Title | Stochastic longitudinal oscillations viscoelastic rope with moving boundaries, taking into account damping forces |
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Authors | V. L. Litvinov^{1, 2}, K. V. Litvinova^{1, 2}^{1}Samara State Technical University ^{2}Moscow State University |

Annotation | Stochastic longitudinal oscillations of a viscoelastic rope with moving boundaries are considered, taking into account damping forces. The initial conditions and the external load are assumed to be random. To find the characteristics of random variables of stochastic oscillations, it is necessary to obtain statistical estimates for the solution of a system of random integro-differential equations. The statistical Monte Carlo method is used to estimate the expansion coefficients. |

Keywords | mathematical model, vibrations of a rope, stochastic oscillations, moving boundaries |

Citation | Litvinov V. L., Litvinova K. V. ''Stochastic longitudinal oscillations viscoelastic rope with moving boundaries, taking into account damping forces'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, July 14-18, 2022). Saransk: SVMO Publ, 2022. - pp. 231-235. Available at: https://conf.svmo.ru/files/2022/papers/paper37.pdf. - Date of access: 02.12.2023. |

**© SVMO, National Research Mordovia State University, 2023**

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