On the absence of the basis property for the root function system of the Sturm-Liouville operator with degenerate boundary conditions

被引：1

作者：

Makin, A. S. ^{[1
]}

机构：

[1] Moscow State Tech Univ Radio Engn Elect & Automat, Pr Vernadskogo 78, Moscow 119454, Russia

来源：

DOKLADY MATHEMATICS | 2016年 / 93卷 / 02期

基金：

俄罗斯基础研究基金会;

关键词：

COMPLETENESS; ASYMPTOTICS;

D O I：

10.1134/S1064562416020290

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The eigenvalue problem generated by the Sturm-Liouville equation on the interval (0, pi) with degenerate boundary conditions is considered. Under certain conditions imposed on the spectrum, it is shown that the system of eigen- and associated functions is not a basis in L (2)(0, pi).

引用

页码：220 / 222

页数：3

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