Large eigenvalues and trace formulas for matrix Sturm-Liouville problems

被引：30

作者：

Carlson, R ^{[1
]}

机构：

[1] Univ Colorado, Dept Math, Colorado Springs, CO 80933 USA

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1999年 / 30卷 / 05期

关键词：

trace formulas; eigenvalue asymptotics; Sturm-Liouville problems;

D O I：

10.1137/S0036141098340417

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work describes the location of large eigenvalues for Sturm-Liouville operators with matrix coefficients. Eigenvalue asymptotics of arbitrary order are characterized for operators with smooth coefficients and "elementary" boundary conditions. In addition, an effective method is given for computing traces of these operators. These techniques are employed to verify a previously conjectured trace formula.

引用

页码：949 / 962

页数：14

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