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Quantitative Bounds for Positive Solutions of a Stević Difference Equation

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  • Wanping Liu
  • Xiaofan Yang

Abstract

This paper studies the behavior of positive solutions to the following particular case of a difference equation by Stević ð ‘¥ ð ‘› + 1 = ð ´ + ð ‘¥ ð ‘ ð ‘› / ð ‘¥ ð ‘ ð ‘˜ + 1 ð ‘› − 𠑘 , ð ‘› ∈ â„• 0 , where ð ´ , , , and presents theoretically computable explicit lower and upper bounds for the positive solutions to this equation. Besides, a concrete example is given to show the computing approaches which are effective for small parameters. Some analogous results are also established for the corresponding Stević max-type difference equation.

Suggested Citation

  • Wanping Liu & Xiaofan Yang, 2010. "Quantitative Bounds for Positive Solutions of a Stević Difference Equation," Discrete Dynamics in Nature and Society, Hindawi, vol. 2010, pages 1-14, June.
    • Handle: RePEc:hin:jnddns:235808
    DOI: 10.1155/2010/235808
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