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Daghestan Electronic Mathematical Reports, 2014, Issue 1, Pages 79–83
DOI: https://doi.org/10.31029/demr.1.4
(Mi demr6)
 

Asymptotic expansions for the system of Beltrami equations

M. M. Sirazhudinovab, S. E. Pastukhovac, S. P. Dgamaludinovaad

a Daghestan State University, Makhachkala
b Daghestan Scientific Centre of Russian Academy of Sciences, Makhachkala
c Moscow Institute of Radio-Engineering, Electronics and Automation
d Daghestan State Univercity of National Economy
References:
Abstract: This paper presents estimates for the difference between the exact solution of the Riemann-Hilbert problem for the Beltrami equations with periodic coefficient, which depends on small parameter, and its approximation. For the first time to the issues of homogenization of the Beltrami equations asymptotic expansion method is involved.
Keywords: Beltrami equation, homogenization, method of asymptotic expansions.
Received: 27.10.2013
Revised: 29.05.2014
Accepted: 30.05.2014
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: M. M. Sirazhudinov, S. E. Pastukhova, S. P. Dgamaludinova, “Asymptotic expansions for the system of Beltrami equations”, Daghestan Electronic Mathematical Reports, 2014, no. 1, 79–83
Citation in format AMSBIB
\Bibitem{SirPasDzh14}
\by M.~M.~Sirazhudinov, S.~E.~Pastukhova, S.~P.~Dgamaludinova
\paper Asymptotic expansions for the system of Beltrami equations
\jour Daghestan Electronic Mathematical Reports
\yr 2014
\issue 1
\pages 79--83
\mathnet{http://mi.mathnet.ru/demr6}
\crossref{https://doi.org/10.31029/demr.1.4}
\elib{https://elibrary.ru/item.asp?id=27311195}
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