Quantitative Bounds for Positive Solutions of a Stević Difference Equation

Wanping Liu and Xiaofan Yang

Discrete Dynamics in Nature and Society, 2010, vol. 2010, 1-14

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.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:235808

DOI: 10.1155/2010/235808

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