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The freezing method for linear difference equations. (English) Zbl 1005.39005
By means of the freezing method [cf. R. E. Vinograd, Proc. Am. Soc. 89, 125-129 (1983; Zbl 0525.34040)] new stability criteria and solution estimates are derived for linear difference systems $$x_{k+1}= A_kx_k$$. The usual condition $$\|A_k\|\leq 1$$ is replaced by $$\|A_k-A_j \|\leq q_{k-j}$$ with even $$q_k$$.

##### MSC:
 39A11 Stability of difference equations (MSC2000) 39A12 Discrete version of topics in analysis
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##### References:
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