利用Laplace变换求解一维波动方程的定解问题

Using Laplace Transform to solve fixed solution problems of 1-d wave equation

利用Laplace变换的一些重要性质,可以方便地求解某些偏微分方程的定解问题。以一维波动方程的定解问题为实例给出具体求解过程,并且总结了利用Laplace变换求定解问题时方程所满足的条件。

By using some important properties of Laplace Transform,fixed solution problems of some partial differential equations can be solved easily.Examples on problem solving process of one-dimensional wave equations are listed here.Conditions needed for Fixed Solution Problem solving are concluded.