PROPERTIES OF THE RESOLVENT OF SINGULAR q-DIRAC OPERATORS
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, cilt.2020, ss.1-13, 2020 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 2020
- Basım Tarihi: 2020
- Dergi Adı: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH, Directory of Open Access Journals
- Sayfa Sayıları: ss.1-13
- Anahtar Kelimeler: Q-Dirac operator, Resolvent operator, Singular point, Spectral function, Titchmarsh-Weyl function
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
In this article, we investigate the resolvent operator of a singular q-Dirac system. We obtain an integral representations for the resolvent of this system, in terms of the spectral function. Furthermore, we give a formula for the Titchmarsh-Weyl function of q-Dirac system using the integral representation of the resolvent.