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THE DYNAMICAL BEHAVIOUR OF SOLUTIONS FOR NONLINEAR SYSTEMS OF RATIONAL DIFFERENCE EQUATIONS
Author(s) : E. M. Elsayed and Kholoud N. Alshabi
Pages : [1] - [20]
Received : April 3, 2023; Revised May 8, 2023
Communicated by : Professor Suayip Yuzbasi
Pages : [1] - [20]
Received : April 3, 2023; Revised May 8, 2023
Communicated by : Professor Suayip Yuzbasi
Abstract
In this paper, we investigate the form of the solution of the following system of difference equations of second order:
where the parameters 
and initial conditions 
are arbitrary positive real numbers.
Keywords
periodic solution, boundedness, systems of difference equations, Lyapunov function, stability.