摘要
本文研究了变分学中的逆问题。通过变积概念的引入，给出了系统地研究变分学中逆问题的一种新途径。将这种方法应用于线弹性动力学和粘性流体力学中，建立了各自的变分原理和广义变分原理。
The inverse problem in calculus of variations is studied,By introducing a new concept called variational integral.a new method to systematically study the inverse problem in calculus of variations is given.Using this new method to the elastodynamics and hydrodynamics of visous fluids,we obtained several kinds of variational principles and generalized variational principles,respectively.
出处
《应用数学和力学》
EI
CSCD
北大核心
1994年第9期775-788,共14页
Applied Mathematics and Mechanics
关键词
变分原理
变积
逆问题
变分学
variational principle,variational integral,inverse problem
