Stability of the recursive sequence x(n+1) = (alpha-beta x(n))/(gamma+x(n-1))

Authors
Aboutaleb, MT El-Sayed, MA Hamza, AE
Citation
Mt. Aboutaleb et al., Stability of the recursive sequence x(n+1) = (alpha-beta x(n))/(gamma+x(n-1)), J MATH ANAL, 261(1), 2001, pp. 126-133
Citations number
5
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
261
Issue
1
Year of publication
2001
Pages
126 - 133
Database
ISI
SICI code
0022-247X(20010901)261:1<126:SOTRSX>2.0.ZU;2-V
Abstract
In this paper we investigate the global asymptotic stability of the recursi ve sequence x (n +) (1) = (alpha - betax(n))/(gamma + x(n - 1)), n = 0,1,.. , where alpha, beta, gamma greater than or equal to 0. We show that the uni que positive equilibrium point of the equation is a global attractor with a basin that depends on the conditions posed on the coefficients. (C) 2001 A cademic Press.