Dynamics and Solutions of a Fifth-Order Nonlinear Difference Equation
2018 ◽
Vol 2018
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pp. 1-21
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Keyword(s):
The main objective of this paper is to study the behavior of the rational difference equation of the fifth-order yn+1=αyn+βynyn-3/(Ayn-4+Byn-3), n=0,1,…, where α,β,A, and B are real numbers and the initial conditions y-4,y-3,y-2,y-1 and y0 are positive real numbers such that Ay-4+By-3≠0. Also, we obtain the solution of some special cases of this equation.
2011 ◽
Vol 2011
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pp. 1-17
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2010 ◽
Vol 47
(3)
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pp. 401-418
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Keyword(s):
2013 ◽
Vol 2013
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pp. 1-6
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2020 ◽
Vol 5
(1)
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pp. 485-494
Keyword(s):
2010 ◽
Vol 2010
◽
pp. 1-17
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