N维向量Sturm-Liouville算子的正则迹及其在反谱问题中的应用  

Regularized Trace for N-Dimensional Vectorial Sturm-Liouville Operator and Its Application in the Inverse Spectral Problem

作　　者：杨传富[1] 黄振友[1] 

机构地区：[1]南京理工大学应用数学系,南京210094

出　　处：《应用泛函分析学报》2010年第2期137-142,共6页Acta Analysis Functionalis Applicata

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.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.

关 键 词：向量Sturm—Liouville问题 特征值的渐近性 迹公式 反谱问题 

分 类 号：O175.3[理学—数学]