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BOUNDEDNESS AND STABILITY OF A RATIONAL DIFFERENCE EQUATION WITH DELAY
Journal article

BOUNDEDNESS AND STABILITY OF A RATIONAL DIFFERENCE EQUATION WITH DELAY

T. F. Ibrahim
Revue roumaine de mathématiques pures et appliquées, Vol.57(3), pp.215-224
01/01/2012

Abstract

Mathematics Physical Sciences Science & Technology
In this paper we investigate the global stability, persistence, boundedness of solutions of the recursive sequence (0.0.1) x(n+1) = ax(n)(q) + Sigma(P)(r=1) x(n-r)(q)/bx(n)(q) + Sigma(p)(r=1) x(n-r)(q), where a, b is an element of(0, infinity), p, q >= 1 with the initial conditions x(0), x(-1),... and x(-p) is an element of(0, infinity).

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