TY  - JOUR
T1  - AN INVESTIGATION OF THE SOLUTIONS AND THE DYNAMIC BEHAVIOR OF SOME RATIONAL DIFFERENCE EQUATIONS
AU  - Bukhary, Nisreen
PY  - 2023
DA  - January
Y2  - 2023
DO  - 10.33773/jum.1136294
JF  - Journal of Universal Mathematics
JO  - JUM
PB  - Gökhan ÇUVALCIOĞLU
WT  - DergiPark
SN  - 2618-5660
SP  - 55
EP  - 80
VL  - 6
IS  - 1
LA  - en
AB  - The main purpose of this work is to investigate the solutions, the periodic character and study the global asymptotic behavior of this so- lutions of the following rational di↵erence equationx_(n+1) = x_(n-2)*x_(n-6) / x_(n-3)*(±1 ± x_(n-2)*x_(n-6))with a non-zero real numbers initial conditions.
KW  - Di↵erence Equation
KW  - Recursive sequences
KW  - Stability
KW  - Periodi
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CR  - [2] F. Bozkurt, Stability analysis of nonlinear difference equation, International Journal of Modern Nonlinear Theory and Application, 2 (1) (2013), 1-6.
CR  - [3] D. S. Dilip and S. M. Mathew, Dynamic of a second order nonlinear difference system with exponents, Journal of the Egyptian Mathematical Society, 29 (1) (2021), 1-10.
CR  - [4] R. Karatas, C. Cinar and D. Simsek, On the positive solutions of the Difference equation xn+1 = xn
CR  - [5] E. M. Elsayed and M. M. El-dessoky, Dynamics and global behavior for a fourth order rational difference equation, Hacettepe Journal of Mathematics and Statistics, 42 (5) (2013), 479-494.
CR  - [6] Q. Din, M. N. Qureshi and A. Q. Khan, Dynamic of Fourth- order system of rational difference equations, 2012 (2012): 215.
UR  - https://doi.org/10.33773/jum.1136294
L1  - https://dergipark.org.tr/en/download/article-file/2509309
ER  -