非齐次弦振动方程的形式级数解的收敛性

考虑非齐次波动方程初边值问题的形式级数解的收敛性问题.通过证明形式级数的一致收敛性和形式级数逐项求偏导数之后的一致收敛性，证明了非齐次波动方程初边值问题的古典解的存在唯一性和广义解的存在唯一性.

Convergence of Formal Series Solution to a Class of Non-Homogeneous String Vibration Equation

The convergence of the formal series solution to the initial boundary value problem for the non-homogeneous wave equation is considered.By proving the uniform convergence of the series formal series and the uniform convergence of the formal series after the partial derivative,the authors prove the existence and uniqueness of classical solution and the existence;and at the same time the authors prove the existence of the generalized solution to the initial boundary value problem for the non-homogeneous wave ...