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The paper considers the propagation of explosive loads in an infinite viscoelastic cylinder. The problem is posed in cylindrical coordinate systems. Using the Nave equation and the physical equation, a system of six differential equations is obtained. After a simple transformation, we obtain a spectral boundary value problem for a system of ordinary and partial differential equations with complex coefficients, which is then solved by the method of straight lines and orthogonal Godunov run with a combination of matrix differential equations solved by the new Mark method.

VARIOUS ISSUES IN THE FIELD OF SETTING NONSTATIONARY DYNAMIC PROBLEMS AND ANALYZING THE WAVE STRESS STATE OF DEFORMABLE MEDIA.