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标题：Asymptotic Behavior of Solutions for Nonlinear Volterra Discrete Equations
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作者：E. Messina ; Y. Muroya ; E. Russo 等
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：10.1155/2008/867623
出版社：Hindawi Publishing Corporation
摘要：We consider nonlinear difference equations of unbounded order of the form 𝑥𝑖=𝑏𝑖−∑𝑖𝑗=0𝑎𝑖,𝑗𝑓𝑖−𝑗(𝑥𝑗),𝑖=0,1,2,…, where 𝑓𝑗(𝑥)(𝑗=0,…,𝑖) are suitable functions. We establish sufficient conditions for the boundedness and the convergence of 𝑥𝑖 as 𝑖→