非严格双曲型Kirchhoff方程

ON NONSTRICTLY HYPERBOLIC KIRCHHOFF EQUATION

作者讨论了一个非齐次Kirchhoff方程在非严格双曲型条件下的Cauchy问题。在适当假设下，得到了此问题整体解的存在唯一性。其结果适用于一类依赖小参数的kirchhoff方程。

The author discusses the Cauchy problem for the nonhomogenous Kirchhoff equation with nonstrictly hyperbolic condition. Under applicale hypothesises,We prove the global existence and uniqueness. The result can be applied to a cluass of Kirchhoff equations depending on a small parameter.