COMPLETENESS OF ONE TWO-INTERVAL BOUNDARY VALUE PROBLEM WITH TRANSMISSION CONDITIONS

被引：16

作者：

Aydemir, K. ^{[1
]}

Mukhtarov, O. Sh. ^{[2
]}

机构：

[1] Gaziosmanpasa Univ, Dept Math, Fac Sci, TR-60250 Tokat, Turkey

[2] Azerbaijan Natl Acad Sci, Inst Math & Mech, Baku, Azerbaijan

来源：

MISKOLC MATHEMATICAL NOTES | 2014年 / 15卷 / 02期

关键词：

Sturm-Liouville problems; transmission conditions; expansions theorem;

D O I：

10.18514/MMN.2014.1229

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper presents a new approach to the two-interval Sturm-Liouville eigenfunction expansions, based essentially on the method of integral equations. We consider the Sturm-Liouville problem together with two supplementary transmission conditions at one interior point. Further we develop Green's function method for spectral analysis of the considered problem in modified Hilbert space.

引用

页码：293 / 303

页数：11

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