On the resolvent of singular Sturm-Liouville operators with transmission conditions
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.43, sa.7, ss.4286-4302, 2020 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 43 Sayı: 7
- Basım Tarihi: 2020
- Doi Numarası: 10.1002/mma.6193
- Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
- Derginin Tarandığı İndeksler: 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
- Sayfa Sayıları: ss.4286-4302
- Anahtar Kelimeler: Hilbert-Schmidt kernel, resolvent operator, singular point, sturm-Liouville problem, spectral function, transmission conditions, Weyl-Titchmarsh function, SPECTRAL THEORY, SCATTERING
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
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.