| 三点边值的Dirac算子的特征展开定理 |
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| 引用本文： | 冯伟,王军民.三点边值的Dirac算子的特征展开定理[J].郑州大学学报(理学版),2006,38(4):12-15,22. |
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| 作者姓名： | 冯伟 王军民 |
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| 作者单位： | 1. 河南教育学院数学系,郑州,450014
2. 河南财经学院信息学院,郑州,450002 |
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| 摘 要： | 解决了带有三点边值的Dirac特征值问题的特征展开定理.首先将特征值的研究化为一个整函数w(λ)的零点的研究,然后构造了豫解式问题的Green函数.据此用留数方法证明了反射型三点边值问题的特征展开定理.
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| 关 键 词： | Dirac方程 特征展开 完备正交函数系 |
| 文章编号： | 1671-6841（2006）04-0012-04 |
| 收稿时间： | 07 5 2006 12:00AM |
| 修稿时间： | 2006-07-05 |
Eigenfunction Expansion Theorem of Dirac Operator with Three-point Boundary Condition |
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| FENG Wei,WANG Jun-min.Eigenfunction Expansion Theorem of Dirac Operator with Three-point Boundary Condition[J].Journal of Zhengzhou University:Natural Science Edition,2006,38(4):12-15,22. |
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| Authors: | FENG Wei WANG Jun-min |
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| Institution: | 1. Department of Mathematics , Henan Institute of Education, Zhengzhou 450014,China 2. College of Information, Henan University of Finance and Economics, Zhengzhou 450002,China |
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| Abstract: | The eigenfunction expansion theorem of Dirac with three-point boundary condition is discussed.First,the research of eigenvalue is turned to the root of the integral function.Then,the Green function of resolvent is generated.Eigenfunction expansion theorem of reflection with three-point boundary condition is considered by the residue method. |
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| Keywords: | Dirac operator eigenfunction expansion complete orthogonal function system |
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