Behavior of solutions of a second order rational difference equation Page 1 doi: 10.5937/MatMor1901011A
Mathematica Moravica Vol. 23, No. 1 (2019), 11–25 Behavior of solutions of a second order …

In this paper, we solve the difference equation x_ n+ 1= α 1-x_nx_ n-1,\quad n= 0, 1, ..., xn+
1= α 1-xnxn-1, n= 0, 1,…, where α> 0 α> 0 and the initial values x_-1 x-1, x_ 0 x 0 are real …

Full article: Forbidden sets and stability in some rational difference equations Skip to Main
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In this paper, we solve and study the global behavior of the admissible solutions of the
difference equation xn+ 1= xnxn− 2 axn− 1+ bxn− 2, n= 0, 1,..., where a, b> 0 and the initial …

In recent literature there are an increasing number of papers where the forbidden sets (FSs)
of difference equations are computed. We review and complete different attempts to …

In this paper, we solve the difference equation xn+ 1= xnxn− 2− axn+ bxn− 2, n= 0, 1,...,
where a and b are positive real numbers and the initial values x− 2, x− 1 and x0 are real …

In this paper, we solve the difference equation $ x_ {n+ 1}={\frac {x_nx_ {n-2}}{ax_n-bx_ {n-
2}}} $, n= 0, 1,…, where a and b are positive real numbers and the initial values x-2, x-1 and …

In this paper, we solve and study the global behavior of the admissible solutions of the
difference equation x_ n+ 1= x_ n x_ n-2-ax_ n-1+ bx_ n-2,\quad n= 0, 1, ..., xn+ 1= xnxn-2 …

In this paper, global dynamics of a kind of nonlinear difference equation was investigated,
which had only one positive equilibrium. Every positive solution of the equation either …

Global dynamics of a system of nonlinear difference equations was investigated, which had
five kinds of equilibria including isolated points and a continuum of nonhyperbolic equilibria …