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
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.
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.