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On the Global Asymptotic Stability of a Second-Order System of Difference Equations
Author(s) -
İbrahim Yalçınkaya
Publication year - 2008
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/2008/860152
Subject(s) - exponential stability , stability (learning theory) , mathematics , order (exchange) , mathematical analysis , physics , nonlinear system , computer science , quantum mechanics , finance , machine learning , economics
A sufficient condition is obtained for the global asymptoticstability of the following system of difference equations +1=(−1+)/(+−1),+1=(−1+)/(+−1),=0,1,2,…, where the parameter (0,∞) and the initial values (,)(0,∞) (for =−1,0)

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