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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 \(q_k\).

39A11 Stability of difference equations (MSC2000)
39A12 Discrete version of topics in analysis
Full Text: DOI
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