研究完整系统Appell方程Mei对称性的结构方程和Mei守恒量.建立完整系统的Appell方程和系统的运动微分方程;在群的无限小变换下,给出完整系统Appell方程Mei对称性的定义和判据;得到用Appell函数表示的完整系统Appell方程Mei对称性的结构方程和Mei守恒量的表达式.举例说明结果的应用.
Structural equation and Mei conserved quantity of Mei symmetry for Appell equations in holonomic systems are investigated. Appell equations and differential equations of motion for holonomie mechanic systems are established. The definition and the criterion of Mei symmetry for Appell equations under the infinitesimal transformations of groups are also given. The expressions of the structural equation and Mei conserved quantity of Mei symmetry for Appell equations in holonomic systems expressed by Appell functions are obtained. An example is given to illustrate the application of the results.