二阶非自治系统首次积分的一种构造方法

A Method of Constructing First Integrals of Second Order Non Autonomous Systems

给出了由二阶非自治系统所接受的两个相互独立的非平凡李群的无穷小生成元构造系统的两个函数独立的首次积分的方法．该方法不需进行坐标变换，且不要求无穷小生成元构成可解李代数．

A method of constructing two independent first integrals of a second order non autonomous system which admits two Lie groups is presented.Neither the coordinate transformation nor the solvable Lie algebra is needed in the way.