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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 4, Pages 81–88 (Mi ivm7292)  
This article is cited in 1 scientific paper (total in 1 paper)

Solution of $n$-phase $\mathbb R$-linear conjugation problem

T. V. Nikonenkova

Chair of Differential Equations, Kazan State University, Kazan, Russia
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Abstract: We consider the problem of the distribution of power fields of various physical nature in a piecewise homogeneous planar medium consisting of several homogeneous components separated by branches of confocal hyperbolas. We reduce this problem to the linear conjugation problem and solve the latter analytically.
Keywords: heterogeneous media, $\mathbb R$-linear conjugation problem, analytic functions.
Received: 09.10.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 4, Pages 67–73
DOI: https://doi.org/10.3103/S1066369X11040086
Bibliographic databases:
Document Type: Article
UDC: 517.544
Language: Russian
Citation: T. V. Nikonenkova, “Solution of $n$-phase $\mathbb R$-linear conjugation problem”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 4, 81–88; Russian Math. (Iz. VUZ), 55:4 (2011), 67–73
Citation in format AMSBIB
\Bibitem{Nik11}
\by T.~V.~Nikonenkova
\paper Solution of $n$-phase $\mathbb R$-linear conjugation problem
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 4
\pages 81--88
\mathnet{http://mi.mathnet.ru/ivm7292}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2919798}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 4
\pages 67--73
\crossref{https://doi.org/10.3103/S1066369X11040086}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79958717923}
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    • This publication is cited in the following 1 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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