| N维向量Sturm-Liouville算子的正则迹及其在反谱问题中的应用 |
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| 引用本文： | 杨传富,黄振友.N维向量Sturm-Liouville算子的正则迹及其在反谱问题中的应用[J].应用泛函分析学报,2010,12(2):137-142. |
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| 作者姓名： | 杨传富 黄振友 |
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| 作者单位： | 南京理工大学,应用数学系,南京,210094 |
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| 摘 要： | 研究了赋予一般分离型边界条件的N维向量Sturm-Liouville方程的特征值问题,获得了该系统的一个正则迹公式.迹公式不仅形式美观,而且它在反谱理论中具有重要的作用.
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| 关 键 词： | 向量Sturm—Liouville问题 特征值的渐近性 迹公式 反谱问题 |
Regularized Trace for N-Dimensional Vectorial Sturm-Liouville Operator and Its Application in the Inverse Spectral Problem |
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| YANG Chuanfu,HUANG Zhenyou.Regularized Trace for N-Dimensional Vectorial Sturm-Liouville Operator and Its Application in the Inverse Spectral Problem[J].Acta Analysis Functionalis Applicata,2010,12(2):137-142. |
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| Authors: | YANG Chuanfu HUANG Zhenyou |
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| Institution: | ( Department of Applied Mathematics, Nanjing University of Science ＆ Technology, Nanjing 210094, China) |
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| Abstract: | Vectorial Sturm-Liouville equations are meaningful for the study in the particle physics. The eigenvalue problems for N-dimensional vectorial Sturm-Liouville equations subject to the general separation boundary conditions are considered in the present paper. A regularized trace formula for this systems is obtained with a residue computation. Beyond it aesthetic appeal, trace formula plays an important role in inverse spectral theory. |
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| Keywords: | vectorial Sturm-Liouville problems asymptotics of eigenvalues trace formula inverse spectral problem |
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