On the Asymptotic Behavior of a Difference Equation with Maximum

Fangkuan Sun

Discrete Dynamics in Nature and Society, 2008, vol. 2008, 1-6

Abstract:

We study the asymptotic behavior of positive solutions to the difference equation ð ‘¥ ð ‘› = m a x { A / x ð ›¼ n - 1 , ð µ / ð ‘¥ ð ›½ ð ‘› − 2 } , ð ‘› = 0 , 1 , … , where 0 < ð ›¼ , ð ›½ < 1 , ð ´ , ð µ > 0 . We prove that every positive solution to this equation converges to ð ‘¥ ∗ = m a x { A 1 / ( ð ›¼ + 1 ) , ð µ 1 / ( ð ›½ + 1 ) } .

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:243291

DOI: 10.1155/2008/243291

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