ABSTRACT. In this paper the dynamics for a third-order rational difference equation is considered. The rule for the trajectory structure of solutions of this equation is clearly described out. The successive lengths of positive and negative semicycles of nontrivial solu-tions of this equation are found to occur periodically with prime period 7. And the rule is 3 +, 2 − , 1 +, 1 − in a period. By utilizing the rule, the positive equilibrium point of the equation is verified to be globally asymptotically stable
We investigate the global behavior of nonnegative solutions of the difference equation xn+1 = δxn−m ...
The main goal of this paper is to investigate the periodic character, invariant intervals, oscillati...
AbstractIn this paper, the rule for the lengths of positive and negative semicycles of nontrivial so...
In this paper the dynamics for a third-order nonlinear difference equation is considered in detail. ...
Abstract In this paper, we consider the rule of trajectory structure for a kind of second-order rati...
We investigate the global asymptotic stability, the periodic nature, the rate of convergence, and th...
We consider the dynamical properties for a kind of fourth-order rational difference equations. The k...
AbstractWe consider in this work the fourth-order rational difference equation xn+1=xnxn−2xn−3+xn+xn...
The rule of trajectory structure for fourth-order nonlinear difference equation , where and the i...
This paper deals with the boundedness, persistence, and global asymptotic stability of positive solu...
We provide three results in this dissertation: first, we establish a method for determining the rate...
A nonlinear rational difference equation was investigated with respect to the positive parameters an...
In this paper, we will investigate the dynamics of a nonlinear rational difference equation of a hig...
A nonlinear rational difference equation was investigated with respect to the positive parameters an...
In this paper, the rule of trajectory structure of a fourth-order ra-tional difference equation is c...
We investigate the global behavior of nonnegative solutions of the difference equation xn+1 = δxn−m ...
The main goal of this paper is to investigate the periodic character, invariant intervals, oscillati...
AbstractIn this paper, the rule for the lengths of positive and negative semicycles of nontrivial so...
In this paper the dynamics for a third-order nonlinear difference equation is considered in detail. ...
Abstract In this paper, we consider the rule of trajectory structure for a kind of second-order rati...
We investigate the global asymptotic stability, the periodic nature, the rate of convergence, and th...
We consider the dynamical properties for a kind of fourth-order rational difference equations. The k...
AbstractWe consider in this work the fourth-order rational difference equation xn+1=xnxn−2xn−3+xn+xn...
The rule of trajectory structure for fourth-order nonlinear difference equation , where and the i...
This paper deals with the boundedness, persistence, and global asymptotic stability of positive solu...
We provide three results in this dissertation: first, we establish a method for determining the rate...
A nonlinear rational difference equation was investigated with respect to the positive parameters an...
In this paper, we will investigate the dynamics of a nonlinear rational difference equation of a hig...
A nonlinear rational difference equation was investigated with respect to the positive parameters an...
In this paper, the rule of trajectory structure of a fourth-order ra-tional difference equation is c...
We investigate the global behavior of nonnegative solutions of the difference equation xn+1 = δxn−m ...
The main goal of this paper is to investigate the periodic character, invariant intervals, oscillati...
AbstractIn this paper, the rule for the lengths of positive and negative semicycles of nontrivial so...
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