摘要
先讨论依赖多个函数的泛函的变分问题 ,然后进一步讨论含多个自变量多个函数的高阶偏导函数的泛函的变分问题 ,给出其奥氏方程组 ,最后对极值的充分条件进行了讨论 .
This paper discusses the variational problem of the functional depending on more one function,the variational problem of functional having more than one variable and more than one function's partial derivatives of higher order,presents it's Ostrogradskii equations,and finally gives sufficient discussion on the existence of the functional extreme value.Examples are given to lillustrate the theory.
出处
《沈阳建筑工程学院学报》
2001年第2期150-152,共3页
Journal of Shenyang Archit Civil Eng Univ: Nat Sci
关键词
高阶偏导数
泛函
极值问题
奥氏方程组
high order partial derivatives
function
extreme value problem
Ostrogradskii equation
