Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika"
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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika", 2011, Issue 5, Pages 62–67 (Mi vyurm240)  
Mathematics

About the boundary value problem of Dirichlet type in the classes of quasiharmonic functions in a circle

K. M. Rasulov

Smolensk State University
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Abstract: In this article the modified boundary value problem of the Dirichlet type in classes of quasiharmonic functions is considered. Solvability conditions and constructive algorithms for solving the classical Dirichlet boundary value problem in the classes of quasi-harmonic functions of the genus 2 are obtained. The boundary conditions are on the unit circle.
Keywords: boundary value problem, modified Dirichlet boundary value problem, quasi-harmonic functions, differential equations, unit circle.
Received: 27.05.2011
Document Type: Article
UDC: 517.968.23
Language: Russian
Citation: K. M. Rasulov, “About the boundary value problem of Dirichlet type in the classes of quasiharmonic functions in a circle”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2011, no. 5, 62–67
Citation in format AMSBIB
\Bibitem{Ras11}
\by K.~M.~Rasulov
\paper About the boundary value problem of Dirichlet type in the classes of quasiharmonic functions in a circle
\jour Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.
\yr 2011
\issue 5
\pages 62--67
\mathnet{http://mi.mathnet.ru/vyurm240}
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