Asymptotic Constancy in Linear Difference Equations: Limit Formulae and Sharp Conditions

It is found that every solution of a system of linear delay difference equations has finite limit at infinity, if some conditions are satisfied. These are much weaker than the known sufficient conditions for asymptotic constancy of the solutions. When we impose some positivity assumptions on the coe...

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Bibliographic Details
Main Authors: László Horváth, István Győri
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Advances in Difference Equations
Online Access:http://dx.doi.org/10.1155/2010/789302