Noether's theorem of nonholonomic systems of non-Chetaev's type with unilateral constraints

In this paper, we present Noether's theorem and its inverse theorem for non holonomic systems of non-Chetaev's type with unilateral constraints. We pre sent first the principle of Jourdain for the system and, on the basis of th e invariance of the differential variational principle under the infinitesi mal transformations of groups, we have established Noether's theory for the above systems. An example is given to illustrate the application of the re sult.