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Zbl 1191.39016
Čermák, Jan
Asymptotic bounds for linear difference systems. (English)
[J] Adv. Difference Equ. 2010, Article ID 182696, 14 p. (2010). ISSN 1687-1847/e

Summary: This paper describes asymptotic properties of solutions of some linear difference systems. First we consider system of a general form and estimate its solutions by use of a solution of an auxiliary scalar difference inequality assuming that this solution admits certain properties. Then applying this result to linear difference systems of a variable order with constant (or bounded) coefficients we derive effective asymptotic criteria for such systems. Beside it, we give applications of these results to numerical analysis of vector differential equations with infinite lags.
MSC 2000:
*39A22
39A06

Keywords: asymptotic; linear difference systems

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