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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 7, Pages 3–15 (Mi ivm8806)  
This article is cited in 6 scientific papers (total in 6 papers)

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

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 (230 kB) Citations (6)
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Abstract: We consider a class of scalar linear differential equations with several variable delays and constant coefficients. A family of equations of the class is defined by coefficients and maximum addmissible values of delays. We investigate domains in the parameter space, whose points correspond to families of equations that possess certain properties, which are uniform and exponential stabilities of solutions, and the property of the fundamental solution of an equation to have fixed sign. Necessary and sufficient conditions for a family of equations to have these properties are obtained in the explicit form.
Keywords: functional differential equation, varying delay, several delays, fixed sign, stability, fundamental solution.
Received: 27.03.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, Volume 57, Issue 7, Pages 1–12
DOI: https://doi.org/10.3103/S1066369X13070013
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. II”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 7, 3–15; Russian Math. (Iz. VUZ), 57:7 (2013), 1–12
Citation in format AMSBIB
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\by V.~V.~Malygina, K.~M.~Chudinov
\paper Stability of solutions to differential equations with several variable delays.~II
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2013
\issue 7
\pages 3--15
\mathnet{http://mi.mathnet.ru/ivm8806}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 57
\issue 7
\pages 1--12
\crossref{https://doi.org/10.3103/S1066369X13070013}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84879739149}
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    This publication is cited in the following 6 articles:
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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