Coefficient conditions for the asymptotic stability of solutions of systems of linear difference equations with continuous time and delay

1998 ◽  
Vol 50 (4) ◽  
pp. 586-592 ◽  
Author(s):  
D. G. Korenevskii ◽  
K. Kaizer
Keyword(s):  
Asymptotic Stability ◽  
Difference Equations ◽  
Continuous Time ◽  
Stability Of Solutions ◽  
Linear Difference Equations

scholarly journals Asymptotic Stability Results for Nonlinear Fractional Difference Equations

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Fulai Chen ◽  
Zhigang Liu
Keyword(s):  
Fixed Point ◽  
Asymptotic Stability ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Difference Equations ◽  
Stability Of Solutions ◽  
Fractional Difference ◽  
Krasnoselskii’S Fixed Point Theorem ◽  
Fractional Difference Equations ◽  
Stability Results

We present some results for the asymptotic stability of solutions for nonlinear fractional difference equations involvingRiemann-Liouville-likedifference operator. The results are obtained by using Krasnoselskii's fixed point theorem and discrete Arzela-Ascoli's theorem. Three examples are also provided to illustrate our main results.

Stability of solutions of linear difference equations with periodic coefficients

1996 ◽  
Vol 64 (5) ◽  
pp. 959-966 ◽  
Author(s):  
Ya. Z. TSYPKIN ◽  
P. C. PARKS ◽  
A. N. VISHNYAKOV ◽  
K. WARWICK
Keyword(s):  
Difference Equations ◽  
Stability Of Solutions ◽  
Linear Difference Equations ◽  
Periodic Coefficients
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