LIVSIC'S THEOREM FOR q-STURM-LIOUVILLE OPERATORS

被引：3
|
作者：
Tuna, Huseyin [1 ]
Eryilmaz, Aytekin [2 ]
机构：
[1] Mehmet Akif Ersoy Univ, Dept Math, TR-15100 Burdur, Turkey
[2] Nevsehir Haci Bektas Veli Univ, Dept Math, TR-50300 Nevsehir, Turkey
来源：
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2016年 / 53卷 / 04期
关键词：
Dissipative q-Sturm-Liouville operator; completeness of the system of eigenvectors and associated vectors; Livsic's theorem; Q-DIFFERENCE EQUATIONS; OSCILLATOR;
D O I：
10.1556/012.2016.53.4.1348
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study dissipative q-Sturm-Liouville operators in Weyl's limit circle case. We describe all maximal dissipative, maximal accretive, self adjoint extensions of q-Sturm-Liouville operators. Using Livsic's theorems, we prove a theorem on completeness of the system of eigenvectors and associated vectors of the dissipative q-Sturm-Liouville operators.
引用
收藏
页码：512 / 524
页数：13
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