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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 11, Pages 50–62 (Mi ivm7150)  
This article is cited in 7 scientific papers (total in 7 papers)

Positiveness conditions for the Cauchy function for differential equations with distributed delay

T. L. Sabatulina

Chair of Computational Mathematics and Mechanics, Perm State Technical University, Perm, Russia
Full-text PDF (252 kB) Citations (7)
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Abstract: We obtain unimprovable sufficient conditions for the positivity of the Cauchy function for differential equation with distributed delay. Based on these conditions, we study some asymptotic properties of solutions of the Hutchinson–Wright equation, the Lasota–Wazevska equation, and the Nicholson equation.
Keywords: functional-differential equation, positivity of the Cauchy function, Hutchinson–Wright equation, Lasota–Wazevska equation, Nicholson equation.
Received: 02.04.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 11, Pages 44–55
DOI: https://doi.org/10.3103/S1066369X10110058
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: T. L. Sabatulina, “Positiveness conditions for the Cauchy function for differential equations with distributed delay”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 11, 50–62; Russian Math. (Iz. VUZ), 54:11 (2010), 44–55
Citation in format AMSBIB
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\by T.~L.~Sabatulina
\paper Positiveness conditions for the Cauchy function for differential equations with distributed delay
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 11
\pages 50--62
\mathnet{http://mi.mathnet.ru/ivm7150}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2814564}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
\vol 54
\issue 11
\pages 44--55
\crossref{https://doi.org/10.3103/S1066369X10110058}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649611201}
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    • This publication is cited in the following 7 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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