The Form of Solutions and Periodic Nature for Some System of Difference Equations

Abstract

In this paper, we study the form of the solution of the following systems of difference equations of order two

w_{n+1}=\frac{w_{n}s_{n-1}}{w_{n}+s_{n-1}},~~~ s_{n+1}=\frac{s_{n}w_{n-1}}{\pm s_{n}\pm w_{n-1}},

with nonzero real numbers initial conditions.

Keywords

• Periodic solution
• Recursive sequences
• Solutions of difference equations

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