论双曲型方程初—边值问题和初值问题解法的统一性

作者探索把双曲型方程初—边值问题中的初始函数在相应的本征函数族下展开成为Ｆｏｕｒｉｅｒ级数，把初始函数延拓到整个空间，把初—边值问题转化成为初值问题，从而使这两类不同的定解问题的解法统一起来．

On Unity of the Solution about Initial Boundary Value Problem and Initial Value Problem for Hyperbolic Equations

The writer trys to expand initial function among initial boundary value problems for hyperbolic equations to a Fourier series under relevant eigenfunction system and reduce the solving of the initial boundary value problems to the solving of the initial value problems by the continuation of the initial function outside the given interval, thus integrating the two different methods of soluing problems.