Spectral Theory of Singular Hahn Difference Equation of the Sturm-Liouville Type-Reference-Cited by-同舟云学术

Spectral Theory of Singular Hahn Difference Equation of the Sturm-Liouville Type

Published:2020-06-01 Issue:1 Volume:28 Page:13-25
ISSN:2336-1298
Container-title:Communications in Mathematics
language:en
Short-container-title:

Author:

Allahverdiev Bilender P.¹,Tuna Hüseyin²

Affiliation:

1. Department of Mathematics , Süleyman Demirel University , 32260 Isparta , Turkey

2. Department of Mathematics , Mehmet Akif Ersoy University , 15030 Burdur , Turkey

Abstract

Abstract In this work, we consider the singular Hahn difference equation of the Sturm-Liouville type. We prove the existence of the spectral function for this equation. We establish Parseval equality and an expansion formula for this equation on a semi-unbounded interval.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/cm-2020-0002

Reference39 articles.

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3. [3] Allahverdiev B.P., Tuna H.: Spectral expansion for singular Dirac system with impulsive conditions. Turkish J. Math. 42 (5) (2018) 2527–2545.

4. [4] Allahverdiev B.P., Tuna H.: Eigenfunction expansion in the singular case for Dirac systems on time scales. Konuralp J. Math. 7 (1) (2019) 128–135.

5. [5] Allahverdiev B.P., Tuna H.: The spectral expansion for Hahn-Dirac system on the whole line. Turkish J. Math. 43 (2019) 1668–1687.

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