Abstract:
We consider a class of systems of nonlinear differential equations of neutral type with several delays. We obtain conditions of exponential stability of the zero solution and establish estimates characterizing exponential decay rate of solutions at infinity.
Keywords:
systems of neutral type, several delays, exponential stability, Lyapunov–Krasovskii functional, estimates for solutions.
Citation:
G. V. Demidenko, I. I. Matveeva, “Estimates for Solutions to One Class of Nonlinear Systems of Neutral Type with Several Delays”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 14:4 (2014), 32–43; J. Math. Sci., 213:6 (2016), 811–822
\Bibitem{DemMat14}
\by G.~V.~Demidenko, I.~I.~Matveeva
\paper Estimates for Solutions to One Class of Nonlinear Systems of Neutral Type with Several Delays
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2014
\vol 14
\issue 4
\pages 32--43
\mathnet{http://mi.mathnet.ru/vngu353}
\transl
\jour J. Math. Sci.
\yr 2016
\vol 213
\issue 6
\pages 811--822
\crossref{https://doi.org/10.1007/s10958-016-2742-0}
Linking options:
https://www.mathnet.ru/eng/vngu353
https://www.mathnet.ru/eng/vngu/v14/i4/p32
This publication is cited in the following 1 articles:
G. V. Demidenko, I. I. Matveeva, Springer Proceedings in Mathematics & Statistics, 379, Functional Differential Equations and Applications, 2021, 145