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On the Behavior of Solutions of the System of Rational Difference Equations: 𠑥 𠑛 + 1 = 𠑥 𠑛 − 1 / ( 𠑦 𠑛 𠑥 𠑛 − 1 − 1 ) , 𠑦 𠑛 + 1 = 𠑦 𠑛 − 1 / ( 𠑥 𠑛 𠑦 𠑛 − 1 − 1 ) , and 𠑧 𠑛 + 1 = 𠑧 𠑛 − 1 / ( 𠑦 𠑛 𠑧 𠑛 − 1 − 1 )

Author

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  • Abdullah Selçuk Kurbanli

Abstract

We investigate the solutions of the system of difference equations 𠑥 𠑛 + 1 = 𠑥 𠑛 − 1 / ( 𠑦 𠑛 𠑥 𠑛 − 1 − 1 ) , 𠑦 𠑛 + 1 = 𠑦 𠑛 − 1 / ( 𠑥 𠑛 𠑦 𠑛 − 1 − 1 ) , 𠑧 𠑛 + 1 = 𠑧 𠑛 − 1 / ( 𠑦 𠑛 𠑧 𠑛 − 1 − 1 ) , where 𠑦 0 , 𠑦 − 1 , 𠑥 0 , 𠑥 − 1 , 𠑧 − 1 , 𠑧 0 ∈ ℠.

Suggested Citation

  • Abdullah Selçuk Kurbanli, 2011. "On the Behavior of Solutions of the System of Rational Difference Equations: ð ‘¥ ð ‘› + 1 = ð ‘¥ ð ‘› − 1 / ( 𠑦 ð ‘› ð ‘¥ ð ‘› − 1 − 1 ) , 𠑦 ð ‘› + 1 = 𠑦 ð ‘› − 1 / ( ð ‘¥ ð ‘› 𠑦 ð ‘› − 1 − 1 ) , and 𠑧 ð ‘› + 1 = 𠑧 ð ‘›," Discrete Dynamics in Nature and Society, Hindawi, vol. 2011, pages 1-12, March.
    • Handle: RePEc:hin:jnddns:932362
    DOI: 10.1155/2011/932362
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    Cited by:

    1. Vladimir Mau & Konstantin Yanovskiy & O. Vakhromeev, 2007. "Closed Democracy Institutions: an Attempt of Contrastive Analysis," Research Paper Series, Gaidar Institute for Economic Policy, issue 107P.

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