具输入输出的非线性波动方程解的整体存在

Global Existence of Solutions for a Nonlinear String with Input and Output

文章研究带非线性源项和边界输入输出的弦振动方程的解的性质.我们证明当非线性函数σ和输入输出函数满足适当条件时,系统的解能够整体存在.

The property of a nonlinear string equation is studied. The string equation is with nonlinear source and input-output structure. It is proved that under some conditions on non-linear function σand input-output functions, the solution of the system global exists on time.