title={On the rational difference equation yn+1=A+(yn/yn-k)},
  author={M. Saleh and M. Aloqeili},
  journal={Appl. Math. Comput.},
  year={2006},
  volume={177},
  pages={189-193}
}
We find conditions for the global asymptotic stability of the unique negative equilibrium y 1⁄4 1þ A of the equation 0096-3 doi:10. * Co E-m ynþ1 1⁄4 Aþ yn yn k ; ð1Þ where y k,y k+1, . . . ,y0, A 2 R, and k 2 {1,2,3,4, . . .}. 2005 Elsevier Inc. All rights reserved. 

References

SHOWING 1-8 OF 8 REFERENCES
Global stability of yn+1 = A + yN/yN-k
On the recursive sequence xn+1=
On asymptotic behaviour of the difference equation xnþ1 1⁄4 aþ xn k xn
  • Appl. Math. Comp
  • 2004
On the recursive sequence global behavior of ynþ1 1⁄4 pþyn k qynþyn k
  • Nonlinear analysis
  • 2001