一类混合型双曲抛物型方程初边值问题

Initial and Bouandary Value Problem of a Mixed Form Hyperparabolic Equantion

文章主要研究一类混合型双曲抛物型方程第一初边值问题解的存在性。应用的方法是:先对应齐次方程问题利用分离变量法求出特征函数,然后利用特征函数法求解原问题的形式解,最后利用级数的一致收敛性证明解的存在性。

In this paper, we study the existence of the solution of first initial and bouandary value problem of a mixed form hyperparabolic equantion. Firstly, we find the characteristic function of the homogeneous equation problem by separating variables. And then, we find the formal solution of the original problem by using the characteristic function. Lastly, we prove the existence of the solution by using the uniformly convergence of series.