MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.43, no.7, pp.4286-4302, 2020 (SCI-Expanded)
Article / Article
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
Hilbert-Schmidt kernel, resolvent operator, singular point, sturm-Liouville problem, spectral function, transmission conditions, Weyl-Titchmarsh function, SPECTRAL THEORY, SCATTERING
Süleyman Demirel University Affiliated:
In this article, we investigate the resolvent operator of singular Sturm-Liouville problem with transmission conditions. We obtain integral representations for the resolvent of this operator in terms of the spectral function. Later, we discuss some properties of the resolvent operator, such as Hilbert-Schmidt kernel property, compactness. Finally, we give a formula in terms of the spectral function for the Weyl-Titchmarsh function of this problem.