Some properties of eigenvalues and generalized eigenvectors of one boundary-value problem

被引：3
|
作者：
Olgar, Hayati [1 ]
Mukhtarov, Oktay [1 ,2 ]
Aydemir, Kadriye [3 ]
机构：
[1] Gaziosmanpasa Univ, Dept Math, TR-60250 Tokat, Turkey
[2] Azerbaijan Natl Acad Sci, Inst Math & Mech, Baku, Azerbaijan
[3] Giresun Univ, Fac Educ, TR-28100 Giresun, Turkey
来源：
INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016) | 2016年 / 1759卷
关键词：
Boundary value problem; Eigenvalues; Generalized eigenvectors; STURM-LIOUVILLE PROBLEMS; TRANSMISSION CONDITIONS; PARAMETER;
D O I：
10.1063/1.4959674
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate a discontinuous boundary value problem which consists of a Sturm-Liouville equation with piece wise continuous potential together with eigenparameter-dependent boundary conditions and supplementary transmission conditions. We establish some spectral properties of the considered problem. In particular it is shown that the generalized eigen-functions form a Riesz basis of the adequate Hilbert space.
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页数：3
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