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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… Expand
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2011
2011
This article is concerned with the following rational difference equation yn+1= (yn+ yn-1)/(p + ynyn-1) with the initial… Expand
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Highly Cited
2009
Highly Cited
2009
We describe all the solutions of a rational difference equation from Putnam's mathematical competition, which are eventually… Expand
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2009
2009
Motivated by ideas from papers: C. Cinar, I. Yalcinkaya, S. Stevic, A note on global asymptotic stability of a family of rational… Expand
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2009
2009
In this paper, we consider the (k+1)-order rational difference equation yn+1=p+qyn+ryn−k1+yn−k,n=0,1,2,… where k∈{1,2,3,…}, and… Expand
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Highly Cited
2007
Highly Cited
2007
Abstract We prove that the Putnam difference equation x n + 1 = x n + x n − 1 + x n − 2 x n − 3 x n x n − 1 + x n − 2 + x n − 3… Expand
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2006
2006
Abstract In this note, we investigate the solution of the difference equation x n + 1 = x n - 1 a - x n - 1 x n , n = 0 , 1 , 2… Expand
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2006
2006
We investigate in this paper the global behavior of the following difference equation: , n = 0,1,..., under appropriate… Expand
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2006
2006
In this article, we investigate the dynamics of the difference equation x"n"+"1=x"n"-"kA+x"n"-"kx"n, where x"-"k,...,x"0>0 and A… Expand
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2005
2005
In this paper, we investigate the periodic character, invariant intervals, oscillation and global stability of all positive… Expand
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2004
2004
We investigate the rate of convergence of solutions of some special cases of the equation , with positive parameters and… Expand
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