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Lucchesi, M.; Pintucchi, B.; Zani, N.
Meccanica (Milan), 10/2022, Letnik: 57, Številka: 10Journal Article
The paper presents a method for determining the evolution of the cumulative distribution function of random processes which are encountered in the study of dynamic systems with some uncertainties in the characterizing parameters. It is proved that these distribution functions are the solution of a partial differential equation, whose coefficients can be determined once the dynamic system has been solved, and whose numerical solution can be obtained with the finite difference method. Two simple problems are solved here both explicitly and numerically, then the obtained results are compared with each other.
