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Journal of Difference Equations and Applications Volume 17, 2011 - Issue 1
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Original Articles

Global attractivity of the equilibrium of a difference equation: An elementary proof assisted by computer algebra system

Orlando Merino Department of Mathematics, University of Rhode Island, Kingston, RI, 02881, USACorrespondence[email protected]
Pages 33-41 | Received 05 Nov 2008, Accepted 24 Mar 2009, Published online: 13 Dec 2010

Citations (9)

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Read on this site (3)

Guifeng Deng & Fengjie Geng. (2015) Global stability and bifurcations of perturbed Gumowski–Mira difference equation. Journal of Difference Equations and Applications 21:9, pages 774-790.
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Ferenc A. Bartha, Ábel Garab & Tibor Krisztin. (2013) Local stability implies global stability for the 2-dimensional Ricker map. Journal of Difference Equations and Applications 19:12, pages 2043-2078.
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Guy Bastien & Marc Rogalski. (2013) Results and problems about solutions of perturbed Lyness' type order k difference equations in , with examples, and test of the efficiency of a quasi-Lyapunov function method. Journal of Difference Equations and Applications 19:8, pages 1331-1352.
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Articles from other publishers (6)

Ábel Garab, Víctor Jiménez López & Eduardo Liz. (2019) Global Asymptotic Stability of a Generalization of the Pielou Difference Equation. Mediterranean Journal of Mathematics 16:4.
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William T. Jamieson & Orlando Merino. (2015) Asymptotic behavior results for solutions to some nonlinear difference equations. Journal of Mathematical Analysis and Applications 430:2, pages 614-632.
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Guifeng Deng, Fengjie Geng & Yun Zhang. (2015) Global behavior of solutions of the generalized Lyness difference equations under quadratic perturbations. Applied Mathematics and Computation 259, pages 579-586.
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Ziyad AlSharawi, Asma Al-Ghassani & A. M. Amleh. (2015) Basin of Attraction through Invariant Curves and Dominant Functions. Discrete Dynamics in Nature and Society 2015, pages 1-11.
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Daniel Franco & Juan Peran. (2013) Unconditional convergence of difference equations. Boundary Value Problems 2013:1.
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Guifeng Deng, Qiuying Lu & Nianzu Liu. (2013) A general method for studying quadratic perturbations of the third-order Lyness difference equation. Advances in Difference Equations 2013:1.
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