| Title:
|
Global behavior of the difference equation $x_{n+1}=\frac{ax_{n-3} }{b+ cx_{n-1}x_{n-3}}$ (English) |
| Author:
|
Abo-Zeid, Raafat |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
51 |
| Issue:
|
2 |
| Year:
|
2015 |
| Pages:
|
77-85 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we introduce an explicit formula and discuss the global behavior of solutions of the difference equation \[ x_{n+1}=\frac{ax_{n-3} }{b+ cx_{n-1}x_{n-3}}\,,\qquad n=0,1,\dots \] where $a,b,c$ are positive real numbers and the initial conditions $x_{-3}$, $x_{-2}$, $x_{-1}$, $x_0$ are real numbers. (English) |
| Keyword:
|
difference equation |
| Keyword:
|
periodic solution |
| Keyword:
|
convergence |
| MSC:
|
39A20 |
| MSC:
|
39A21 |
| MSC:
|
39A23 |
| MSC:
|
39A30 |
| idZBL:
|
Zbl 06487022 |
| idMR:
|
MR3367094 |
| DOI:
|
10.5817/AM2015-2-77 |
| . |
| Date available:
|
2015-06-24T13:39:00Z |
| Last updated:
|
2016-04-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144308 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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