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On a class of higher-order difference equations

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  • Stević, Stevo

Abstract

This paper presents a comprehensive study of the boundedness, global asymptotic stability and periodic character for positive solutions of a higher-order difference equation of interest.

Suggested Citation

  • Stević, Stevo, 2009. "On a class of higher-order difference equations," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 138-145.
  • Handle: RePEc:eee:chsofr:v:42:y:2009:i:1:p:138-145
    DOI: 10.1016/j.chaos.2008.11.012
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    References listed on IDEAS

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    1. El-Metwally, H. & El-Afifi, M.M., 2008. "On the behavior of some extension forms of some population models," Chaos, Solitons & Fractals, Elsevier, vol. 36(1), pages 104-114.
    2. Stević, Stevo, 2009. "Boundedness character of a fourth order nonlinear difference equation," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2364-2369.
    3. Fangkuan Sun, 2008. "On the Asymptotic Behavior of a Difference Equation with Maximum," Discrete Dynamics in Nature and Society, Hindawi, vol. 2008, pages 1-6, July.
    4. Leonid Gutnik & Stevo Stevic, 2007. "On the Behaviour of the Solutions of a Second-Order Difference Equation," Discrete Dynamics in Nature and Society, Hindawi, vol. 2007, pages 1-14, April.
    5. El-Metwally, H., 2007. "Global behavior of an economic model," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 994-1005.
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