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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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Related topics
5 relations
Iterated function
Linear difference equation
Matrix difference equation
Optimal control
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Papers overview
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2016
2016
On the solutions of a higher‐order difference equation in terms of generalized Fibonacci sequences
Yacine Halim
,
M. Bayram
2016
Corpus ID: 119133284
This paper deals with the solutions, stability character, and asymptotic behavior of the difference equation xn+1=αβ+γxn−k;n∈N0…
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2016
2016
BIRKHOFF NORMAL FORMS, KAM THEORY, PERIODICITY AND SYMMETRIES FOR CERTAIN RATIONAL DIFFERENCE EQUATION WITH CUBIC TERMS
M. Nurkanović
,
Z. Nurkanović
2016
Corpus ID: 125507198
By using the Kolmogorov-Arnold-Moser (KAM) theory, we investigate the stability of the positive elliptic equilibrium point of the…
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2011
2011
Qualitative behavior of a rational difference equation
X. Qian
,
Shi Qi-hong
2011
Corpus ID: 13024906
This article is concerned with the following rational difference equation yn+1= (yn+ yn-1)/(p + ynyn-1) with the initial…
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2009
2009
DYNAMICS OF A HIGHER ORDER RATIONAL DIFFERENCE EQUATION
Yanqin Wang
2009
Corpus ID: 54965645
In this paper, we investigate the invariant interval, periodic character, semicycle and global attractivity of all positive…
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2009
2009
Dynamics Of A Rational Difference Equation Of Higher Order
Cong Zhang
,
Hong-Xu Li
2009
Corpus ID: 13939603
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…
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2009
2009
On the Third Order Rational Difference Equation
T. F. Ibrahim
2009
Corpus ID: 116831280
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…
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2008
2008
On the asymptotic stability of xn+1=(a+xnxn-k)/(xn+xn-k)
R. Abu-Saris
,
C. Çinar
,
I. Yalçinkaya
Comput. Math. Appl.
2008
Corpus ID: 1245347
Highly Cited
2008
Highly Cited
2008
On the Dynamics of a Rational Difference Equation, Part 1
A. Amleh
,
E. Camouzis
,
Aghia Paraskevi
2008
Corpus ID: 18560366
We investigate the global stability character, the periodic nature, and the boundedness of solutions of a rational difference…
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2006
2006
Global behavior of a higher-order rational difference equation
H. Xi
,
T. Sun
2006
Corpus ID: 42075080
We investigate in this paper the global behavior of the following difference equation: , n = 0,1,..., under appropriate…
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2004
2004
Rate of convergence of solutions of rational difference equation of second order
S. Kalabušić
,
M. Kulenovic
2004
Corpus ID: 26331304
We investigate the rate of convergence of solutions of some special cases of the equation , with positive parameters and…
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