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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2023, Volume 225, Pages 28–37
DOI: https://doi.org/10.36535/0233-6723-2023-225-28-37 (Mi into1185) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Stability criteria for 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/10.36535/0233-6723-2023-225-28-37
Abstract: In this paper, we present criteria of stability in the Lyapunov sense for systems of ordinary differential equations based on transformations of difference schemes. The purpose of the transformations is to obtain the dependence of the magnitude of the perturbation of the solution at an arbitrary point in time on the perturbation of the initial data.
Keywords: Lyapunov stability, computer analysis of stability, numerical simulation of stability.
Document Type: Article
UDC: 519.6
MSC: 34D20
Language: Russian
Citation: S. G. Bulanov, “Stability criteria for systems of ordinary differential equations”, Differential Equations and Mathematical Physics, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 225, VINITI, Moscow, 2023, 28–37
Citation in format AMSBIB
\Bibitem{Bul23}
\by S.~G.~Bulanov
\paper Stability criteria for systems of ordinary differential equations
\inbook Differential Equations and Mathematical Physics
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2023
\vol 225
\pages 28--37
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1185}
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