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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, Number 7, Pages 19–28 (Mi ivm1634)  

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

On the exact boundaries of the stability domain of linear differential equations with distributed delay

V. V. Malygina

Perm State Technical University
Full-text PDF (208 kB) Citations (2)
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Abstract: For a differential equation with a distributed varying delay, sufficient criterions of asymptotic and uniform stability of solutions are obtained. The constructed examples demonstrate exactness of the boundary of the obtained stability domain.
Keywords: functional differential equations, distributed delay, stability.
Received: 27.03.2006
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2008, Volume 52, Issue 7, Pages 15–23
DOI: https://doi.org/10.3103/S1066369X08070037
Bibliographic databases:
UDC: 517.929
Language: Russian
Citation: V. V. Malygina, “On the exact boundaries of the stability domain of linear differential equations with distributed delay”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 7, 19–28; Russian Math. (Iz. VUZ), 52:7 (2008), 15–23
Citation in format AMSBIB
\Bibitem{Mal08}
\by V.~V.~Malygina
\paper On the exact boundaries of the stability domain of linear differential equations with distributed delay
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2008
\issue 7
\pages 19--28
\mathnet{http://mi.mathnet.ru/ivm1634}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2467442}
\zmath{https://zbmath.org/?q=an:1189.39025|1181.34073}
\elib{https://elibrary.ru/item.asp?id=11018372}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2008
\vol 52
\issue 7
\pages 15--23
\crossref{https://doi.org/10.3103/S1066369X08070037}
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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