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In this paper, we will investigate the local stability of the equilibrium points, global attractor, boundedness and the form of the solutions for the following equations ... where the coefficients A, B and C are real positive numbers, and the initial conditions x -3, x -2, x -1, x0 are arbitrary non zero real numbers. [ABSTRACT FROM AUTHOR]

The main target of our study to cover the solutions behavior of the following difference equation xn+1 = axn + bxn-1 + c+dxn-2/e+fxn-2, n= 0,2, . . . where the parameters a; b; c; d; e and f are positive real numbers and the initial conditions x-2; x-1 and x0 are positive real numbers. [ABSTRACT FROM AUTHOR]

In this paper, we get the form of the solutions of the following difference equation systems of order four xn+1 = . . ., yn+1 = . . ., n = 0, 1, 2, ... , where the initial conditions x-3, x-2, x-1, x0, y-3, y-2, y-1, y0 are arbitrary non zero real numbers. [ABSTRACT FROM AUTHOR]

In this paper, we study the behavior of the solutions of the following rational difference equation with big order xn+1 = axn-l + bxn-k + cxn-s + dxn-t/exn-s + fxn-t where the parameters a; b; c; d; e and f are positive real numbers and the initial conditions x-r, x-r+1, x-1 and x0 are positive real numbers where r = max(l, k, s, t). [ABSTRACT FROM AUTHOR]

Our aim in this paper is to investigate the behavior of the solution of the following max type difference equation of order three xn+1 = max{An/xn,xn-2} , n = 0, 1,. . ., where the initial conditions x-2, x-1, x0 are arbitrary positive real numbers and {An}n=0∝ is a periodic sequence of period two. [ABSTRACT FROM AUTHOR]

In this paper we study the boundedness, investigate the global convergence and the periodicity of the solutions to the following recursive sequence xn+1 = axn + bxn-1² + cxn-2xn-3/dxn-1² + exn-2xn-3, n = 0, 1, ..., where the parameters a, b, c, d and e are positive real numbers and the initial conditions x-3, x-2, x-1 and x0 ∈ (0, ∞). Also we give some numerical examples of some special cases of considered equation and presented some related graphs and figures using Matlab. [ABSTRACT FROM AUTHOR]

In this paper we deal with the behavior of the local stability, global attractor and boundedness of solutions of the following difference equation xn+1 = axn-1 + bxn-1xn-2/cxn + dxn-2, n = 0, 1, ..., where the initial conditions x-2, x-1, x0 are arbitrary positive real numbers and a, b, c, d are constants. Also, we give a specific form of solution of four special cases of this equation. [ABSTRACT FROM AUTHOR]

In this paper, we study the qualitative behavior of following discrete-time population model: xn+1 = α + βxn + γxn-1e-yn,yn-1 = δ+ εyn + ζyn-1e-xn, where parameters α,β,γ,δ,ε,ζ and initial conditions x0, x-1, y0,y-1 are positive real numbers. More precisely, we investigate the existence and uniqueness of positive equilibrium point,boundedness character, persistence, local asymptotic stability, global behavior and rate of convergence of unique positive equilibrium point of this model. Some numerical examples are given to verify our theoretical results. [ABSTRACT FROM AUTHOR]

In this paper we investigate the global convergence result, boundedness, and periodicity of solutions of the difference equation xn+1 = axn + b + cxn-1/d + exn-1, n = 0, 1, ..., where the parameters a, b, c, d and e are positive real numbers and the initial conditions x-1 and x0 are positive real numbers. [ABSTRACT FROM AUTHOR]