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2 results on '"GHAZEL, MALEK"'

1. INVESTIGATING DYNAMICS OF THE RATIONAL DIFFERENCE EQUATION xn+1 =xn-1/A + Bxnxn-1.

Author

GHAZEL, MALEK, HASSAN, TAHER S., and MOSALLEM, AHMED M.

Subjects
*DIFFERENCE equations, *EQUATIONS, *REAL numbers, *COMPUTER simulation, *DIFFERENCE sets
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. [ABSTRACT FROM AUTHOR]

Published
2019

2. INVESTIGATING DYNAMICS OF THE RATIONAL DIFFERENCE EQUATION xn+1 =xn-1/A + Bxnxn-1.

Author

GHAZEL, MALEK, HASSAN, TAHER S., and MOSALLEM, AHMED M.

Subjects
*COMPUTER simulation, *RECURSIVE sequences (Mathematics), *REAL numbers, *REAL analysis (Mathematics), *PRIME numbers
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. [ABSTRACT FROM AUTHOR]

Published
2019

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