Abstract

In this paper, we study the boundedness, persistence, and periodicity of the positive solutions and the global asymptotic stability of the positive equilibrium points of the system of difference equations,x(n+1) = A + x(n-1)/z(n), y(n+1) = A + y(n-1)/z(n), z(n+1) = A + z(n-1)/y(n), n = 0,1,...,,where A is an element of (0,infinity) and the initial conditions x(i), y(i), z(i) is an element of (0,infinity), i = -1, 0.

  • Kapsamı

    Uluslararası

  • Type

    Hakemli

  • Index info

    WOS.SCI

  • Language

    English

  • Article Type

    None

  • Keywords

    System of difference equations Solution Boundedness Equilibrium point Stability Global asymptotic stability