A solvable three dimensional system of di erence equations of second order with arbitrary powers | [Journal of Prime Research in Mathematics • 2023]

Author(s):

1. M. C. Benkara Mostefa: Department of Mathematics, Faculty of Exact Sciences, University of Mentouri Constantine 1,Constantine,Algeria

2. A. Cete: Nevsehir Haci Bektas Veli University, Faculty of Science and Art, Department of Mathematics,Nevsehir,Turkey

3. N. Touafek: LMAM Laboratory, Faculty of Exact Sciences and Informatics, University of Jijel,18000 Jijel,Algeria

4. Y. Yazlik: Nevsehir Haci Bektas Veli University, Faculty of Science and Art, Department of Mathematics,Nevsehir,Turkey

Abstract:

The solvability in a closed form of the following three-dimensional system of di erence equations of second order with arbitrary powers xn+1 =yny qn-1/ xpn(a + byny qn-1) ; yn+1 = znzrn-1 y qn/ (c + dznzrn-1) ; zn+1 = xnxp n-1 zr/ n(h + kxnxpn-1); n; p; q; r 2 N0 where the initial values x-i , y-i , zi , i = 0; 1 are non-zero real numbers and the parameters a, b, c, d, h, are real numbers, will be the subject of the present work. We will also provide the behavior of the solutions of some particular cases of our system.

Page(s): 37-59

DOI: DOI not available

Published: Journal: Journal of Prime Research in Mathematics, Volume: 19, Issue: 2, Year: 2023

Keywords:

2010 MSC , 39A10 , Periodic solutions , 40A05 , 39A23 , limiting behavior of the solutions , form of the solutions , Systems of di erence equations

References:

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