Geodesic
About the boundary value problem of Dirichlet type in the classes of quasiharmonic functions in a circle
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 5 (2011), pp. 62-67

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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. 
@article{VYURM_2011_5_a8,
     author = {K. M. Rasulov},
     title = {About the boundary value problem of {Dirichlet} type in the classes of quasiharmonic functions in a circle},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
     pages = {62--67},
     publisher = {mathdoc},
     number = {5},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURM_2011_5_a8/}
}
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K. M. Rasulov. About the boundary value problem of Dirichlet type in the classes of quasiharmonic functions in a circle. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 5 (2011), pp. 62-67. http://geodesic.mathdoc.fr/item/VYURM_2011_5_a8/