一类非线性波方程的周期解

The Periodic Solutions on a Class of Nonlinear Wave Equations with Damping Terms

本文讨论了带阻尼项的非线性波方程的周期解的存在性问题。文中对非线性项不附加增长限制,仅要求“符号条件”。对于非线性项本质含时间变量l且为强非线性的情形,得到了一些周期解的存在性定理。

In this paper, the existences of periodic solutions for nonlinear wave equations withdamping terms is discussed. Here, the nonlinear term has no growth restriction anddepends only on the sign condition. Some existence theorems are obtained when thenonlinear term sqtisfies the sign condition.