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Dynamics and behaviour of a high order rational difference equation
Journal article   Open access

Dynamics and behaviour of a high order rational difference equation

E. M. Elsayed
The journal of nonlinear sciences and its applications, Vol.9(4), pp.1463-1474
01/01/2016

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We study the global result, boundedness, and periodicity of solutions of the difference equation x(n+1) = a + bx(n-l) + cx(n-k)/dx(n-l) + ex(n-k), n = 0,1, ..., where the parameters a, b, c, d, and e are positive real numbers and the initial conditions x(-t), x(-t+1), ..., x(-1) and x(0) are positive real numbers where t = max{l, k}, l not equal k. (C) 2016 All rights reserved.
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https://doi.org/10.22436/jnsa.009.04.06View
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