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Mathematical notes of NEFU, 2022, Volume 29, Issue 3, Pages 70–79
DOI: https://doi.org/10.25587/SVFU.2022.48.62.006 (Mi svfu360) 		 
Mathematics

Estimates for solutions to one class of nonautonomous systems with time-varying concentrated and distributed delays

I. I. Matveeva

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (231 kB)
DOI: https://doi.org/10.25587/SVFU.2022.48.62.006
URL: https://mzsvfu.ru/index.php/mz/article/view/408
Abstract: We consider a class of nonautonomous systems of differential equations with time-varying concentrated and distributed delays than can be unbounded. Using a Lyapunov-Krasovskii functional, some estimates of solutions are established. The obtained estimates allow us to conclude whether the solutions are stable.
Keywords: time-varying delay systems, variable coefficients, estimates for solutions, stability, 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: 15.08.2022
Accepted: 31.08.2022
Document Type: Article
UDC: 517.929.4
Language: Russian
Citation: I. I. Matveeva, “Estimates for solutions to one class of nonautonomous systems with time-varying concentrated and distributed delays”, Mathematical notes of NEFU, 29:3 (2022), 70–79
Citation in format AMSBIB
\Bibitem{Mat22}
\by I.~I.~Matveeva
\paper Estimates for solutions to one class of nonautonomous systems with time-varying concentrated and distributed delays
\jour Mathematical notes of NEFU
\yr 2022
\vol 29
\issue 3
\pages 70--79
\mathnet{http://mi.mathnet.ru/svfu360}
\crossref{https://doi.org/10.25587/SVFU.2022.48.62.006}
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