Self-adjoint extensions for a class of singular operators

被引:0
作者
AMIROV, Rauf [1 ]
HUSEYNOV, Hidayat Mehmetoglu [1 ,2 ,3 ,4 ]
DURAK, Sevim [1 ]
机构
[1] Cumhuriyet Univ, Dept Math, Fac Sci, Sivas, Turkey
[2] Baku State Univ, Baku, Azerbaijan
[3] Natl Acad Sci Azerbaijan, Inst Math & Mech, Baku, Azerbaijan
[4] Azerbaijan Univ, Baku, Azerbaijan
关键词
Sturm-Liouville equation; minimal and maximal operators; self-adjoint extensions;
D O I
10.3906/mat-2008-86
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this study, we consider the domains of the minimal and maximal operators generated of singular differential-expression-type Sturm-Liouville and obtain all self-adjoint extensions of the operator in terms of boundary conditions.
引用
收藏
页码:300 / 304
页数:5
相关论文
共 8 条
[1]  
Akhiezer N. I., 1978, Theory of Linear Operators in Hilbert Spaces
[2]  
Albeverio S., 1988, SOLVABLE MODELS QUAN
[3]   Boundary value problems for a class of Sturm-Liouville operators with nonintegrable potential [J].
Amirov, RK ;
Guseinov, IM .
DIFFERENTIAL EQUATIONS, 2002, 38 (08) :1195-1197
[4]  
[Anonymous], 1969, Linear Differential Operators
[5]  
BAIRAMOGLY M, 1976, IZV AN AZERB SSR, P140
[6]  
Levitan B M., 1970, Introduction to spectral theory
[7]  
Rofe-Beketov FS, 2005, SPECTRAL ANAL DIFFER
[8]   Sturm-Liouville operators with singular potentials [J].
Savchuk, AM ;
Shkalikov, AA .
MATHEMATICAL NOTES, 1999, 66 (5-6) :741-753