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DYNAMICAL BEHAVIOR AND SOLUTION OF NONLINEAR DIFFERENCE EQUATION VIA FIBONACCI SEQUENCE
Journal article   Open access  Peer reviewed

DYNAMICAL BEHAVIOR AND SOLUTION OF NONLINEAR DIFFERENCE EQUATION VIA FIBONACCI SEQUENCE

E. M. Elsayed, Faris Alzahrani, Ibrahim Abbas, N. H. Alotaibi and Department of Mathematics, Faculty of Science, Mansoura University
Journal of applied analysis and computation, Vol.10(1), pp.282-296
01/02/2020
DOI: https://doi.org/10.11948/20190143

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we study the behavior of the difference equation x(n+1 )= ax(n) + bx(n)x(n-1)/Cx(n-1) + dx(n-2),( )n = 0,1, ..., where the initial conditions x(-2), x(-1), x(0) are arbitrary positive real num bers and a, b, c, d are positive constants. Also, we give the solution of some special cases of this equation.
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https://doi.org/10.11948/20190143View
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