Convergence and Divergence of the Solutions of a Neutral Difference Equation

We investigate the asymptotic behavior of the solutions of a neutral type difference equation of the form Δ[𝑥(𝑛)+𝑐𝑥(𝜏(𝑛))]+𝑝(𝑛)𝑥(𝜎(𝑛))=0, where 𝜏(𝑛) is a general retarded argument, 𝜎(𝑛) is a general deviated argument (retarded or advanced), 𝑐∈ℝ, (𝑝(𝑛))𝑛≥0 is a sequence of positive real numbers such...

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Bibliographic Details
Main Authors: G. E. Chatzarakis, G. N. Miliaras
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2011/262316
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