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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, Number 3, Pages 63–74 (Mi ivm8983)  

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

A system of singularly perturbed equations with differential turning point of the 1st kind

I. A. Zelenskaya

Computer Laboratory, Kirovograd State Pedagogical University, 1 Shevchenko str., Kirovograd, 25006 Ukraine
Full-text PDF (223 kB) Citations (2)
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Abstract: For a system of differential equations with small parameter at the higher derivative and turning point we construct uniform asymptotics of the solution. We consider the case when the spectrum of the boundary operator contains multiple elements and elements that identically equal zero.
Keywords: linear system, small parameter, turning point, Airy operator.
Received: 03.09.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2015, Volume 59, Issue 3, Pages 55–65
DOI: https://doi.org/10.3103/S1066369X15030068
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: I. A. Zelenskaya, “A system of singularly perturbed equations with differential turning point of the 1st kind”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 3, 63–74; Russian Math. (Iz. VUZ), 59:3 (2015), 55–65
Citation in format AMSBIB
\Bibitem{Zel15}
\by I.~A.~Zelenskaya
\paper A system of singularly perturbed equations with differential turning point of the 1st kind
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2015
\issue 3
\pages 63--74
\mathnet{http://mi.mathnet.ru/ivm8983}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2015
\vol 59
\issue 3
\pages 55--65
\crossref{https://doi.org/10.3103/S1066369X15030068}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928892198}
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  • This publication is cited in the following 2 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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