INDICES DEFECT THEORY OF SINGULAR HAHN-STURM-LIOUVILLE OPERATORS

Bilender P. Allahverdiev; Hüseyin Tuna

doi:10.11948/20180308

2019 Volume 9 Issue 5

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Bilender P. Allahverdiev, Hüseyin Tuna. INDICES DEFECT THEORY OF SINGULAR HAHN-STURM-LIOUVILLE OPERATORS[J]. Journal of Applied Analysis & Computation, 2019, 9(5): 1719-1730. doi: 10.11948/20180308

Citation:

Bilender P. Allahverdiev, Hüseyin Tuna. INDICES DEFECT THEORY OF SINGULAR HAHN-STURM-LIOUVILLE OPERATORS[J]. Journal of Applied Analysis & Computation, 2019, 9(5): 1719-1730. doi: 10.11948/20180308

INDICES DEFECT THEORY OF SINGULAR HAHN-STURM-LIOUVILLE OPERATORS

Bilender P. Allahverdiev¹,
Hüseyin Tuna^2, ,

1.
Department of Mathematics, Süleyman Demirel University, 32260 Isparta, Turkey
2.
Department of Mathematics, Mehmet Akif Ersoy University, 15030 Burdur, Turkey

Corresponding author: Email address:hustuna@gmail.com(H. Tuna)

Abstract

Abstract

In this article, we extend the results concerning the deficiency index problem to singular Hahn-Sturm-Liouville difference operators. We establish some criteria under which the singular Hahn-Sturm-Liouville equation is of limit-point case at infinity.
- Hahn-Sturm-Liouville operator /
- symmetric operator /
- limit-point case /
- indices defect
MSC: 39A70, 47B25, 39A13, 34B20, 39A12

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References

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