Panasenko, G. P.; Reztsov, M. V. Asymptotic expansion for the solution of a system of equations of elasticity in a nonhomogeneous thin layer. (Russian) Zbl 0725.73008 Vychisl. Prikl. Mat., Kiev 69, 63-68 (1989). The asymptotic expansion for the solution of the three-dimensional problem of elasticity in a nonhomogeneous thin layer is represented as thickness of the plate and size of nonhomogeneities tend to zero. By using the method of averaging of differential equations with rapidly oscillating coefficients the explicit error estimates for asymptotic approximation in \(W^ 1_ 2\)-norm are obtained. Reviewer: O.Titow (Berlin) Cited in 1 Review MSC: 74E05 Inhomogeneity in solid mechanics 34E05 Asymptotic expansions of solutions to ordinary differential equations 34C29 Averaging method for ordinary differential equations Keywords:error estimates PDFBibTeX XMLCite \textit{G. P. Panasenko} and \textit{M. V. Reztsov}, Vychisl. Prikl. Mat. 69, 63--68 (1989; Zbl 0725.73008)