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- Title
INVESTIGATING DYNAMICS OF THE RATIONAL DIFFERENCE EQUATION x<sub>n+1</sub> =x<sub>n-1</sub>/A + Bx<sub>n</sub>x<sub>n-1</sub>.
- Authors
GHAZEL, MALEK; HASSAN, TAHER S.; MOSALLEM, AHMED M.
- Abstract
This paper is devoted to investigate the dynamics of the rational difference equation xn+1 =xn-1/A + Bxnxn-1 with arbitrary initial conditions A and B as nonzero real numbers. The solution is obtained and analytical study and asymptotic behavior are investigated. The forbidden set is determined. The existence of periodic and oscillatory solutions are discussed. Our results are illustrated with numerical simulations.
- Publication
Journal of Computational Analysis & Applications, 2019, Vol 26, Issue 1, p85
- ISSN
1521-1398
- Publication type
Academic Journal