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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2013, Volume 13, Issue 4, Pages 143–152
(Mi vngu320)
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This article is cited in 1 scientific paper (total in 1 paper)
Asymptotic Properties of Solutions to Systems of Differential Equations of Neutral Type in Time-Varying Delay Case
M. A. Skvortsovaab a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
Abstract:
The paper is devoted to research of asymptotic stability of the zero solution to one class of systems of linear differential equations of neutral type in time-varying delay case. We obtain sufficient conditions of asymptotic stability of the zero solution and establish estimates of decay rate for solutions. The results have derived by the use of a modified Lyapunov–Krasovskii functional.
Keywords:
systems of equations of neutral type, asymptotic stability, uniform estimates for solutions, modified Lyapunov–Krasovskii functional.
Received: 24.12.2012
Citation:
M. A. Skvortsova, “Asymptotic Properties of Solutions to Systems of Differential Equations of Neutral Type in Time-Varying Delay Case”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 13:4 (2013), 143–152; J. Math. Sci., 205:3 (2015), 455–463
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https://www.mathnet.ru/eng/vngu320 https://www.mathnet.ru/eng/vngu/v13/i4/p143
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Abstract page: | 201 | Full-text PDF : | 75 | References: | 37 | First page: | 7 |
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