Trace formula for the matrix Sturm-Liouville operator

被引：6
作者：
Yang, Chuan-Fu [1 ]
机构：
[1] Nanjing Univ Sci & Technol, Dept Appl Math, Nanjing 210094, Jiangsu, Peoples R China
来源：
ANALYSIS AND MATHEMATICAL PHYSICS | 2016年 / 6卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Matrix Sturm-Liouville problem; Trace formula; Eigenvalue; Rouche's theorem; DIFFERENTIAL-OPERATORS; BOUNDARY-CONDITIONS; EQUATION;
D O I：
10.1007/s13324-015-0103-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A regularized trace formula of first order for the matrix Sturm-Liouville operator -d(2)/dx(2) + Q with a d x d self-adjoint matrix-valued potential Q in L-2(( 0, pi); dx)(d) is derived, which extends the well-known scalar case d = 1.
引用
收藏
页码：31 / 41
页数：11
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