Geodesic
On a~functional on the class of pairs of functions
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2013), pp. 44-56

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The problem about the range $\Delta$ of the functional $\Phi$ is solved by the method of internal variations on the class of pairs of functions univalent in the “disk–exterior of the disk” system. We have obtained a system of functional-differential equations for pairs of functions $(f(z),F(\zeta))\in\mathfrak M'$ that are in correspondence with nonsingular boundary points $\Phi_0$ of the set $\Delta$. Each equation from the system contains a parameter which is a root of an algebraic equation of the sixth degree.
Keywords: class $\mathfrak M'$, functional, range, boundary functions, differential equations. 
@article{VTGU_2013_2_a4,
     author = {V. A. Pchelintsev},
     title = {On a~functional on the class of pairs of functions},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {44--56},
     publisher = {mathdoc},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2013_2_a4/}
}
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V. A. Pchelintsev. On a~functional on the class of pairs of functions. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2013), pp. 44-56. http://geodesic.mathdoc.fr/item/VTGU_2013_2_a4/