JIPAM

Inequalities That Lead To Exponential Stability And Instability In Delay Difference Equations  
 
  Authors: Youssef Raffoul,  
  Keywords: Exponential stability, Instability, Lyapunov functional.  
  Date Received: 26/06/2009  
  Date Accepted: 18/08/2009  
  Subject Codes:

34D20, 34D40, 34K20.

  
  Editors: Ravi P. Agarwal,  
 
  Abstract:

We use Lyapunov functionals to obtain sufficient conditions that guarantee exponential stability of the zero solution of the delay difference equation

$displaystyle x(t+1) = a(t)x(t)+b(t)x(t-h).$    
The highlight of the paper is the relaxing of the condition ;


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