We consider systems of quasilinear delay differential equations of neutral type and establish the condition of stability of the zero solution, as well as uniform estimates for the solution on the half-axis. In the case of asymptotic stability, these estimates provides the decay rate of the solution at infinity. Bibliography: 17 titles.
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Translated from Vestnik Novosibirskogo Gosudarstvennogo Universiteta: Seriya Matematika, Mekhanika, Informatika 10, No. 3, 2010, pp. 17–29.
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Demidenko, G.V., Kotova, T.V. & Skvortsova, M.A. Stability of solutions to differential equations of neutral type. J Math Sci 186, 394–406 (2012). https://doi.org/10.1007/s10958-012-0994-x
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DOI: https://doi.org/10.1007/s10958-012-0994-x