| 常型Sturm-Liouville算子特征值的渐近式和迹公式 |
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| 引用本文： | 陈莉敏.常型Sturm-Liouville算子特征值的渐近式和迹公式[J].五邑大学学报(自然科学版),2012,26(2):25-28. |
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| 作者姓名： | 陈莉敏 |
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| 作者单位： | 常州工程职业技术学院基础部,江苏常州,213164 |
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| 摘 要： | 应用迭代法计算了自伴型Sturm-Liouville微分算子特征值的渐近式,据此给出了算子的一类迹公式,并计算出其正则项和迹量.
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| 关 键 词： | Sturm-Liouville算子 特征值 迹公式 |
An Asymptotic Expression and Trace Formula of Eigenvalues for Sturm-Liouville Operators |
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| CHEN Li-min.An Asymptotic Expression and Trace Formula of Eigenvalues for Sturm-Liouville Operators[J].Journal of Wuyi University(Natural Science Edition),2012,26(2):25-28. |
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| Authors: | CHEN Li-min |
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| Institution: | CHEN Li-min (Department of Basic Courses, Changzhou Institute of Engineering Technology, Changzhou 213164, China) |
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| Abstract: | The coefficients in asymptotic formulae of eigenvalue for Sturm-Liouville operators with self-adjoined boundary condition are calculated, and on the basis of this, a new trace concept and its expressions are introduced. |
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| Keywords: | Sturm-Liouville operators eigenvalues trace formulae |
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