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We deal with the form of the solutions for the following systems of rational difference equations xn+1 = (xn-1yn/(±xn-1 ± yn-2)), yn+1 = (xnyn-1/(±yn-1 ± xn-2))> with nonzero real numbers initial conditions. Also we investigate some properties of the obtained solutions and present some numerical examples. [ABSTRACT FROM AUTHOR]

We study some qualitative properties of the solutions of a system of difference equations, which describes an economic model. The study of the local stability of the equilibrium points is carried out. We give some important results of the invariant and the boundedness of the solutions to the considered system. The global convergence of the solutions is presented and investigated. [ABSTRACT FROM AUTHOR]

This paper is devoted to investigate the global behavior of the following rational difference yn+1 = αyn-t/(β + γ Σi=0k yn-(2i+1)p ∏i=0k yn-(2i+1)q), n = 0, 1, 2, ... where α, β, γ, p, q ∈ (0, ∞) and k, t ∈ {0, 1, 2, ...} with the initial conditions x0, x-1, ..., x-2k, x-2 max {k, t}-1 ∈ (0, ∞). We will find and classify the equilibrium points of the equations under studying and then investigate their local and global stability. Also, we will study the oscillation and the permanence of the considered equations. [ABSTRACT FROM AUTHOR]

This paper deals with the investigation of the following more general rational difference equation: yn+1 = αyn/(βi=0k yn-(2i+1)p ∏i=0kyn-(2i+1)), n = 0, 1, 2,..., where α, β, γ, p ∈ (0, ∞) with the initial conditions x0, x-1,...,x-2k, x-2k-1 ∈ (0, ∞). We investigate the existence of the equilibrium points of the considered equation and then study their local and global stability. Also, some results related to the oscillation and the permanence of the considered equation have been presented. [ABSTRACT FROM AUTHOR]