On the Behavior of a System of Rational Difference Equations xn+1=xn-1/(ynxn-1-1),yn+1 = yn-1/(xnyn-1-1),zn+1=1/xnzn-1
We are concerned with a three-dimensional system of rational difference equations with nonzero initial values. We present solutions of the system in an explicit way and obtain the asymptotical behavior of solutions.
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/10.1155/2012/105496 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832550697506177024 |
|---|---|
| author | Liu Keying Wei Zhiqiang Li Peng Zhong Weizhou |
| author_facet | Liu Keying Wei Zhiqiang Li Peng Zhong Weizhou |
| author_sort | Liu Keying |
| collection | DOAJ |
| description | We are concerned with a three-dimensional system of rational difference equations with nonzero initial values. We present solutions of the system in an explicit way and obtain the asymptotical behavior of solutions. |
| format | Article |
| id | doaj-art-5ddf52aaaf284e418b38fc108259f604 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-5ddf52aaaf284e418b38fc108259f6042025-02-03T06:06:00ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/105496105496On the Behavior of a System of Rational Difference Equations xn+1=xn-1/(ynxn-1-1),yn+1 = yn-1/(xnyn-1-1),zn+1=1/xnzn-1Liu Keying0Wei Zhiqiang1Li Peng2Zhong Weizhou3School of Mathematics, North China University of Water Resources and Electric Power, Zhengzhou 450045, ChinaSchool of Mathematics, North China University of Water Resources and Electric Power, Zhengzhou 450045, ChinaSchool of Mathematics, North China University of Water Resources and Electric Power, Zhengzhou 450045, ChinaSchool of Economics and Finance, Xi'an Jiaotong University, Xi'an 710061, ChinaWe are concerned with a three-dimensional system of rational difference equations with nonzero initial values. We present solutions of the system in an explicit way and obtain the asymptotical behavior of solutions.http://dx.doi.org/10.1155/2012/105496 |
| spellingShingle | Liu Keying Wei Zhiqiang Li Peng Zhong Weizhou On the Behavior of a System of Rational Difference Equations xn+1=xn-1/(ynxn-1-1),yn+1 = yn-1/(xnyn-1-1),zn+1=1/xnzn-1 Discrete Dynamics in Nature and Society |
| title | On the Behavior of a System of Rational Difference Equations xn+1=xn-1/(ynxn-1-1),yn+1 = yn-1/(xnyn-1-1),zn+1=1/xnzn-1 |
| title_full | On the Behavior of a System of Rational Difference Equations xn+1=xn-1/(ynxn-1-1),yn+1 = yn-1/(xnyn-1-1),zn+1=1/xnzn-1 |
| title_fullStr | On the Behavior of a System of Rational Difference Equations xn+1=xn-1/(ynxn-1-1),yn+1 = yn-1/(xnyn-1-1),zn+1=1/xnzn-1 |
| title_full_unstemmed | On the Behavior of a System of Rational Difference Equations xn+1=xn-1/(ynxn-1-1),yn+1 = yn-1/(xnyn-1-1),zn+1=1/xnzn-1 |
| title_short | On the Behavior of a System of Rational Difference Equations xn+1=xn-1/(ynxn-1-1),yn+1 = yn-1/(xnyn-1-1),zn+1=1/xnzn-1 |
| title_sort | on the behavior of a system of rational difference equations xn 1 xn 1 ynxn 1 1 yn 1 yn 1 xnyn 1 1 zn 1 1 xnzn 1 |
| url | http://dx.doi.org/10.1155/2012/105496 |
| work_keys_str_mv | AT liukeying onthebehaviorofasystemofrationaldifferenceequationsxn1xn1ynxn11yn1yn1xnyn11zn11xnzn1 AT weizhiqiang onthebehaviorofasystemofrationaldifferenceequationsxn1xn1ynxn11yn1yn1xnyn11zn11xnzn1 AT lipeng onthebehaviorofasystemofrationaldifferenceequationsxn1xn1ynxn11yn1yn1xnyn11zn11xnzn1 AT zhongweizhou onthebehaviorofasystemofrationaldifferenceequationsxn1xn1ynxn11yn1yn1xnyn11zn11xnzn1 |