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http://dx.doi.org/10.14317/jami.2022.409

REPRESENTATION OF SOLUTIONS OF A SYSTEM OF FIVE-ORDER NONLINEAR DIFFERENCE EQUATIONS  

BERKAL, M. (Department of Applied Mathematics, University of Alicante)
BEREHAL, K. (Abdelhafid Boussouf University, Department of Mathematics and Computer Science)
REZAIKI, N. (Abdelhafid Boussouf University, Department of Mathematics and Computer Science)
Publication Information
Journal of applied mathematics & informatics / v.40, no.3_4, 2022 , pp. 409-431 More about this Journal
Abstract
In this paper, we deal with the existence of solutions of the following system of nonlinear rational difference equations with order five $x_{n+1}=\frac{y_{n-3}x_{n-4}}{y_n(a+by_{n-3}x_{n-4})}$, $y_{n+1}=\frac{x_{n-3}y_{n-4}}{x_n(c+dx_{n-3}y_{n-4})}$, n = 0, 1, ⋯, where parameters a, b, c and d are not executed at the same time and initial conditions x-4, x-3, x-2, x-1, x0, y-4, y-3, y-2, y-1 and y0 are non zero real numbers.
Keywords
System of difference equations; general solution of system of difference equations; representation of solutions;
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