This article is cited in 3 papers

Operator estimation of homogenizstion for generalized Beltrami equations

M. M. Sirazhudinov<sup>abc

a</sup> Daghestan State University, Makhachkala
^b Daghestan Scientific Centre of Russian Academy of Sciences, Makhachkala
^c Daghestan State Institute of National Economy

Abstract: Operator estimates for homogenization of the Riemann-Hilbert problem for the generalized Beltrami equation with rapidly oscillating $\varepsilon$-periodic coefficients are considered. Asymptotic methods of homogenization are used.

Keywords: Beltrami equation, homogenization, method of asimptotic expansions.

UDC: 517.946

Received: 17.02.2017
Revised: 04.04.2017
Accepted: 06.04.2018

DOI: 10.31029/demr.7.4