叠加法在定解问题求解中的应用

Application of Addition Method in Solving the Fixed Solution Problems

叠加法是一种简单而普遍的数学方法,但它在求解定解问题中却起着极其重要的作用.从最一般的但也比较复杂的振动问题着手分析叠加法在定解问题求解中的作用.

The addition method is a simple and ordinary methematical method, yet it plays an important role in solving the definite solution problems. This paper initiates an analysis of the function of this method with the model of vibration problems which is the commonest and more complicated, which is not to be found in the previous literature, in the hope of giving any references to those students under study of equations of mathematical physics.