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On the global attractivity of difference equation of higher order
Journal article   Peer reviewed

On the global attractivity of difference equation of higher order

E. M. Elabbasy and E. M. Elsayed
Carpathian Journal of Mathematics, Vol.24(2), pp.45-53
01/01/2008

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper we investigate the global convergence result and boundedness of solutions of the recursive sequence x(n+1) = ax(n)(p) + b Pi(p)(r=1) x(n-r)/cx(n)(p) + d Pi(p)(r=1) x(n-r), n = 0, 1, ... where the parameters a, b, c and d are positive real numbers and the initial values x(-p), x(-p+1), ..., x(-1) and x(0) are arbitrary positive numbers.

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