Abstract
The structure of the solutions for the system nonlinear difference equations xn+1=ynyn-2/(xn-1+yn-2), yn+1=xnxn-2/(±yn-1±xn-2), n=0,1,., is clarified in which the initial conditions x-2, x-1, x0, y-2, y-1, y0 are considered as arbitrary positive real numbers. To exemplify the theoretical discussion, some numerical examples are presented.
Original language | English |
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Article number | 1743540 |
Journal | Discrete Dynamics in Nature and Society |
Volume | 2018 |
DOIs | |
Publication status | Published - 1 Jan 2018 |
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ASJC Scopus subject areas
- Modelling and Simulation
Cite this
On the Solutions of a System of Third-Order Rational Difference Equations. / Alotaibi, A. M.; Md. Noorani, Mohd. Salmi; El-Moneam, M. A.
In: Discrete Dynamics in Nature and Society, Vol. 2018, 1743540, 01.01.2018.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - On the Solutions of a System of Third-Order Rational Difference Equations
AU - Alotaibi, A. M.
AU - Md. Noorani, Mohd. Salmi
AU - El-Moneam, M. A.
PY - 2018/1/1
Y1 - 2018/1/1
N2 - The structure of the solutions for the system nonlinear difference equations xn+1=ynyn-2/(xn-1+yn-2), yn+1=xnxn-2/(±yn-1±xn-2), n=0,1,., is clarified in which the initial conditions x-2, x-1, x0, y-2, y-1, y0 are considered as arbitrary positive real numbers. To exemplify the theoretical discussion, some numerical examples are presented.
AB - The structure of the solutions for the system nonlinear difference equations xn+1=ynyn-2/(xn-1+yn-2), yn+1=xnxn-2/(±yn-1±xn-2), n=0,1,., is clarified in which the initial conditions x-2, x-1, x0, y-2, y-1, y0 are considered as arbitrary positive real numbers. To exemplify the theoretical discussion, some numerical examples are presented.
UR - http://www.scopus.com/inward/record.url?scp=85048168481&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85048168481&partnerID=8YFLogxK
U2 - 10.1155/2018/1743540
DO - 10.1155/2018/1743540
M3 - Article
AN - SCOPUS:85048168481
VL - 2018
JO - Discrete Dynamics in Nature and Society
JF - Discrete Dynamics in Nature and Society
SN - 1026-0226
M1 - 1743540
ER -