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Rational difference equation

A rational difference equation is a nonlinear difference equation of the form where the initial conditions are such that the denominator never… 
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Papers overview

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2016
2016
This paper deals with the solutions, stability character, and asymptotic behavior of the difference equation xn+1=αβ+γxn−k;n∈N0… 
2016
2016
By using the Kolmogorov-Arnold-Moser (KAM) theory, we investigate the stability of the positive elliptic equilibrium point of the… 
2011
2011
This article is concerned with the following rational difference equation yn+1= (yn+ yn-1)/(p + ynyn-1) with the initial… 
2009
2009
In this paper, we investigate the invariant interval, periodic character, semicycle and global attractivity of all positive… 
2009
2009
We investigate the global behavior of nonnegative solutions of the difference equation xn+1 = �x n m + xn k A + xn k ,n = 0,1,2… 
2009
2009
In this paper we will give the solutions of the rational difference equation xn+1 = xn xn�2 xn�1(a+ bx n xn�2) ,n =0 , 1,..where… 
Highly Cited
2008
Highly Cited
2008
We investigate the global stability character, the periodic nature, and the boundedness of solutions of a rational difference… 
2006
2006
We investigate in this paper the global behavior of the following difference equation: , n = 0,1,..., under appropriate… 
2004
2004
We investigate the rate of convergence of solutions of some special cases of the equation , with positive parameters and…