常微分方程组积分因子存在的充要条件  

The Sufficient and Necessary Condition for the Existence of Integrating Factors of Ordinary Differential Equations Systems

作　　者：李方方[1] 胡彦霞[1] 

机构地区：[1]华北电力大学数理学院,北京102206

出　　处：《大学数学》2012年第5期110-113,共4页College Mathematics

基　　金：中央高校基本科研业务费专项资金(12MS87)

摘　　要：给出并证明了自治和非自治常微分方程组积分因子存在的充要条件,从而给出当常微分方程组的向量场散度不为零时的构造积分因子的方法.The sufficient and necessary condition for the existence of integrating factors of ordinary differential equations system is shown. Thereby, a method for constructing integrating factors of ordinary differential equations system which the divergence of the vector field is not nought is presented.

关 键 词：常微分方程组 积分因子 充要条件 

分 类 号：O175.14[理学—数学]