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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2012, Number 3(19), Pages 22–30 (Mi vtgu263)  
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

On an extremal problem

V. A. Pchelintsev

Tomsk State University
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Abstract: The paper consider the problem about a range $\Delta$ of some functional on a class of pairs functions univalent and meromorphic in a “circle–exterior of the circle” system. By means of the Goluzin variation method, it is possible to obtain a system of differential equations for boundary functions, and to find the equation of the boundary of range $\Delta$.
Keywords: class $\mathfrak M'$, functional, method of internal variations, variation formulas, necessary condition, boundary functions, differential equations.
Received: 02.07.2012
Document Type: Article
UDC: 517.54
Language: Russian
Citation: V. A. Pchelintsev, “On an extremal problem”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2012, no. 3(19), 22–30
Citation in format AMSBIB
\Bibitem{Pch12}
\by V.~A.~Pchelintsev
\paper On an extremal problem
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2012
\issue 3(19)
\pages 22--30
\mathnet{http://mi.mathnet.ru/vtgu263}
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  • https://www.mathnet.ru/eng/vtgu/y2012/i3/p22
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Томского государственного университета. Математика и механика
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