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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2024, Volume 64, Number 8, Pages 1486–1499
DOI: https://doi.org/10.31857/S0044466924080139 (Mi zvmmf11816) 		 
Partial Differential Equations

Estimates of solutions for a class of nonautonomous systems of neutral type with concentrated and distributed delays

I. I. Matveeva

Novosibirsk State University, 630090, Novosibirsk, Russia
DOI: https://doi.org/10.31857/S0044466924080139
Abstract: A class of systems of nonautonomous differential equations of neutral type with concentrated and distributed delays is considered. By using a Lyapunov–Krasovskii functional, estimates are established that imply whether the solutions are stable. In the case of exponential stability, estimates for the stabilization rate of the solutions at infinity are given.
Key words: systems of neutral type, variable coefficients, estimates of solutions, stability, Lyapunov–Krasovskii functional.
Funding agency Grant number
Russian Science Foundation 24-21-00367
This work was supported by the Russian Science Foundation, project no. 24-21-00367, https://rscf.ru/en/project/24-21-00367/.
Received: 02.04.2024
Revised: 02.04.2024
Accepted: 02.05.2024
English version:
Computational Mathematics and Mathematical Physics, 2024, Volume 64, Issue 8, Pages 1796–1808
DOI: https://doi.org/10.1134/S0965542524700933
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: I. I. Matveeva, “Estimates of solutions for a class of nonautonomous systems of neutral type with concentrated and distributed delays”, Zh. Vychisl. Mat. Mat. Fiz., 64:8 (2024), 1486–1499; Comput. Math. Math. Phys., 64:8 (2024), 1796–1808
Citation in format AMSBIB
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\by I.~I.~Matveeva
\paper Estimates of solutions for a class of nonautonomous systems of neutral type with concentrated and distributed delays
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2024
\vol 64
\issue 8
\pages 1486--1499
\mathnet{http://mi.mathnet.ru/zvmmf11816}
\crossref{https://doi.org/10.31857/S0044466924080139}
\elib{https://elibrary.ru/item.asp?id=75224111}
\transl
\jour Comput. Math. Math. Phys.
\yr 2024
\vol 64
\issue 8
\pages 1796--1808
\crossref{https://doi.org/10.1134/S0965542524700933}
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