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Sibirskii Zhurnal Industrial'noi Matematiki, 2014, Volume 17, Number 3, Pages 3–12 (Mi sjim841)  
This article is cited in 3 scientific papers (total in 3 papers)

The matrix-algebraic form of a solution to the system of linear ordinary differential equations with constant coefficients

A. A. Baloev

Kazan State Technical University, 10 Karl Marx st., 420111 Kazan
Full-text PDF (255 kB) Citations (3)
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Abstract: We propose a form for representing the general solution to a system of linear differential equations with constant coefficients which covers all possible versions of the general solutions corresponding to different multiplicities of the roots of the characteristic equation. The properties and some particular cases of this solution are studied.
Keywords: ordinary differential equation, multiple root.
Received: 14.04.2014
Bibliographic databases:
Document Type: Article
UDC: 517.91
Language: Russian
Citation: A. A. Baloev, “The matrix-algebraic form of a solution to the system of linear ordinary differential equations with constant coefficients”, Sib. Zh. Ind. Mat., 17:3 (2014), 3–12
Citation in format AMSBIB
\Bibitem{Bal14}
\by A.~A.~Baloev
\paper The matrix-algebraic form of a~solution to the system of linear ordinary differential equations with constant coefficients
\jour Sib. Zh. Ind. Mat.
\yr 2014
\vol 17
\issue 3
\pages 3--12
\mathnet{http://mi.mathnet.ru/sjim841}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3364401}
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  • https://www.mathnet.ru/eng/sjim/v17/i3/p3
    • This publication is cited in the following 3 articles:
    1. D. N. Barotov, “Ob odnom podkhode vyyavleniya periodicheskikh i ogranichennykh reshenii lineinykh dinamicheskikh sistem”, Izvestiya vysshikh uchebnykh zavedenii. Povolzhskii region. Fiziko-matematicheskie nauki, 2024, no. 2, 13–24  mathnet  crossref
    2. D. N. Barotov, R. N. Barotov, “Ob utochnenii metoda svedeniya sistemy lineinykh differentsialnykh uravnenii k odnomu uravneniyu vysshego poryadka, pozvolyayuschego naiti obschee reshenie iskhodnoi”, Vestnik KRAUNTs. Fiz.-mat. nauki, 43:2 (2023), 20–30  mathnet  crossref
    3. A. A. Baloev, “Universal form of solving the stationary linear difference equation”, Russian Math. (Iz. VUZ), 63:5 (2019), 1–12  mathnet  crossref  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
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    References:60
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