变分问题中直接法在力学中应用

Application of Direct Method In Variation Question

一般情况下,是把变分问题化成微分方程的边值问题来处理。但是微分方程只在少数情况下才能够积分成为有限形式。在此意义下,把变分问题归结到边值问题,反而将问题复杂化了。因此,就产生了用另外的方法来求解这一问题的要求。

In the ordinary circumstances,it turns the variation question into the boundary value question of the differential equation problem to process. But the differential equation only can integral become the limited form in the minority situation. Under this significance, it sums up the variation question to the boundary value question, instead complicated question. Therefore, it produces the request to solve this question with other method.