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Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2024, Volume 9, Issue 4, Pages 609–621
DOI: https://doi.org/10.47475/2500-0101-2024-9-4-609-621 (Mi chfmj407) 		 
Mathematics

Stability of solutions to class of nonlinear systems of integro-differential delay equations

I. I. Matveevaab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
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DOI: https://doi.org/10.47475/2500-0101-2024-9-4-609-621
Abstract: We consider a class of nonlinear systems of nonautonomous differential equations with time-varying concentrated and distributed delays that can be unbounded. Using a special Lyapunov — Krasovskii functional, conditions for exponential stability of the zero solution are obtained. We establish estimates for attraction sets and estimates characterizing stabilization rates of solutions at infinity.
Keywords: time-varying delay systems, estimates for solutions, exponential stability, attraction sets, Lyapunov — Krasovskii functional.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0008
The study was carried out within the framework of the state contract of the Sobolev Institute of Mathematics (project no. FWNF-2022-0008).
Received: 25.07.2024
Revised: 15.09.2024
Document Type: Article
UDC: 517.926.4
Language: Russian
Citation: I. I. Matveeva, “Stability of solutions to class of nonlinear systems of integro-differential delay equations”, Chelyab. Fiz.-Mat. Zh., 9:4 (2024), 609–621
Citation in format AMSBIB
\Bibitem{Mat24}
\by I.~I.~Matveeva
\paper Stability of solutions to class of nonlinear systems of integro-differential delay equations
\jour Chelyab. Fiz.-Mat. Zh.
\yr 2024
\vol 9
\issue 4
\pages 609--621
\mathnet{http://mi.mathnet.ru/chfmj407}
\crossref{https://doi.org/10.47475/2500-0101-2024-9-4-609-621}
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