一类双曲方程解的存在唯一性

The Existence and Uniqueness of Solutions on a Class of Hyperbolic Differmtial Equations

对在等离子体和一维波动方程中出现的具有初始分布数据的一类双曲微分方程正问题，将其化成第二类Ｖｏｌｔｅｒｒａ积分方程后，用压缩映像原理给出了解的存在唯一性．

By using contraction maps principle on class of hyperbolic differential equations positive problem in plasma and one-dimensional wave equation, it is transferred to the second kind volterra integral equation and gives the existence and uniqueness of the solutions.