| 王晨牧.一类波动方程耦合系统具Dirichlet边界控制的部分精确边界同步性[J].数学年刊A辑,2020,41(2):115~138 |
| 一类波动方程耦合系统具Dirichlet边界控制的部分精确边界同步性 |
| Partial Exact Boundary Synchronization for a Coupled System of Wave Equations with Dirichlet Boundary Controls |
| Received:March 19, 2020 |
| DOI：10.16205/j.cnki.cama.2020.0009 |
| 中文关键词: 波动方程耦合组, 部分精确边界同步性, 部分精确边界同步态 |
| 英文关键词:Coupled system of wave equations, Partial exact boundary synchronization, Partial exact boundary synchronizable state |
| 基金项目: |
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| 中文摘要: |
| 作者对具有Dirichlet边界控制的一类波动方程耦合系统提出了部分精确边界同步性的概念,并对其进行了深入的讨论, 得到了实现部分精确边界同步性的充要条件.同时对部分同步态进行了讨论, 得到了部分同步态不依赖于边界控制的一个充分条件. |
| 英文摘要: |
| This paper proposes the concept of partial exact boundary synchronization for a coupled system of wave equations with Dirichlet boundary controls, and makes a deep discussion on it and obtains necessary and sufficient conditions for its realization. Meanwhile, the author studies the partial synchronizable state and obtains a sufficient condition to guarantee that the partial synchronizable state does not depend on applied boundary controls. |
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