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Solution and Attractivity for a Rational Recursive Sequence
Journal article   Open access  Peer reviewed

Solution and Attractivity for a Rational Recursive Sequence

E. M. Elsayed
Discrete dynamics in nature and society, Vol.2011, pp.1-17
01/01/2011
DOI: https://doi.org/10.1155/2011/982309

Abstract

Mathematics Mathematics, Interdisciplinary Applications Multidisciplinary Sciences Physical Sciences Science & Technology Science & Technology - Other Topics
This paper is concerned with the behavior of solution of the nonlinear difference equation x(n+1) = ax(n-1) + bx(n)x(n-1)/(cx(n) + dx(n-2)), n = 0, 1, ... , where the initial conditions x(-2), x(-1), x(0) are arbitrary positive real numbers and a, b, c, d are positive constants. Also, we give specific form of the solution of four special cases of this equation.
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https://doi.org/10.1155/2011/982309View
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