论文标题
带有混合参数的阻尼二阶准线性波方程的振荡
Oscillation of damped second order quasilinear wave equations with mixed arguments
论文作者
论文摘要
在先前的工作[1]之后，我们研究了阻尼对具有Robin和Dirichlet边界条件的某种准线性波方程的平滑溶液振荡的影响。通过使用广义的Riccati转换和技术不平等方法，我们提供了一些足够的条件来保证所有平滑溶液的振荡。从结果来看，我们得出结论，阳性阻尼可以``阻止''振荡。最后，提出了一些示例以确认我们的主要结果。
Following the previous work [1], we investigate the impact of damping on the oscillation of smooth solutions to some kind of quasilinear wave equations with Robin and Dirichlet boundary condition. By using generalized Riccati transformation and technical inequality method, we give some sufficient conditions to guarantee the oscillation of all smooth solutions. From the results, we conclude that positive damping can ``hold back" oscillation. At last, some examples are presented to confirm our main results.
