The Effect of the Non-Homogeneity of the Stress State and Initial Imperfections on the Stability of Cylindrical Shells (Vliyanie Neodnorodnosti Napryazhennogo Sostoyaniya i Nachalmykh Nepravilnostei na Ustoichivost Tsilindricheskoi Obolochki),
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The problems considered in the report involve the calculation of the minimum eigenvalue of a system of linear differential equations with variable coefficients. Precise solution of this problem is impossible in most cases therefore, different approximation methods are commonly used, which usually reduce the initial problem to calculation of the minimum eigenvalue of an infinite matrix.