On the Global Asymptotic Stability of a Second-Order System of Difference Equations

A sufficient condition is obtained for the global asymptotic stability of the following system of difference equations 𝑧𝑛+1=(𝑡𝑛𝑧𝑛−1+𝑎)/(𝑡𝑛+𝑧𝑛−1),𝑡𝑛+1=(𝑧𝑛𝑡𝑛−1+𝑎)/(𝑧𝑛+𝑡𝑛−1),𝑛=0,1,2,…, where the parameter 𝑎𝜖(0,∞) and the initial values (𝑧𝑘,𝑡𝑘)𝜖(0,∞) (for 𝑘=−1,0)....

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Bibliographic Details
Main Author: Ibrahim Yalcinkaya
Format: Article
Language:English
Published: Wiley 2008-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2008/860152
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