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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, Number 8, Pages 73–77 (Mi ivm1682)  
This article is cited in 10 scientific papers (total in 10 papers)

Brief communications

Sign-definiteness of solutions and stability of linear differential equations with variable distributed delay

V. V. Malygina, T. L. Sabatulina

Perm State Technical University
Full-text PDF (170 kB) Citations (10)
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Abstract: We study one class of linear differential equations with varying distributed delay. We obtain an effective (in terms of parameters of the initial problem) criterion for the positiveness of the Cauchy function of this class of equations. On the base of this result we establish effective criteria for the exponential stability of equations under consideration.
Keywords: equations with delay, nonoscillation, exponential stability, Cauchy function.
Received: 26.03.2007
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2008, Volume 52, Issue 8, Pages 61–64
DOI: https://doi.org/10.3103/S1066369X08080082
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: V. V. Malygina, T. L. Sabatulina, “Sign-definiteness of solutions and stability of linear differential equations with variable distributed delay”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 8, 73–77; Russian Math. (Iz. VUZ), 52:8 (2008), 61–64
Citation in format AMSBIB
\Bibitem{MalSab08}
\by V.~V.~Malygina, T.~L.~Sabatulina
\paper Sign-definiteness of solutions and stability of linear differential equations with variable distributed delay
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2008
\issue 8
\pages 73--77
\mathnet{http://mi.mathnet.ru/ivm1682}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2468317}
\zmath{https://zbmath.org/?q=an:1180.34066}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2008
\vol 52
\issue 8
\pages 61--64
\crossref{https://doi.org/10.3103/S1066369X08080082}
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    • This publication is cited in the following 10 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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