International Journal of Mathematics and Mathematical Sciences
Volume 30 (2002), Issue 11, Pages 697-703

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

Copyright © 2002 Rigoberto Medina. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We derive explicit stability conditions for delay difference equations in n (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.