文章基本信息

标题：On the Asymptotic Behavior of a Difference Equation with Maximum
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作者：Fangkuan Sun
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2008
卷号：2008
DOI：10.1155/2008/243291
出版社：Hindawi Publishing Corporation
摘要：We study the asymptotic behavior of positive solutions to the difference equation 𝑥𝑛=max{A/x𝛼n-1,𝐵/𝑥𝛽𝑛−2}, 𝑛=0,1,…, where 0<𝛼,𝛽<1,𝐴,𝐵>0. We prove that every positive solution to this equation converges to 𝑥∗=max{A1/(𝛼