On the Characterization of a Class of Difference Equations

We focus on the behavior of solutions of the difference equation 𝑥𝑛=𝑏1𝑥𝑛−1+𝑏2𝑥𝑛−2+⋯+𝑏𝑛𝑥0+𝑦𝑛, 𝑛=1,2,…, where (𝑏𝑘) is a fixed sequence of complex numbers, and (𝑦𝑘) is a fixed sequence in a complex Banach space. We give the general solution of this difference equation. To examine the asymptotic behavio...

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Bibliographic Details
Main Author: Muhammed Altun
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2011/570139
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