Investigation of the spectrum of singular Sturm-Liouville operators on unbounded time scales

被引：4

作者：

Allahverdiev, Bilender P. ^{[1
]}

Tuna, Huseyin ^{[2
]}

机构：

[1] Suleyman Demirel Univ, Dept Math, TR-32260 Isparta, Turkey

[2] Mehmet Akif Ersoy Univ, Dept Math, TR-15030 Burdur, Turkey

来源：

SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES | 2020年 / 14卷 / 01期

关键词：

Sturm-Liouville operator; Unbounded time scales; Splitting method; Discrete spectrum; Continuous spectrum; BOUNDARY-VALUE-PROBLEMS; L-2; SPACES; EXTENSIONS; CRITERIA;

D O I：

10.1007/s40863-019-00137-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we consider the self-adjoint singular operators associated with the Sturm-Liouville expression Ly:=-[p(t)y(del)(t)](del) +qtyt,t is an element of(-infinity,infinity)(T). on time scale T. Some conditions are given for this operator to have a discrete spectrum. Further, we investigate the continuous spectrum of this operator. We also prove that the regular Sturm-Liouville operator on time scale is semi-bounded from below which is not studied in literature yet.

引用

页码：327 / 340

页数：14

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