In this paper, an explicit expression of the mechanical conductivity of the system is obtained. The relation between the mechanical conductivity and the pulse transition function described by the integro-differential equation (IDE) is given. An explicit semi-analytical solution of the problem of random fluctuations of inherently deformable systems caused by random external perturbations and initial conditions is obtained, which allows us to determine: the mathematical expectation and moments of the output process, correlation functions and spectral densities.

Topics
Integro-differential equation
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