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, 2023, Volume 229, Pages 22–32
DOI: https://doi.org/10.36535/0233-6723-2023-229-22-32 (Mi into1232) 		 
Necessary and sufficient conditions for the stability of systems of ordinary differential equations

S. G. Bulanovab

a A.P. Chekhov Taganrog Institute (branch) of Rostov State Economical University
b Rostov State University of Economics
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DOI: https://doi.org/10.36535/0233-6723-2023-229-22-32
Abstract: In this paper, we develop an approach to the analysis of the Lyapunov stability for systems of ordinary differential equations based on stability conditions in the multiplicative form. Under additional restrictions, various versions of stability conditions are obtained based on the behavior of the right-hand side of the system.
Keywords: Lyapunov stability, computer analysis of stability, numerical modeling of stability
Document Type: Article
UDC: 519.6
MSC: 34D20
Language: Russian
Citation: S. G. Bulanov, “Necessary and sufficient conditions for the stability of systems of ordinary differential equations”, Proceedings of the Voronezh international winter mathematical school "Modern methods of function theory and related problems", Voronezh, January 27 - February 1, 2023, Part 3, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 229, VINITI, Moscow, 2023, 22–32
Citation in format AMSBIB
\Bibitem{Bul23}
\by S.~G.~Bulanov
\paper Necessary and sufficient conditions for the stability of systems of ordinary differential equations
\inbook Proceedings of the Voronezh international winter mathematical school "Modern methods of function theory and related problems", Voronezh, January 27 - February 1, 2023, Part 3
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2023
\vol 229
\pages 22--32
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1232}
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