Abstract:
The questions of the influence of random forces on oscillatory processes in systems described by differential equations
containing both links with lumped parameters and links with distributed parameters and delay, connected by delay connections,
are investigated. The step-by-step application of the averaging method of nonlinear mechanics and the method of Fokker – Planck – Kolmogorov equations to the study of such systems is described.
Keywords:stochastic differential equations, delay, stochastic partial differential equations, units with lumped parameters, units
with distributed parameters, averaging method of nonlinear mechanics, method of Fokker – Planck – Kolmogorov equations.
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