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On Averaging of Difference Equations on an Infinite Interval
Authors:Stanzhyts'kyi  A N  Ateiwi  A M
Institution:(1) Shevchenko Kiev National University, Kiev;(2) Al-Hussein Bin Talal University, Ma'an, Jordan
Abstract:The averaging method on a semiaxis is justified for systems of difference equations. A theorem on the closeness of the corresponding solutions of the exact and averaged systems on a semiaxis is proved. This theorem is analogous to the second Bogolyubov theorem on the averaging method for systems of difference equations.
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