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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:
[1] Agarwal R.P., Advances Topics in Difference Equations (1997)
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[6] DOI: 10.1007/978-1-4615-5575-9 · doi:10.1007/978-1-4615-5575-9
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[8] DOI: 10.1090/S0002-9939-1983-0706524-1 · doi:10.1090/S0002-9939-1983-0706524-1
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