Dynamical behavior of a system of three-dimensional nonlinear difference equations
Inci Okumus, Yueksel Soykan
article (Uluslararası, Hakemli) | Yazar(lar): Inci Okumus, Yueksel Soykan | Yıl: 2018 | Dergi/Kurum: ADVANCES IN DIFFERENCE EQUATIONS | İndeks: WOS.SCI | DOI: 10.1186/s13662-018-1667-y | Anahtar Kelimeler: System of difference equations, Solution, Boundedness, Equilibrium point, Stability, Global asymptotic stability —
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.