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Applicable Analysis
An International Journal
Volume 87, 2008 - Issue 6
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Original Articles

Global asymptotic stability of a system of difference equations

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Pages 677-687 | Received 17 Jan 2008, Accepted 30 Mar 2008, Published online: 27 Jul 2010

References

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  • Abu-Saris , R , Cinar , C and Yalcinkaya , I . 2008 . “ On the asymptotic stability of x n+1 = ( x n x n−k  + a )/( x n  + x n−k ) ” . In Comput. Math. Appl. (2008) (in press)
  • Amleh , AM , Kruse , N and Ladas , G . 1999 . On a class of difference equations with strong negative feedback . J. Diff. Equa. Appl. , 5 ( 6 ) : 497 – 515 .
  • De Vault , R , Ladas , G and Schultz , SW . 1998 . On the recursive sequence x n+1 = A/x n  + 1/x n−2 . Proc. Amer. Math. Soc. , 126 ( 11 ) : 3257 – 3261 .
  • Kulenovic , MRS and Merino , O . 2002 . Discrete Dynamical Systems and Difference Equations with Mathematica , New York : Chapman & Hall/CRC Press .
  • Li , X and Zhu , D . 2003 . Global asymptotic stability in a rational equation . J. Diff. Equat. Appl. , 9 : 833 – 839 .
  • Papaschinopoluos , G and Schinas , CJ . 1998 . On the behaviour of the solutions of a system of two nonlinear difference equations . Commun. Appl. Nonlin. Analy. , 5 : 47 – 59 .
  • Papaschinopoluos , G and Schinas , CJ . 1999 . Invariants for systems of two nonlinear difference equations . Diff. Equat. Dynam. Syst. , 7 ( 2 ) : 181 – 196 .
  • Papaschinopoluos , G , Schinas , CJ and Stefanidou , G . 2007 . On a k-order system of lyness-type difference equations . Adv. Diff. Equat. , 2007 : 13 Article ID 31272

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