A Representation of the Resolvent Operator of Singular Hahn-Sturm-Liouville Problem

Allahverdiev, Bilender; TUNA, HÜSEYİN

doi:10.1080/01630563.2019.1658604

A Representation of the Resolvent Operator of Singular Hahn-Sturm-Liouville Problem

Allahverdiev B., TUNA H.

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, cilt.41, sa.4, ss.413-431, 2020 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 41 Sayı: 4
Basım Tarihi: 2020
Doi Numarası: 10.1080/01630563.2019.1658604
Dergi Adı: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, MathSciNet, Metadex, zbMATH, DIALNET, Civil Engineering Abstracts
Sayfa Sayıları: ss.413-431
Süleyman Demirel Üniversitesi Adresli: Evet

Özet

In this article, we construct the resolvent operator of regular Hahn-Sturm-Liouville problem. Later we derive some properties of the resolvent operator. Finally, we obtain integral representation for the resolvent operator of singular Hahn-Sturm-Liouville problem in terms of the spectral function.