ON SPECTRAL PROPERTIES OF STURM-LIOUVILLE OPERATOR WITH MATRIX POTENTIAL

被引：8

作者：

Uskova, Natalia Borisovna ^{[1
]}

机构：

[1] Voronezh State Tech Univ, Moskovskii Av 14, Voronezh 394016, Russia

来源：

UFA MATHEMATICAL JOURNAL | 2015年 / 7卷 / 03期

关键词：

Similar operator method; spectrum; linear operators; spectral projectors;

D O I：

10.13108/2015-7-3-84

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the work we obtain asymptotic estimates for the eigenvalues, eigenvectors and spectral projectors of a Sturm-Liouville operator with a matrix potential subject to quasi-periodic boundary conditions. The matrix potential is formed by functions square summable on the segment [0, 1] and the matrix of the means of the functions have simple eigenvalues. We consider also the case when the matrix of the means has a simple structure.

引用

页码：84 / 94

页数：11

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