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| 一类具有转移条件且边界条件中含有特征参数的四阶微分算子的自共轭性 | |
| 引用本文： | 刘春玲,王万义. 一类具有转移条件且边界条件中含有特征参数的四阶微分算子的自共轭性[J]. 内蒙古大学学报(自然科学版), 2010, 41(4) |
| 作者姓名： | 刘春玲 王万义 |
| 作者单位： | 1. 内蒙古师范大学数学科学学院,呼和浩特,010022 2. 内蒙古大学数学科学学院,呼和浩特,010021 |
| 基金项目： | 国家自然科学基金，内蒙古自然科学基金，内蒙古师范大学自然科学基金 |
| 摘 要： | 研究了一类具有转移条件且边界条件中含有特征参数的四阶微分算子的自共轭性问题.此类问题是在一个适当的Hilbert空间中研究的,需要定义一个与问题相关的算子A,证明算子A不仅是对称的,而且在H中是自共轭的. |
| 关 键 词： | 转移条件 微分算子 特征参数 自共轭 |
Self-adjointness of a Class of 4-order Differential Operators with Transmissions Conditions and Boundary Conditions Containing Characteristic Parameter |
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| LIU Chun-ling,WANG Wan-yi. Self-adjointness of a Class of 4-order Differential Operators with Transmissions Conditions and Boundary Conditions Containing Characteristic Parameter[J]. Acta Scientiarum Naturalium Universitatis Neimongol, 2010, 41(4) | |
| Authors: | LIU Chun-ling WANG Wan-yi |
| Affiliation: | LIU Chun-ling1,WANG Wan-yi2(1.College of Mathematical Science,Inner Mongolia Normal University,Hohhot 010022,China,2.School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China) |
| Abstract: | The self-adjointness of a class of 4-order differential operators with transmission conditions and the boundary conditions containing characteristic parameter is investigated.Such problems are studied in an appropriate Hilbert space,and need to define an operator A relevant to the problem and to prove the operator is not only symmetric,but also self-adjoint. |
| Keywords: | transmissions condition differential operator characteristic parameter self-adjoint |
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