【摘要】 １ＩｎｔｒｏｄｕｃｔｉｏｎＩｎｔｈｉｓｐａｐｅｒ，ｉｔｗｉｌｂｅｓｈｏｗｎｔｈａｔ，ｔｈｅｓｐａｃｅｇｅｎｅｒａｔｅｄｂｙａｌｇｅｎｅｒａｔｏｒｓｏｆｏｎｅｐａｒａｍｅｔｅｒＬｉｅｇｒｏｕｐｓａｄｍｉｔｅｄｂｙａｎｇｉｖｅｎｏｒｄｉｎａｒｙｄｉｆ...更多还原

【Abstract】 The Lie algebra, which is generated by all generators of one parameter Lie groups admitted locally by a given ordinary differential equation system, is proved to be of finite rank and with useful structure in the study of integrating the system. This result is more flexible than the traditional Lie group theory of ordinary differential equation.更多还原