In this paper, we provide the rate of convergence for approximation of an eigenvalue problem describing vibrations of axisymmetric revolution elastic shells. The eigenvalue problem approximation is constructed by the method of finite elements. We study a system of differential equations with variable coefficients, some of which are non-integrable improperly near 0. To this aim, certain special weighted spaces are used, which were introduced earlier by the author.

中文翻译：

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关于描述轴对称旋转弹性壳振动的特征值问题的近似收敛速度

在本文中，我们为描述轴对称旋转弹性壳的振动的特征值问题提供了近似的收敛速度。特征值问题近似是通过有限元方法构造的。我们研究了一个具有可变系数的微分方程组，其中一些在0附近是不可积分的。为此，作者使用了一些特殊的加权空间，这些空间已在作者的前面介绍过。