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Global attractivity in the recursive sequence <f>xn+1=(α−βxn)/(γ−xn−1)</f>

Authors :
Yan, Xing-Xue
Li, Wan-Tong
Source :
Applied Mathematics & Computation. Jun2003, Vol. 138 Issue 2/3, p415. 9p.
Publication Year :
2003

Abstract

Our aim in this paper is to investigate the global attractivity of the recursive sequencexn+1=&lt;NU&gt;α−βxn&lt;/NU&gt;/γ−xn−1, n=0,1,…,where &lt;f&gt;α&amp;ges;0&lt;/f&gt;, &lt;f&gt;β,γ&gt;0&lt;/f&gt;. We show that one positive equilibrium point of the equation is a global attractor with a basin that depends on certain conditions posed on the coefficients. [Copyright &amp;y&amp; Elsevier]

Details

Language :
English
ISSN :
00963003
Volume :
138
Issue :
2/3
Database :
Academic Search Index
Journal :
Applied Mathematics & Computation
Publication Type :
Academic Journal
Accession number :
8668891
Full Text :
https://doi.org/10.1016/S0096-3003(02)00145-5