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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Volume 261, Pages 268–275 (Mi tm755)  
This article is cited in 4 scientific papers (total in 4 papers)

$G$-Convergence of Systems of Generalized Beltrami Equations

M. M. Sirazhudinovab, R. M. Sirazhudinova

a Daghestan State University
b Daghestan Scientific Centre of the Russian Academy of Sciences
Full-text PDF (184 kB) Citations (4)
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Abstract: Many problems of mathematical physics lead to problems of $G$-convergence of differential operators and, in particular, to the problem of homogenization of partial differential operators. Similar problems arise in elasticity theory, electrodynamics, and other fields of physics and mechanics. In this paper, we consider the problem of $G$-convergence of systems of Beltrami operators. We prove that the class of such systems is $G$-compact and study the properties of $G$-convergence.
Received in February 2007
English version:
Proceedings of the Steklov Institute of Mathematics, 2008, Volume 261, Pages 262–269
DOI: https://doi.org/10.1134/S0081543808020211
Bibliographic databases:
UDC: 517.956.22
Language: Russian
Citation: M. M. Sirazhudinov, R. M. Sirazhudinov, “$G$-Convergence of Systems of Generalized Beltrami Equations”, Differential equations and dynamical systems, Collected papers, Trudy Mat. Inst. Steklova, 261, MAIK Nauka/Interperiodica, Moscow, 2008, 268–275; Proc. Steklov Inst. Math., 261 (2008), 262–269
Citation in format AMSBIB
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\paper $G$-Convergence of Systems of Generalized Beltrami Equations
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\pages 268--275
\publ MAIK Nauka/Interperiodica
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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