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International Journal of Mathematics and Mathematical Sciences 
Volume 2004 (2004), Issue 27, Pages 1447-1453
doi:10.1155/S016117120430801X

Estimates for the norms of solutions of difference systems with several delays

Rigoberto Medina

Departamento de Ciencias Exactas, Universidad de Los Lagos, Casilla 933, Chile

Received 1 August 2003

Abstract

We derive explicit stability conditions for time-dependent difference equations with several delays in Cn (the set of n complex vectors) and estimates for the size of the solutions. The growth rates obtained here are not necessarily decay rates.