On a New Class of Boundary Value Problems for the Sturm-Liouville Operator

被引：1

作者：

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

机构：

[1] Moscow State Univ Instrument Engn & Comp Sci, Moscow, Russia

来源：

DIFFERENTIAL EQUATIONS | 2013年 / 49卷 / 02期

基金：

俄罗斯基础研究基金会;

关键词：

Dirichlet Problem; Root Function; Liouville Operator; Associate Function; Simple Spectrum;

D O I：

10.1134/S0012266113020146

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the spectral problem generated by the Sturm-Liouville operator with complex-valued potential q(x)is an element of L-2(0, pi) and degenerate boundary conditions. We show that the set of potentials q(x) for which there exist associated functions of arbitrarily high order in the system of root functions is everywhere dense in L-1(0, pi).

引用

页码：262 / 266

页数：5

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