论文标题
Massera的高阶分散系统定理
Massera's theorems for a higher order dispersive system
论文作者
论文摘要
这项工作致力于为Kawahara系统提供Massera型定理,这是一个在有限域中提出的高阶分散方程。确切地说,由于半群的某些特性以及该方程式的解决方案的衰减,我们能够证明其解决方案是周期性的,准周期性的,几乎是周期性的。
This work is devoted to present Massera-type theorems for the Kawahara system, a higher order dispersive equation, posed in a bounded domain. Precisely, thanks to some properties of the semigroup and the decays of the solutions of this equation, we are able to prove its solutions are periodic, quasi-periodic and almost periodic.