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Mathematical notes of NEFU, 2022, Volume 29, Issue 3, Pages 93–107
DOI: https://doi.org/10.25587/SVFU.2022.50.52.008 (Mi svfu362) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Stability of solutions to systems of nonlinear differential equations of neutral type with distributed delay

T. K. Yskak

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (278 kB) Citations (1)
DOI: https://doi.org/10.25587/SVFU.2022.50.52.008
Abstract: We consider a class of systems of nonlinear differential equations of neu tral type with distributed delay and periodic coefficients in the linear part. Using the Lyapunov-Krasovskii functional, sufficient conditions for the exponential stability of the zero solution are established and estimates characterizing the rate of decay of solutions at infinity, as well as estimates of the set of attraction, are obtained.
Keywords: nonlinear differential equation, distributed delay, neutral type, periodiccoefficients, exponential stability, solution estimates, Lyapunov–Krasovskii functional.
Funding agency Grant number
State assignment of the S.L. Sobolev Institute of Mathematics Siberian Branch of the Russian Academy of Sciences FWNF–2022–0008
Received: 19.08.2022
Accepted: 31.08.2022
Document Type: Article
UDC: 517.929
Language: Russian
Citation: T. K. Yskak, “Stability of solutions to systems of nonlinear differential equations of neutral type with distributed delay”, Mathematical notes of NEFU, 29:3 (2022), 93–107
Citation in format AMSBIB
\Bibitem{Ysk22}
\by T.~K.~Yskak
\paper Stability of solutions to systems of nonlinear differential equations of neutral type with distributed delay
\jour Mathematical notes of NEFU
\yr 2022
\vol 29
\issue 3
\pages 93--107
\mathnet{http://mi.mathnet.ru/svfu362}
\crossref{https://doi.org/10.25587/SVFU.2022.50.52.008}
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