Lie Symmetries and Conserved Quantities of Nonholonomic Systems of Variable Mass of Non-chetaev's Type with Unilateral Constraints in Phase Space

This paper studies Lie symmetries and conserved quantities of nonholonomic systems of variable mass of nonchetaev's type with unilateral constraints in phase space.Firstly,it establishes the determining equations and the restriction equations of the Lie symmetries of the systems and it gives the structure equations and the conserved euantities,which are using the invariance of the ordinary differential equations under the infinitesimal transformations;Secondly,it studies the inverse problem of Lie symmetries of the systems;Finally,it gives an example to illustrate the application of the result.