A Representation of the Resolvent Operator of Singular Hahn-Sturm-Liouville Problem. (11th March 2020)

• Record Type: Journal Article
• Authors: Allahverdiev, Bilender P.; Tuna, Hüseyin
• Is Part Of: Numerical functional analysis and optimization. Volume 41:Number 4(2020)
• Page Start: 413
• Page End: 431
• Publication Date: 2020-03-11
• Subjects: Hahn-Sturm-Liouville equation -- singular point -- spectral function -- resolvent operator -- Hilbert-Schmidth kernel; 39A13 -- 39A70 -- 34B24 -- 47A10; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2019.1658604
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: 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.