| 一类五阶微分算子自伴域的解析描述 |
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| 引用本文： | 李凤军. 一类五阶微分算子自伴域的解析描述[J]. 肇庆学院学报, 2012, 33(2): 8-12,18 |
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| 作者姓名： | 李凤军 |
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| 作者单位： | 内蒙古工业大学理学院,内蒙古呼和浩特010051／肇庆学院数学与信息科学学院,广东肇庆526061 |
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| 基金项目： | 国家自然科学基金资助项目(11171295);广东省自然科学基金资助项目(9251064101000015) |
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| 摘 要： | 讨论了一类五阶微分算子。证明它不存在分离的自伴边界条件,并由此给出几类其他自伴域解析描述的标准形式．
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| 关 键 词： | 五阶微分算子 自伴边界条件 自伴域：解析描述 |
Analytic Descriptions of a Class of Five-order Differential Operator Self-adjoint Domain |
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| LI Fengjun. Analytic Descriptions of a Class of Five-order Differential Operator Self-adjoint Domain[J]. Journal of Zhaoqing University (Bimonthly), 2012, 33(2): 8-12,18 |
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| Authors: | LI Fengjun |
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| Affiliation: | LI Fengjun1,2(1.College of Sciences,Inner Mongolia University of Technology,Hohhot,Inner Mongolia 010051,China; 2.School of Mathematics and Information Sciences,Zhaoqing University,Zhaoqing,Guangdong 526061,China) |
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| Abstract: | The paper presents a discussion of a class of five-order differential operators,and proves that there is no separated self-adjoint boundary conditions in reality.On the basis of this,some other standard forms of self-adjoint domain are provided. |
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| Keywords: | five-order differential operators boundary conditions self-adjoint domains analytic description |
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