Krein's Theorems for a Dissipative Boundary Value Transmission Problem

被引：29

作者：

Bairamov, Elgiz ^{[1
]}

Ugurlu, Ekin ^{[1
]}

机构：

[1] Ankara Univ, Dept Math, TR-06100 Ankara, Turkey

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2013年 / 7卷 / 04期

关键词：

Boundary value problem; Transmission condition; Eigenvalue problem; Krein's theorem; LIOUVILLE; OPERATORS;

D O I：

10.1007/s11785-011-0180-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let us consider the differential expression where c is a transmission point and is regular for the differential expression a""(y). We assume that Weyl's limit-circle case holds for the differential expression a""(y) on I. In this paper, using Krein's theorems, we investigate the completeness of the root vectors of a singular dissipative boundary value transmission problem generated by a""(y).

引用

页码：831 / 842

页数：12

共 15 条

[1] Green function of discontinuous boundary-value problem with transmission conditions [J].