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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2024, Volume 234, Pages 133–142
DOI: https://doi.org/10.36535/2782-4438-2024-234-133-142 (Mi into1301) 		 
Methods of research of some systems with linear delay

B. G. Grebenshchikov, S. A. Zagrebina

South Ural State University, Chelyabinsk
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DOI: https://doi.org/10.36535/2782-4438-2024-234-133-142
Abstract: In this paper, we discuss methods for obtaining sufficient conditions for systems of linear differential equations with linear delay of neutral type and methods for analyzing asymptotic properties of certain classes of systems of neutral type.
Keywords: functional differential equation, stability, Lyapunov–Krasovsky functionals, unstability, difference systems
Document Type: Article
UDC: 517.929
MSC: 34K06, 34K10, 34K13
Language: Russian
Citation: B. G. Grebenshchikov, S. A. Zagrebina, “Methods of research of some systems with linear delay”, Proceedings of the 5th International Conference "Dynamical Systems and Computer Science: Theory and Applications" (DYSC 2023). Irkutsk, September 18-23, 2023, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 234, VINITI, Moscow, 2024, 133–142
Citation in format AMSBIB
\Bibitem{GreZag24}
\by B.~G.~Grebenshchikov, S.~A.~Zagrebina
\paper Methods of research of some systems with linear delay
\inbook Proceedings of the 5th International Conference "Dynamical Systems and Computer Science: Theory and Applications"
(DYSC 2023). Irkutsk, September 18-23, 2023
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2024
\vol 234
\pages 133--142
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1301}
\crossref{https://doi.org/10.36535/2782-4438-2024-234-133-142}
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