Global Behavior of Two Families of Nonlinear Symmetric Difference Equations | Zendy

Wanping Liu | Zendy; Xiaofan Yang | Zendy; LuXing Yang | Zendy

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Global Behavior of Two Families of Nonlinear Symmetric Difference Equations

Author(s) -

Wanping Liu,

Xiaofan Yang,

LuXing Yang

Publication year - 2010

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 - 10.1155/2010/367492

Subject(s) - mathematics , nonlinear system , exponential stability , exponential function , convergence (economics) , inverse , stability (learning theory) , order (exchange) , mathematical analysis , physics , computer science , geometry , finance , quantum mechanics , machine learning , economics , economic growth

We mainly investigate the global asymptotic stability and exponential convergence of positive solutions to two families of higher-order difference equations, one of which was recently studied in Stević's paper (2010). A new concise proof is given to a quite recent result by Stević and analogous parallel result of the other inverse equation, which extend related results of Aloqeili (2009), Berenhaut and Stević (2007), and Liao et al. (2009)

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