研究奇异Lagrange系统在无限小变换下微分方程的共形不变性,提出了该系统共形不变性的概念,推导出奇异Lagrange系统微分方程具有共形不变性,同时又是Lie对称性的充分必要条件.举例说明结果的应用.
The conformal invariance of the singular Lagrange system is studied.The necessary and sufficient conditions of conformal invariance and Lie symmetry simultaneously by the action of infinitesimal transformations are given.An example is given to illustrate the application of the results.