Lie Symmetries and Conserved Quantities of Holonomic Systems of Variable Mass with Unilateral Constraints

This paper studies Lie symmetries and conserved quantities of holonomic systems of variable mass with unilateral constraints. Firstly,it establishes the determining equations and the restriction equations of the Lie symmetries of the systems and it gives the structure equation and the conserved quantities,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.