Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
MR ZblKeywords: difference equation; recursive sequence; solutions; equilibrium point
Cinar, Cengiz; Karatas, Ramazan; Yalçınkaya, Ibrahim. On solutions of the difference equation $x_{n+1}=x_{n-3}/(-1+x_{n}x_{n-1}x_{n-2}x_{n-3})$. Mathematica Bohemica, Tome 132 (2007) no. 3, pp. 257-261. doi: 10.21136/MB.2007.134123
@article{10_21136_MB_2007_134123,
author = {Cinar, Cengiz and Karatas, Ramazan and Yal\c{c}{\i}nkaya, Ibrahim},
title = {On solutions of the difference equation $x_{n+1}=x_{n-3}/(-1+x_{n}x_{n-1}x_{n-2}x_{n-3})$},
journal = {Mathematica Bohemica},
pages = {257--261},
year = {2007},
volume = {132},
number = {3},
doi = {10.21136/MB.2007.134123},
mrnumber = {2355658},
zbl = {1174.39303},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2007.134123/}
}
TY - JOUR
AU - Cinar, Cengiz
AU - Karatas, Ramazan
AU - Yalçınkaya, Ibrahim
TI - On solutions of the difference equation $x_{n+1}=x_{n-3}/(-1+x_{n}x_{n-1}x_{n-2}x_{n-3})$
JO - Mathematica Bohemica
PY - 2007
SP - 257
EP - 261
VL - 132
IS - 3
UR - http://geodesic.mathdoc.fr/articles/10.21136/MB.2007.134123/
DO - 10.21136/MB.2007.134123
LA - en
ID - 10_21136_MB_2007_134123
ER -
%0 Journal Article
%A Cinar, Cengiz
%A Karatas, Ramazan
%A Yalçınkaya, Ibrahim
%T On solutions of the difference equation $x_{n+1}=x_{n-3}/(-1+x_{n}x_{n-1}x_{n-2}x_{n-3})$
%J Mathematica Bohemica
%D 2007
%P 257-261
%V 132
%N 3
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2007.134123/
%R 10.21136/MB.2007.134123
%G en
%F 10_21136_MB_2007_134123
[1] Aloqeili M.: Dynamics of a kth order rational difference equation. Appl. Math. Comput. (In press.).
[2] Camouzis E., Ladas G., Rodrigues I. W., Northshield S.: The rational recursive sequence $x_{n+1}={bx_{n}^{2}}/{1+x_{n-1}^{2}}$. Comput. Math. Appl. 28 (1994), 37–43. | MR
[3] Cinar C.: On the positive solutions of the difference equation $ x_{n+1}={x_{n-1}}/(1+x_{n}\times x_{n-1})$. Appl. Math. Comput. 150 (2004), 21–24. | MR
[4] Cinar C.: On the positive solutions of the difference equation $ x_{n+1}=ax_{n-1}/(1+bx_{n}\times x_{n-1})$. Appl. Math. Comput. 156 (2004), 587–590. | MR
[5] Cinar C.: On the difference equation $ x_{n+1}=x_{n-1}/(-1+x_{n}x_{n-1})$. Appl. Math. Comput. 158 (2004), 813–816. | MR
[6] Stevic S.: More on a rational recurence relation $ x_{n+1}={x_{n-1}}/(1+x_{n-1}x_{n})$. Appl. Math. E-Notes 4 (2004), 80–84. | MR
[7] Stevic S.: On the recursive sequence $x_{n+1}={x_{n-1}}/{ g(x_{n})}$. Taiwanese J. Math. 6 (2002), 405–414. | DOI | MR | Zbl
[8] Stevic S.: On the recursive sequence $x_{n+1}=\alpha +{x_{n-1}^{p}}/{x_{n}^{p}}$. J. Appl. Math. Comput. 18 (2005), 229–234. | DOI | MR
[9] Yang X., Su W., Chen B., Megson G., Evans D.: On the recursive sequences $x_{n+1}={ax_{n-1}+bx_{n-2}}/({c+dx_{n-1}x_{n-2}})$. Appl. Math. Comput. 162 (2005), 1485–1497. | MR
Cité par Sources :