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Variationally stable difference systems. (English) Zbl 0976.39002
The authors derive $h$-stability conditions (defined in the paper) for nonlinear difference systems $$x(n+1)=f(n,x(n))$$ and their perturbed difference systems $$y(n+1)=f(n,y(n))+g(n,y(n)),$$ where $x(n)$ and $y(n)$ are appropriately defined in the paper.

##### MSC:
 39A11 Stability of difference equations (MSC2000)
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##### References:
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