Geodesic
On an extremal problem
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 3 (2012), pp. 22-30

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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, necessary condition, boundary functions, differential equations.
Mots-clés : variation formulas 
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     author = {V. A. Pchelintsev},
     title = {On an extremal problem},
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     pages = {22--30},
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     year = {2012},
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     url = {http://geodesic.mathdoc.fr/item/VTGU_2012_3_a2/}
}
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V. A. Pchelintsev. On an extremal problem. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 3 (2012), pp. 22-30. http://geodesic.mathdoc.fr/item/VTGU_2012_3_a2/