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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 9, Pages 38–44 (Mi ivm8826)  

This article is cited in 2 scientific papers (total in 2 papers)

On factorization of the characteristic quasipolynomial of a system of linear differential equations with delay

M. V. Mulyukov

Chair of Computational Mathematics and Mechanics, State National Reserach Polytechnical University of Perm, 29 Komsomol'skii Ave., Perm, 614000 Russia
Full-text PDF (193 kB) Citations (2)
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Abstract: We establish a factorization criterion for the characteristic quasipolynomial of a system of two linear autonomous differential equations with delay. On the base of this criterion we obtain several criteria of the asymptotic stability.
Keywords: system with delay, factorization of quasipolynomial, asymptotic stability.
Received: 13.06.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, Volume 57, Issue 9, Pages 31–36
DOI: https://doi.org/10.3103/S1066369X13090053
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: M. V. Mulyukov, “On factorization of the characteristic quasipolynomial of a system of linear differential equations with delay”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 9, 38–44; Russian Math. (Iz. VUZ), 57:9 (2013), 31–36
Citation in format AMSBIB
\Bibitem{Mul13}
\by M.~V.~Mulyukov
\paper On factorization of the characteristic quasipolynomial of a~system of linear differential equations with delay
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2013
\issue 9
\pages 38--44
\mathnet{http://mi.mathnet.ru/ivm8826}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 57
\issue 9
\pages 31--36
\crossref{https://doi.org/10.3103/S1066369X13090053}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84894195356}
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Abstract page:377
    Full-text PDF :117
    References:80
    First page:3
     
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