一类变分问题与偏微分方程边值问题的等价性

Equivalence Between a Class of Variation Problems and Partial Differential Equation Boundary Value Problems

通过分析的方法,研究了一类变分问题与一类偏微分方程的边值问题在直角坐标系和柱坐标系下的等价性问题,为一类变分问题的求解提供了一种有效的方法.

In this paper, we study equivalence between a class of variation problems and partial differen- tial equation boundary value problems in rectangular Cartesian coordinates system and cylindrical coordi- nates system, which provides a efficient method for a class of variation problems.