广义经典力学的变分方程和积分不变量

Variational Equations and Integral Invariant of Generalized Classical Mechnics

本文首先根据广义经典力学的正则方程，给出其变分方程；然后讨论变分方程的解，并利用第一积分求出了变分方程的特解；最后利用正则方程和变分方程证明，可由第一积分构造积分不变量．

The author at first gives the canonical equations and variational equations of generalized classical mechanics in this paper,and then discusses the solution of variational equations and obtains special solution using the first integral,finally proves that the integral invariant is constructed by the first integral in terms of canonical equtions and variational equations of generalized classical mechanics.