自共轭常微分方程边值问题与变分问题的等价性  

Variation Problemof Equivalence with Boundary Value Problem of Self Conjugate Ordinary Differential Equation

作　　者：夏必腊[1] 王金山[1] 

机构地区：[1]解放军炮兵学院数学教研室,合肥230031

出　　处：《大学数学》2011年第3期120-123,共4页College Mathematics

摘　　要：首先给出了自共轭常微分方程及其边值问题,进而证明了自共轭常微分方程边值问题等价于一个泛函变分的极值问题,最后指出了将自共轭常微分方程边值问题转换为等价的泛函变分极值问题的好处.This paper presents with boundary value problem of self conjugate ordinary differential Equation first,then proves that the Equation with boundary value problem and variation problem are equivalent,and finally gives the advantages of this kind of transformation.

关 键 词：共轭 常微分方程 边值问题 变分 极值 等价 

分 类 号：O175.8[理学—数学]