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International Journal of Mathematics and Mathematical Sciences 
Volume 30 (2002), Issue 11, Pages 697-703
doi:10.1155/S0161171202013017

Estimates for the norms of solutions of delay difference systems

Rigoberto Medina

Departmento de Ciencias Exactas, Universidad de Los Lagos, Casilla 933, Osorno, Chile

Received 26 April 2001

Abstract

We derive explicit stability conditions for delay difference equations in ℂn (the set of n complex vectors) and estimates for the size of the solutions are derived. Applications to partial difference equations, which model diffusion and reaction processes, are given.