Completeness of the system of root functions of q-Sturm-Liouville operators

被引：0
作者：
Tuna, Huseyin [1 ]
Eryilmaz, Aytekin [2 ]
机构：
[1] Mehmet Akif Ersoy Univ, Dept Math, TR-15100 Burdur, Turkey
[2] Nevsehir Univ, Dept Math, TR-50300 Nevsehir, Turkey
来源：
MATHEMATICAL COMMUNICATIONS | 2014年 / 19卷 / 01期
关键词：
q-Sturm-Liouville operator; dissipative operator; completeness of the system of eigenvectors and associated vectors; Lidskii ' s theorem; Q-DIFFERENCE EQUATIONS; EIGENVECTORS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study q-Sturm-Liouville operators. We construct a space of boundary values of the minimal operator and describe all maximal dissipative, maximal accretive, self-adjoint and other extensions of q-Sturm-Liouville operators in terms of boundary conditions. Then we prove a theorem on completeness of the system of eigen-functions and associated functions of dissipative operators by using the Lidskii's theorem.
引用
收藏
页码：65 / 73
页数：9
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