Some Notes on the Difference Equation xn+1=α+(xn−1/xnk)
We investigate the behavior of the solutions of the recursive sequence xn+1=α+xn-1/xnk, n=0,1,…, where α∈[0,∞), k∈(0,∞), and the initial conditions x-1,x0 are arbitrary positive numbers. Included are results that considerably improve those in the recently published paper by Hamza and Morsy (2009)....
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/258502 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | We investigate the behavior of the solutions of the recursive sequence xn+1=α+xn-1/xnk, n=0,1,…, where α∈[0,∞), k∈(0,∞), and the initial conditions x-1,x0 are arbitrary positive numbers. Included are results that considerably improve those in the recently published paper by Hamza and Morsy (2009). |
|---|---|
| ISSN: | 1026-0226 1607-887X |