scholarly journals A note on asymptotic stability of delay difference systems

2005 ◽  
Vol 2005 (2) ◽  
pp. 764965 ◽  
Author(s):  
Hideaki Matsunaga
Keyword(s):  
Asymptotic Stability ◽  
Difference Systems ◽  
Delay Difference

On asymptotic stability of delay-difference systems

2006 ◽  
Vol 176 (2) ◽  
pp. 759-767 ◽  
Author(s):  
Xin-Yuan Liao ◽  
Hui-Yan Zhu ◽  
Feng-de Chen
Keyword(s):  
Asymptotic Stability ◽  
Difference Systems ◽  
Delay Difference

scholarly journals Estimates for the norms of solutions of delay difference systems

2002 ◽  
Vol 30 (11) ◽  
pp. 697-703 ◽  
Author(s):  
Rigoberto Medina
Keyword(s):  
Difference Equations ◽  
Stability Conditions ◽  
Partial Difference Equations ◽  
Partial Difference ◽  
Difference Systems ◽  
Reaction Processes ◽  
Delay Difference Equations ◽  
Model Diffusion ◽  
Delay Difference

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

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