相空间中单面非Chataev型非完整系统的Lie对称性与守恒量

研究相空间中单面非Ｃｈｅｔａｅｖ型非完整系统的Ｌｉｅ对称性与守恒量．首先根据微分方程在无限小变换下的不变性建立Ｌｉｅ对称性所满足的确定方程和限制方程，给出结构方程和守恒量；其次讨论系统的Ｌｉｅ对称性逆问题；最后举一实例说明结果的应用．

Lie Symmetries and Conserved Quantities of Nonholonomic Systems of Non-Chetaev's Type with Unilateral Constraints in phase Space

This paper studies Lie symmetries and conserved quantities of nonholonomic systems 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.