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.
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
\Bibitem{Skv13}
\by M.~A.~Skvortsova
\paper Asymptotic Properties of Solutions to Systems of Differential Equations of~Neutral Type in Time-Varying Delay Case
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2013
\vol 13
\issue 4
\pages 143--152
\mathnet{http://mi.mathnet.ru/vngu320}
\transl
\jour J. Math. Sci.
\yr 2015
\vol 205
\issue 3
\pages 455--463
\crossref{https://doi.org/10.1007/s10958-015-2259-y}
Linking options:
https://www.mathnet.ru/eng/vngu320
https://www.mathnet.ru/eng/vngu/v13/i4/p143
This publication is cited in the following 2 articles:
Yener Altun, “Stability estimates for a class of neutral type systems with distributed time-varying delay components”, Adv Cont Discr Mod, 2025:1 (2025)
Brahim Benhammouda, Hector Vazquez-Leal, “A new multi-step technique with differential transform method for analytical solution of some nonlinear variable delay differential equations”, SpringerPlus, 5:1 (2016)