| Hille-Yosida定理在一类无穷维Hamiltion系统中的应用 |
| |
| 引用本文： | 额布日力吐,阿拉坦仓.Hille-Yosida定理在一类无穷维Hamiltion系统中的应用[J].数学的实践与认识,2012,42(11):198-204. |
| |
| 作者姓名： | 额布日力吐 阿拉坦仓 |
| |
| 作者单位： | 内蒙古大学数学科学学院,内蒙古呼和浩特,010021 |
| |
| 基金项目： | 国家自然科学基金，高等学校博上学科点专项科研基金 |
| |
| 摘 要： | 应用Hille-Yosida定理研究了无穷维Hamilton算子,得到了一个无穷维Hamilton系统初值问题解的存在性定理,并把结果应用在由一类双曲型偏微分方程导出的无穷维Hamilton系统中,给出了此类无穷维Hamilton系统解的存在性定理.
|
| 关 键 词： | 无穷维Hamiltion系统 无穷维Hamiltion算子 算子半群 双曲型偏微分方程 |
The Application of Hille-Yosida Theorem to a Class of Infinite Dimensional Hamiltonian System |
| |
| Eburilitu
,
Alatancang.The Application of Hille-Yosida Theorem to a Class of Infinite Dimensional Hamiltonian System[J].Mathematics in Practice and Theory,2012,42(11):198-204. |
| |
| Authors: | Eburilitu Alatancang |
| |
| Institution: | Eburilitu,Alatancang (School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China) |
| |
| Abstract: | Applying Hille-Yosida theorem,the infinite dimensional hamiltonian operators is investigated.Then it is proved that the existence theorem of solutions for a class of initial value problems of infinite dimensional hamiltonian systems.In particular,the obtained result is applied to the infinite dimensional hamiltonian system generated by a kind of hyperbolic partial differential equations and its the existence theorem of solutions is obtained. |
| |
| Keywords: | infinite dimensional hamiltonian system infinite dimensional hamiltonian operators operator semigroup hyperbolic partial differential equations |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
