We consider a class of systems of delay difference equations with constant coefficients and variable delay parameter. We study the asymptotic stability of the zero solution and obtain estimates for the solution which characterize the decay rate at infinity.
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Translated from Vestnik Novosibirskogo Gosudarstvennogo Universiteta: Seriya Matematika, Mekhanika, Informatika 15, No. 4, 2015, pp. 50-62.
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Demidenko, G.V., Baldanov, D.S. Asymptotic Stability of Solutions to Delay Difference Equations. J Math Sci 221, 815–825 (2017). https://doi.org/10.1007/s10958-017-3269-8
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DOI: https://doi.org/10.1007/s10958-017-3269-8