Gauss white noise perturbations of nonholonomic mechanical systems (Q1310547)

The perturbations of nonholonomic mechanical systems under the Gauss white noises are studied. It is proved that the differential equations of the first-order moments of the solution process coincide with the corresponding equations in the non-perturbed case, and that there are \(\varepsilon^ 2\)-terms but no \(\varepsilon\)-terms in the differential equations of the second-order moments. An example is given to illustrate the application of the results.