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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 8, Pages 44–56 (Mi ivm8817)  
This article is cited in 8 scientific papers (total in 8 papers)

Stability of solutions to differential equations with several variable delays. III

V. V. Malygina, K. M. Chudinov

Chair of Computational Mathematics and Mechanics, Perm National Research Polytechnic University, 29 Komsomol'skii Ave., Perm, 614990 Russia
Full-text PDF (274 kB) Citations (8)
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Abstract: We consider a class of scalar linear differential equations with several variable delays and constant coefficients. We treat the coefficients and maximum admissible values of delays as parameters that define a family of equations of the considered class. Using the necessary and sufficient stability conditions established in preceding papers, we obtain an analytic form and a geometric interpretation of boundaries of stability domains for families of equations with a small number of independent parameters.
Keywords: functional differential equation, variable delay, stability.
Received: 27.03.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, Volume 57, Issue 8, Pages 37–48
DOI: https://doi.org/10.3103/S1066369X13080057
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: V. V. Malygina, K. M. Chudinov, “Stability of solutions to differential equations with several variable delays. III”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 8, 44–56; Russian Math. (Iz. VUZ), 57:8 (2013), 37–48
Citation in format AMSBIB
\Bibitem{MalChu13}
\by V.~V.~Malygina, K.~M.~Chudinov
\paper Stability of solutions to differential equations with several variable delays.~III
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2013
\issue 8
\pages 44--56
\mathnet{http://mi.mathnet.ru/ivm8817}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 57
\issue 8
\pages 37--48
\crossref{https://doi.org/10.3103/S1066369X13080057}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84881321742}
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  • https://www.mathnet.ru/eng/ivm/y2013/i8/p44
    Cycle of papers
    This publication is cited in the following 8 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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    References:36
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