求解微分方程的Hojman方法  

Hojman method for solving differential equations

作　　者：吴惠彬[1] 张永发[1] 梅凤翔[1] 

机构地区：[1]北京理工大学理学院,北京100081

出　　处：《物理学报》2006年第10期4987-4990,共4页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10572021);高等学校博士学科点专项科研基金(批准号:20040007022)资助的课题.~~

摘　　要：首先,将Hojman用于求解二阶微分方程组守恒量的方法推广并应用于一阶微分方程组,特别是奇数维微分方程组的积分问题.然后,证明Hojman定理是本文定理的特殊情形.最后,举例说明结果的应用.First, the method presented by Hojman for finding the conserved quantity of the system of second order differential equations is generalized and applied to the system of first order differential equations, particularly to the odd-dimensional system for finding the integral in this paper. Next, it is proved that the Hojman theorem is a special case of the theorem given in this paper. Finally, an example is given to illustrate the application of the result.

关 键 词：微分方程 Hojman定理 守恒量 积分 

分 类 号：O175[理学—数学]