Completeness of the rootvectors of a dissipative Sturm-Liouville operators on time scales

被引：9
|
作者：
Tuna, Huseyin [1 ]
机构：
[1] Mehmet Akif Ersoy Univ, Dept Math, Burdur, Turkey
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 228卷
关键词：
Dissipative Sturm-Liouville operator; Completeness of the system of eigenvectors and associated vectors; Livsic's theorem; Time scale; del-Differentiable; BOUNDARY-VALUE-PROBLEMS;
D O I：
10.1016/j.amc.2013.11.072
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we consider dissipative Sturm-Liouville operators in the limit-circle case on time scales. Then, using the Livsic's Theorem, we prove the completeness of the system of root vectors for dissipative Sturm-Liouville operators. (C) 2013 Elsevier Inc. All rights reserved.
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页码：108 / 115
页数：8
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